{"as_of":"2026-08-15T02:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:970a7277e8bf8fa0729c221f8c32d09a0049f469bc679627c4082edd7d9164d4","coverage":[{"denominator":106,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T13:02:55.543524Z","state":"measured"},{"denominator":102,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":102,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T11:09:57.562530Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-19T04:52:03.737808Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.13596","snapshot_observed_at":"2026-08-11T11:09:57.562530Z","title":"η-ensemble path integral monte carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15777","last_updated":"2024-12-20T10:45:58Z","snapshot_observed_at":"2026-08-11T11:04:19.222952Z","submitted_at":"2024-12-20T10:45:58Z","title":"Chemical potential of the warm dense electron gas from ab initio path integral Monte Carlo simulations","version":1},"reference_index":112,"source":"pdf_text","source_observed_at":"2026-08-11T11:09:57.562530Z"},"links":{"cited_paper":"/paper/2412.13596","citing_paper":"/paper/2412.15777"},"observation_digest":"sha256:d3bff69ea9fdc68d4b0aa51c33ce31240ce47a1b85fb07a7f9a17ec2542ffc8b","observation_id":"99950262-b4d7-4817-9929-2f154ec1ea6c","resolution":{"observed_at":"2026-08-11T11:09:57.562530Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"cited_work":{"arxiv_id":"2412.13596","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.13596","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A.; Vorberger, J","venue":null,"work_id":"7024a873-8683-4899-af28-45da4b54996f","year":2023},"citing_paper":{"arxiv_id":"2507.12960","last_updated":"2025-07-17T09:56:38Z","snapshot_observed_at":"2026-08-11T18:26:42.193769Z","submitted_at":"2025-07-17T09:56:38Z","title":"Accelerated free energy estimation in ab initio path integral Monte Carlo simulations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-19T04:48:16.005925Z"},"links":{"cited_paper":"/paper/2412.13596","citing_paper":"/paper/2507.12960"},"observation_digest":"sha256:ae015e2135196db4466f820dc77ee1d6dd5e1ad967949712f3029b9b82e13fbf","observation_id":"8e42da19-7769-4394-ab3a-b70a59375c79","resolution":{"observed_at":"2026-05-19T04:52:03.739927Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.13596/citation-record","integrity":"/paper/2412.13596/integrity","json":"/paper/2412.13596/citation-record.json","paper":"/paper/2412.13596"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.016834Z","title":"Path-integral calculations of normal liquid 3He,","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.016834Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:abe1398f5b9e6c06e014c5ea7f383c6e54370e0412cacf043fbd2fd6e846b4f7","observation_id":"5691b350-c898-4d7b-ba8e-5d61fcbceae4","resolution":{"observed_at":"2026-08-11T13:02:55.016834Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.01569","last_updated":"2025-01-16T22:53:05Z","snapshot_observed_at":"2026-08-14T20:30:44.631658Z","submitted_at":"2024-10-02T14:07:26Z","title":"Normal liquid $^3$He studied by Path Integral Monte Carlo with a parametrized partition function","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.01569","snapshot_observed_at":"2026-08-11T13:02:55.022844Z","title":"Nor- mal liquid 3he studied by path integral monte carlo with a parametrized partition function,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.022844Z"},"links":{"cited_paper":"/paper/2410.01569","citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:1e1a372c4ce99d00fbf91f932b44684cf5680a68e678f31320d3457a947969f2","observation_id":"f67d726e-5a1c-4263-8990-5114712153a6","resolution":{"observed_at":"2026-08-11T13:02:55.022844Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.028026Z","title":"Dobbs, Helium Three, International series of mono- graphs on physics (Oxford University Press, 2000)","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.028026Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:daf75a62d596210ff85822fe200394c58a636342be0bdebbe96a8d4bc800e314","observation_id":"0294e2be-22bd-4101-afde-292cd39830c6","resolution":{"observed_at":"2026-08-11T13:02:55.028026Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.032822Z","title":"Path integral monte carlo approach to the structural properties and collec- tive excitations of liquid 3he without fixed nodes,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.032822Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:38c7d0937554832f35db5ce7e17d4a8384cd893d031e5c0334ea67f8a996d9d0","observation_id":"9036ae6a-a2aa-455b-a0f5-744ec6f06ab6","resolution":{"observed_at":"2026-08-11T13:02:55.032822Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.036777Z","title":"Observation of a roton collec- tive mode in a two-dimensional fermi liquid,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.036777Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:0a2ee8063264c0dff35837651dbc827a7a19a81b6832472d8690f08673f820f5","observation_id":"3d6e0912-7e53-4381-9c16-a8a4737fad4c","resolution":{"observed_at":"2026-08-11T13:02:55.036777Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.041199Z","title":"Universality of the phonon–roton spectrum in liquids and superfluidity of 4he,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.041199Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:08d102172fb03de4843b3dca4df0cece4f1b9729791f8f0696b40ed4fc3131d1","observation_id":"f3520999-d5e1-4fd7-bedf-5fd93e007206","resolution":{"observed_at":"2026-08-11T13:02:55.041199Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.046253Z","title":"Dynamic structure factor of liquid 4He across the normal-superfluid transition,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.046253Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:6044215bf5f75d6af97923486f2891aaa44104529a847863417a149fddf69a3b","observation_id":"d5c595c1-680d-4faa-aa6e-054c9e141bcd","resolution":{"observed_at":"2026-08-11T13:02:55.046253Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.050687Z","title":"Density fluctuations in liquid 4He. Path integrals and maximum entropy,","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.050687Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:bdd65c20f21fe519877206cc8ae1d57e7fa1ca87386db7611ffb3c2c1406e46f","observation_id":"16dbdef2-2485-4c9f-bf20-07a17ad70cdf","resolution":{"observed_at":"2026-08-11T13:02:55.050687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.055464Z","title":"Elec- tronic structure of quantum dots,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.055464Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:fc1abec2959ed4ef1ef96df02e859a47baaaf71900cd3ff9172ca53a62b99686","observation_id":"e7ed62b2-c34d-4372-8e19-8228f22b92f3","resolution":{"observed_at":"2026-08-11T13:02:55.055464Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.061158Z","title":"For- mation of wigner molecules in small quantum dots,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.061158Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:ffa06711556fe7c679df2bb0dad223594fa1f87ea95379593afa426e8bab9199","observation_id":"0cfd5430-965e-446d-999b-eeee277d0f1b","resolution":{"observed_at":"2026-08-11T13:02:55.061158Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.065988Z","title":"Wigner molecules in quantum dots,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.065988Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:290b5ace9c7e2a111f9aa2c65710116362431867a63b49a58ad2dacbe9a0d324","observation_id":"b1d6e94f-2043-411d-ba91-07cb32d6f026","resolution":{"observed_at":"2026-08-11T13:02:55.065988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.070278Z","title":"Crossover from fermi liquid to wigner molecule behav- ior in quantum dots,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.070278Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:fbbaac51b79179abd29d5127e42270cb99b3e89b748e78d086099c6411bd79d3","observation_id":"e0681752-ff4a-4a22-ab65-c8859af466cb","resolution":{"observed_at":"2026-08-11T13:02:55.070278Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.075153Z","title":"Wigner crystallization in mesoscopic 2d electron sys- tems,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.075153Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:c6bd72b681c03889251a255f11dea76c44d40c611982fd70f3b734de3da9e1fa","observation_id":"3ce907b4-b5c4-4731-83b2-c3d0e6328589","resolution":{"observed_at":"2026-08-11T13:02:55.075153Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.080128Z","title":"Abnormal quan- tum moment of inertia and structural properties of elec- trons in 2d and 3d quantum dots: an ab initio path- integral monte carlo study,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.080128Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:6727b1368afbfb6eb08cd31857fe96d25388dda0dfa00793f0456fa3425296db","observation_id":"a9a809e8-9740-483a-b7a1-6b5f10b694fc","resolution":{"observed_at":"2026-08-11T13:02:55.080128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.084535Z","title":"Abnormal superfluid fraction of harmonically trapped few-fermion systems,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.084535Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:2de860dbad6165d7560548df3e9b93f42aa4d37237ec54a7cafd83d1c286ace5","observation_id":"b15d91f8-69a4-4b59-a454-a1bd1fedc75f","resolution":{"observed_at":"2026-08-11T13:02:55.084535Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.089090Z","title":"Graziani, M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.089090Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:62cbabed253443f517216090c6df813a7b315e6949f1e63ae755bcbc846a2108","observation_id":"49673d09-4fd3-464e-b752-81ef6f786cb8","resolution":{"observed_at":"2026-08-11T13:02:55.089090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.093922Z","title":"Re- cent progress in the theory and simulation of strongly correlated plasmas: phase transitions, transport, quan- tum, and magnetic field effects,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.093922Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:0a416a15e9906532ede82c4f75c0a983d09704e9448127e8231d0c1e0894d313","observation_id":"13d6bcad-0b1b-447f-9732-db6f51d87cc2","resolution":{"observed_at":"2026-08-11T13:02:55.093922Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.099392Z","title":"Giuliani and G","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.099392Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:5989c1e19d08a2fc9e157570d0f6f4b9fd0e53c82c11fb88d8666579fd12baa0","observation_id":"115fa629-5c3f-4a3d-8b19-cdc25c40a03d","resolution":{"observed_at":"2026-08-11T13:02:55.099392Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.104799Z","title":"Progress in warm dense matter study with applications to planetology,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.104799Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:7f9eabc77b263dc980149b4561f7151d430cf4d1ed768b6e3e27b8e168f53a80","observation_id":"854b3448-124a-4553-8681-c325eebe3db2","resolution":{"observed_at":"2026-08-11T13:02:55.104799Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.109195Z","title":"Ab initio equations of state for hydrogen (h-reos.3) and helium (he-reos.3) and their implications for the interior of brown dwarfs,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.109195Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:723c83108a1a64bf6feedf8701ed7b617437087ad44dc4eea198b0408c215977","observation_id":"661dee63-36d0-40b7-ae01-eb794de6b8b3","resolution":{"observed_at":"2026-08-11T13:02:55.109195Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.113610Z","title":"Current challenges in the physics of white dwarf stars,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.113610Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:b8e3ab4495831ad312797cc3dc85679278650c7767638d5dfbd6cb63cffb59b4","observation_id":"e43023a6-1ead-41ce-8a0c-8ccbd981eec1","resolution":{"observed_at":"2026-08-11T13:02:55.113610Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.118907Z","title":"Nanosecond formation of diamond and lonsdaleite by shock com- pression of graphite,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.118907Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:c0423f338b1c58a55d4c31322eb954be82815ece166b79d6960d33ba2d67bb6f","observation_id":"01d83f48-1905-43f7-998a-698f49f106da","resolution":{"observed_at":"2026-08-11T13:02:55.118907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.123359Z","title":"Formation of diamonds in laser-compressed hydrocarbons at plane- tary interior conditions,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.123359Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:ec42e2f01bc8909fce68361b60c7c9f381e253b89e4cf48617e8e6bbeeb3436e","observation_id":"2a803aa5-5346-4428-bb75-62108c7a5981","resolution":{"observed_at":"2026-08-11T13:02:55.123359Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.129456Z","title":"Inertial-confinement fu- sion with lasers,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.129456Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:efc5b83bfa25fe65d870d09689f3bff5588101e5df8d8441cc0f89c8584b7b6c","observation_id":"d629ad7b-090f-44dc-b071-b97820471ef4","resolution":{"observed_at":"2026-08-11T13:02:55.129456Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.136648Z","title":"Physics principles of inertial confinement fu- 17 sion and u.s. program overview,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.136648Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:fc27dc1c280eaa771409bade8a0975eb434251ab2376bc8283ccc394ca134dd6","observation_id":"1cf68825-e710-4036-9b43-db7b4d3448b5","resolution":{"observed_at":"2026-08-11T13:02:55.136648Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.141308Z","title":"Drake, High-Energy-Density Physics: Founda- tion of Inertial Fusion and Experimental Astrophysics, Graduate Texts in Physics (Springer International Pub- lishing, 2018)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.141308Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:10ea8580cca8c84d5ad54fc972e321d94edf053823859c30a70ef49e91d73958","observation_id":"4a2df68a-59b9-485b-964a-90494caa852c","resolution":{"observed_at":"2026-08-11T13:02:55.141308Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.146144Z","title":"First-principles equation-of-state table of deuterium for inertial confinement fusion applications,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.146144Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:742d00f861d55ad4e1f7d44ae02404288edddb4bb22ca1d4960e48f765a42242","observation_id":"16ed42ef-66c6-4cbb-9aee-5b03eefbdaf5","resolution":{"observed_at":"2026-08-11T13:02:55.146144Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.791018Z","title":"Achievement of target gain larger than unity in an inertial fusion experiment,","venue":null,"work_id":"511f5689-6c88-47da-a49a-e33693afb284","year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.150145Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:ede81b68e00f71171caa9c83fae369f63962236d446bdf6fee1e314dc7d92eec","observation_id":"0c7265b3-4cad-4c14-b49b-89d1f45cabb7","resolution":{"observed_at":"2026-08-11T13:02:56.795792Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.777959Z","title":"Future for inertial-fusion energy in europe: a roadmap,","venue":null,"work_id":"bb690c5e-8bde-4cb3-ac55-822e35a9df9c","year":2023},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.155506Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:e9739d8a2e7df80df0cbbb640d2855ead85380a1da6f0d015b79f2b6de0fb3ad","observation_id":"94be80ff-501d-4a27-be45-f57cbb2a74fa","resolution":{"observed_at":"2026-08-11T13:02:56.782355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.763917Z","title":"Ab initio simulation of warm dense matter,","venue":null,"work_id":"1e4edb67-450a-4a1b-9bbc-29649b23fcd1","year":2020},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.159975Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:f2b0cc11af3d8f24d20738bb8ecf8a3495548a86c97e2fce60ab332a9e6bc422","observation_id":"32182a2e-3beb-4506-9d3a-5dc1da8fdb02","resolution":{"observed_at":"2026-08-11T13:02:56.769098Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.750499Z","title":"Electronic density response of warm dense mat- ter,","venue":null,"work_id":"0e422dc1-d2ac-4376-8d63-6e9811f68843","year":2023},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.163983Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:ef5c92d114f4228fa01ad9808d590c665ce0ed7a2c43972507ee94e208d8b3eb","observation_id":"6de46004-110a-4635-939c-048f7ee1d564","resolution":{"observed_at":"2026-08-11T13:02:56.755359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.19113","last_updated":"2024-02-29T12:45:24Z","snapshot_observed_at":"2026-08-13T04:07:21.367433Z","submitted_at":"2024-02-29T12:45:24Z","title":"Unraveling electronic correlations in warm dense quantum plasmas","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.19113","snapshot_observed_at":"2026-08-11T13:02:55.167894Z","title":"Unraveling electronic cor- relations in warm dense quantum plasmas,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.167894Z"},"links":{"cited_paper":"/paper/2402.19113","citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:2551a7f2529c60990cc4942766af9259f4b3bd1a26c7374c4250364a2baec077","observation_id":"84897713-0eed-429d-be41-9e7c5a5d73f3","resolution":{"observed_at":"2026-08-11T13:02:55.167894Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.172865Z","title":"Thermal properties of the inhomo- geneous electron gas,","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.172865Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:adf6dcdefabeb43fc6253ecc71c52f1b5885d7caaa892aeebeeee5c49ac7c60a","observation_id":"d949ca24-adee-40e2-ad93-9e23eefe8cba","resolution":{"observed_at":"2026-08-11T13:02:55.172865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.10627","last_updated":"2024-05-17T08:42:36Z","snapshot_observed_at":"2026-08-13T00:05:16.795843Z","submitted_at":"2024-05-17T08:42:36Z","title":"First principles simulations of dense hydrogen","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.10627","snapshot_observed_at":"2026-08-11T13:02:55.177518Z","title":"First principles simulations of dense hydrogen,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.177518Z"},"links":{"cited_paper":"/paper/2405.10627","citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:7563f9ab37c60a8b4e900f14a91f1fc47109bc12002686bb16882272c64eeebf","observation_id":"fec96ea8-f605-41ea-8569-e58b523acf8f","resolution":{"observed_at":"2026-08-11T13:02:55.177518Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.717583Z","title":"The uniform electron gas,","venue":null,"work_id":"6ddeb50c-9956-4a4e-8696-b46ee170027e","year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.182942Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:7a29a4d192a1186f532cca9b4b6d1cb933a470c19e1014ab3d938ceeb1d6923b","observation_id":"f07a3475-818e-4733-aba1-64a90188fdd3","resolution":{"observed_at":"2026-08-11T13:02:56.723392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.699404Z","title":"The uniform electron gas at warm dense matter conditions,","venue":null,"work_id":"9f26e831-47fb-4386-b65b-c307d59bd8a8","year":2018},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.187349Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:9c226ad6f616e81da419466f4f2dfba31cb844ce90e0224d6ab356c27788545a","observation_id":"551496fb-979a-45ab-b673-c976f7547360","resolution":{"observed_at":"2026-08-11T13:02:56.704386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.683241Z","title":"A look at the density functional theory zoo with the ad- vanced gmtkn55 database for general main group ther- mochemistry, kinetics and noncovalent interactions,","venue":null,"work_id":"6f237dde-96af-4c3c-9dc9-9b59e9766aa7","year":2017},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.191926Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:6e047b29d0dae40a8f48bf5874e4abe1eeb0ab9ade97ded2c75471526ba36c6d","observation_id":"479a6e9a-672c-4dc7-95e3-32e6bff475dd","resolution":{"observed_at":"2026-08-11T13:02:56.689162Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.668981Z","title":"Benchmarking exchange-correlation function- als for hydrogen at high pressures using quantum monte carlo,","venue":null,"work_id":"0a1da6d3-4fe7-49c6-9f34-268aef94928c","year":2014},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.196366Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:18890abf171e915e91f58e4f5293fe6f3ac16b4f2212bc70bd3992cf948a0c0a","observation_id":"8aab4d79-679b-44be-afa4-fa3e176dc8cd","resolution":{"observed_at":"2026-08-11T13:02:56.674178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.653637Z","title":"Benchmarking density functionals for hydrogen-helium mixtures with quantum monte carlo: Energetics, pressures, and forces,","venue":null,"work_id":"38e08751-d9ce-4319-a378-0cd9e998b8d5","year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.200570Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:447eab9a8be6ce4f0ba49f79de00291a965f2552d916ffb38f214a6f06bd208e","observation_id":"9fcc8dfc-5a65-4b2e-b061-b469e124f86f","resolution":{"observed_at":"2026-08-11T13:02:56.658618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.206024Z","title":"Path integrals in the theory of con- densed helium,","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.206024Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:c3b770cb6104355e96dc31a78aed676439d1aa3aecd119a436048437486d788f","observation_id":"9068fcb5-1e53-45aa-8b4b-fc0e6d013160","resolution":{"observed_at":"2026-08-11T13:02:55.206024Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.628293Z","title":"Ab initio thermodynamic results for the degenerate electron gas at finite temperature,","venue":null,"work_id":"3b6fd3f9-4324-4f28-aa26-faf91f948dda","year":2015},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.210163Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:7fe4d3527271b7a8a96eb4a889f5410b56e7bf54049f8d272512de7b7f8ba275","observation_id":"e2ecee9d-bc34-43ee-8608-88821066b4b0","resolution":{"observed_at":"2026-08-11T13:02:56.633726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.214397Z","title":"Accurate exchange-correlation en- ergies for the warm dense electron gas,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.214397Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:1358dc91dad6ee11485a8d41b9dfa0019ab6c80befcb041f98c72c06a8b60f19","observation_id":"9d4f1c83-7862-48bf-b54e-c4196592bb28","resolution":{"observed_at":"2026-08-11T13:02:55.214397Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.600212Z","title":"A phaseless auxiliary-field quantum monte carlo perspective on the uniform electron gas at finite tem- peratures: Issues, observations, and benchmark study,","venue":null,"work_id":"de5b67ee-05a8-47ba-aee2-6f9a52c4f90d","year":2021},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.219083Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:21c7b9246c06d8bfa08206d2ade16db675d8adaa3be317d34811eb410fa4b516","observation_id":"35fb1f55-642f-40ab-949c-a21183291850","resolution":{"observed_at":"2026-08-11T13:02:56.605268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.223403Z","title":"Gradient cor- rections to the exchange-correlation free energy,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.223403Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:c09c5f89e4406bbf6772b0e4408c6386778ee58a269bcc36d68ca87bce93548d","observation_id":"8c1731f5-5f34-4386-b924-e9f641c0b5d7","resolution":{"observed_at":"2026-08-11T13:02:55.223403Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.227426Z","title":"Accurate homogeneous electron gas exchange-correlation free energy for local spin-density calculations,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.227426Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:03a27578223aeb76935c40f5f323adf36e67e2f545d39965a4a4da346334f057","observation_id":"c88f2024-710c-4471-8d6c-19666028ec32","resolution":{"observed_at":"2026-08-11T13:02:55.227426Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.559776Z","title":"Ab initio exchange– correlation free energy of the uniform electron gas at warm dense matter conditions,","venue":null,"work_id":"dad0cbf5-d716-41b3-98b9-7f0ba9d732bc","year":2017},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.231778Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:a4d1b59e007167176d4b45dc6fd223204d5e9302eb4cbde4c7b441db7909cd72","observation_id":"ab03c284-ae70-4a49-9286-4e9cb1e75494","resolution":{"observed_at":"2026-08-11T13:02:56.564888Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.236101Z","title":"Nonempirical semilocal free-energy density functional for matter under extreme conditions,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.236101Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:a85922f33863d0ae0cf9e49cd8b38bcbea99e958f1177df76c496bd7bcbdd692","observation_id":"fbf12395-930d-49d9-9f06-8b4a5e0a8804","resolution":{"observed_at":"2026-08-11T13:02:55.236101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.241167Z","title":"Meta-gga exchange-correlation free energy density functional to increase the accuracy of warm dense mat- ter simulations,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.241167Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:c50eafa0e2029146545066fa0737937911512209dcc9c6f032a7ed6440d8e626","observation_id":"5e8a11d7-86fd-40c2-abb6-8c6e70dad36a","resolution":{"observed_at":"2026-08-11T13:02:55.241167Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.03319","last_updated":"2023-08-15T18:30:36Z","snapshot_observed_at":"2026-08-13T10:39:41.041099Z","submitted_at":"2023-08-07T06:06:29Z","title":"Generalized Gradient Approximation Made Thermal","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.03319","snapshot_observed_at":"2026-08-11T13:02:55.245742Z","title":"Generalized gradient approximation made thermal,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.245742Z"},"links":{"cited_paper":"/paper/2308.03319","citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:fbe74a6c223c3fb69763c0751a62484014d85feb5028c4d22c8a2fa7e818d598","observation_id":"d6744ad6-83be-415c-98b5-96e0fdb42ba9","resolution":{"observed_at":"2026-08-11T13:02:55.245742Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.517178Z","title":"The rel- evance of electronic perturbations in the warm dense electron gas,","venue":null,"work_id":"4ac54b79-1f77-4f13-b495-2db11a98f8ef","year":2021},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.250391Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:4b7794757ceea84a70d4d110f9a41818f1389cdd1964f50883a44f6a95ceaf60","observation_id":"3db2d5d6-7fe5-4c86-830a-3136ed470cd0","resolution":{"observed_at":"2026-08-11T13:02:56.523762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.499754Z","title":"Bound-state breaking and the importance of thermal exchange–correlation effects in warm dense hydrogen,","venue":null,"work_id":"97e8950d-2501-4b50-9e37-2bd94a1ae302","year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.255174Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:de97320fe6d4b6277524546088d3179d47ea5d844d5127471a21f07d6613de75","observation_id":"f4f2588d-cb11-4a17-86eb-864d18408d2c","resolution":{"observed_at":"2026-08-11T13:02:56.505642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.01044","last_updated":"2024-07-01T07:54:29Z","snapshot_observed_at":"2026-08-15T00:38:26.880283Z","submitted_at":"2024-07-01T07:54:29Z","title":"Direct free energy calculation from ab initio path integral Monte Carlo simulations of warm dense matter","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.01044","snapshot_observed_at":"2026-08-11T13:02:55.261255Z","title":"Direct free energy cal- culation from ab initio path integral monte carlo simula- 18 tions of warm dense matter,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.261255Z"},"links":{"cited_paper":"/paper/2407.01044","citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:7453cc85ae576e6aeedc92edafd2de543e664a1d95e8ad8736779999d8696a76","observation_id":"d14b7532-b4c3-4679-9035-d75531359fb2","resolution":{"observed_at":"2026-08-11T13:02:55.261255Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.266653Z","title":"Fermion sign problem in path inte- gral Monte Carlo simulations: Quantum dots, ultracold atoms, and warm dense matter,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.266653Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:79e5592e7001e7f16a1feba3ced043bf04ee1338a536e93065f0c92eece2f659","observation_id":"090b86e7-da03-40f6-b2a8-c87e86d023ae","resolution":{"observed_at":"2026-08-11T13:02:55.266653Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.275673Z","title":"Computational complex- ity and fundamental limitations to fermionic quantum Monte Carlo simulations,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.275673Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:4cc33184ca699580f0e916c09f46174f51e9696e6902be06fb1a7a5eaf1ba20f","observation_id":"32d97073-e3f8-42a0-b695-06d43a85f42d","resolution":{"observed_at":"2026-08-11T13:02:55.275673Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.456313Z","title":"Exchange–correlation entropy from the generalized thermal adiabatic connection,","venue":null,"work_id":"d83880e9-dc33-4a46-aa04-502d71c98d20","year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.282322Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:987259bfa4d011cca27f9ef3ca4377f3728e349428e66302f1b8b48177b2effd","observation_id":"9d05ac65-3dd7-4105-947f-63b9c75dfb68","resolution":{"observed_at":"2026-08-11T13:02:56.461359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.287738Z","title":"Strongly coupled electron liquid: Ab initio path integral monte carlo simulations and di- electric theories,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.287738Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:27b88a0d66d5136cd60f4d33fcf0fdd97ac12510b15f5a1a471f2173560b05ef","observation_id":"c57e9150-ba03-4a7a-bcf6-a60377cd01a5","resolution":{"observed_at":"2026-08-11T13:02:55.287738Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.292838Z","title":"Inte- gral equation theory based dielectric scheme for strongly coupled electron liquids,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.292838Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:4bb7839df6368de73f9a1282ce34194be731154e60d14fac3d3459ade7f137d5","observation_id":"796e6213-0917-4877-aa4c-de819b0dff55","resolution":{"observed_at":"2026-08-11T13:02:55.292838Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.301827Z","title":"Clas- sical bridge functions in classical and quantum plasma liquids,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.301827Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:36d76a5a3de829bd6127fdab771a0bf58241ae9a922b68e0f28c91f05752bc78","observation_id":"e96f1ba5-c71b-4c32-abe3-dfa3ceaedcd2","resolution":{"observed_at":"2026-08-11T13:02:55.301827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.308821Z","title":"Quantum version of the integral equation theory-based dielectric scheme for strongly coupled elec- tron liquids,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.308821Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:2b6135bbe0f59cedf0904e4ffea6b7484670a0be8ee6ca01f4567b2a4990b8d0","observation_id":"9b77990c-49d9-45a8-9c6c-d5a816421fe3","resolution":{"observed_at":"2026-08-11T13:02:55.308821Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.387806Z","title":"Effective electronic forces and potentials from ab initio path in- tegral monte carlo simulations,","venue":null,"work_id":"f4230b8d-09d5-4eaa-8e9c-d68695efdce3","year":2022},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.314251Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:6a03b8dd9b128ba40f92f99e25614b21ce749ccadbb298bb5ca61c78498ff9e9","observation_id":"6f5c3e1f-8c92-4433-b632-17590d495d06","resolution":{"observed_at":"2026-08-11T13:02:56.393293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.371604Z","title":"Correlational and thermodynamic prop- erties of finite-temperature electron liquids in the hypernetted-chain approximation,","venue":null,"work_id":"275dd9fe-e8f7-455c-8805-1c38a2fa77b6","year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.319432Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:545e8a691cb05c37c3422bfaa7dac3ceed0e3834778c8d15fa18c1d3d539a7a0","observation_id":"4afcb5a5-4423-466f-9c2d-1f5d5d2b3dd1","resolution":{"observed_at":"2026-08-11T13:02:56.377502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.353066Z","title":"Improved equation of state for finite- temperature spin-polarized electron liquids on the basis of singwi–tosi–land–sj¨ olander approximation,","venue":null,"work_id":"5f130bcf-7c29-488f-be55-a4452c51304d","year":2017},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.324890Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:723858b5d45006af0e755db06659a2def79243af895282f719f0210eb3f07cf3","observation_id":"973bb1a0-d9b8-46ec-b2f2-577409021854","resolution":{"observed_at":"2026-08-11T13:02:56.359228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.330000Z","title":"Revisiting the vashishta-singwi dielectric scheme for the warm dense uniform electron fluid,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.330000Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:6f246acc788eec1f90fc8b90d478485d49cfc1c384a1ea9b056b43a69dd01801","observation_id":"0cb816aa-e0fb-4146-968f-d48bdce68e23","resolution":{"observed_at":"2026-08-11T13:02:55.330000Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.313654Z","title":"Ab initio density response and lo- cal field factor of warm dense hydrogen,","venue":null,"work_id":"bbf90317-52f1-42be-bc8e-e36b754738d5","year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.334765Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:8cafdd3f5d0102f3418b948a980734b1d2e1bdd25afd7a05e17c1c38213e0a22","observation_id":"f4e26392-4bd2-4594-86a5-653c1b9e740b","resolution":{"observed_at":"2026-08-11T13:02:56.320228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.340736Z","title":"Path integral monte carlo simulation of the low-density hydrogen plasma,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.340736Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:e17fd07d8051ea359d198457c2f40edb27543eaf7482aa6cdcd8a68b7dbd627d","observation_id":"cb27c164-ac23-41f8-acae-f8a7d01d1892","resolution":{"observed_at":"2026-08-11T13:02:55.340736Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.345812Z","title":"Ab initio path integral Monte Carlo simulations of warm dense two-component systems without fixed nodes: Structural properties,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.345812Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:72193cff5526d721e2b2dfce657d996718fd092df121deb0a7c8406001915ed1","observation_id":"1fcb4497-4df7-4916-be0c-5861dc335f46","resolution":{"observed_at":"2026-08-11T13:02:55.345812Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.08591","last_updated":"2025-04-06T11:16:56Z","snapshot_observed_at":"2026-08-12T22:45:44.225602Z","submitted_at":"2024-09-13T07:14:04Z","title":"Model-free Rayleigh weight from x-ray Thomson scattering measurements","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.08591","snapshot_observed_at":"2026-08-11T13:02:55.350697Z","title":"Model-free rayleigh weight from x-ray thomson scattering measurements,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.350697Z"},"links":{"cited_paper":"/paper/2409.08591","citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:1458f8b47b31652e2ff7e100e78d297d758c813efd271ee8c988ecdfe63cc767","observation_id":"d8beaf72-61fa-4e5a-adc9-bc4a0a352325","resolution":{"observed_at":"2026-08-11T13:02:55.350697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.355907Z","title":"Collective and single-particle excitations in two-dimensional dipolar bose gases,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.355907Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:2c1fbea14a9dc366a754d31c62f9f5bf2bb7c4a036f26c60577bc50b27e71a29","observation_id":"7d2fc488-e44f-44f4-adf9-572b6eaa34b7","resolution":{"observed_at":"2026-08-11T13:02:55.355907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.262169Z","title":"Finite- size effects and coulomb interactions in quantum monte carlo calculations for homogeneous systems with peri- odic boundary conditions,","venue":null,"work_id":"93687b75-213a-4ebc-8e0c-0e889cae5d3e","year":1996},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.360608Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:bd87600c2edb83bf195c67ef696cb89303358a63248be02b641398dec22fedc2","observation_id":"68dc543e-5448-4b69-b67a-72ed8162fbb2","resolution":{"observed_at":"2026-08-11T13:02:56.268032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.364823Z","title":"Emergence of an excitonic collec- tive mode in the dilute electron gas,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.364823Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:dbdb15cacf54dd7be4b2da9f52c6b9e59e02a443e494921bc8b0d5180b19fc8b","observation_id":"3807568a-02c3-45c8-911f-4fdbf992796b","resolution":{"observed_at":"2026-08-11T13:02:55.364823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.234205Z","title":"Ab initio path integral Monte Carlo results for the dy- namic structure factor of correlated electrons: From the electron liquid to warm dense matter,","venue":null,"work_id":"291f7c96-cdc3-4c9e-9daf-e95cbf7ddd8a","year":2018},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.370446Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:24bff1e40f6af541b79ddee26d5bfd741f60ebaf6beee7102d38da88f039d4f6","observation_id":"d050e3f8-44af-4f5a-bead-a1f0b2cb31a2","resolution":{"observed_at":"2026-08-11T13:02:56.240051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.219241Z","title":"s- and p-wave pairings in the di- lute electron gas: Superconductivity mediated by the coulomb hole in the vicinity of the wigner-crystal phase,","venue":null,"work_id":"679ade6a-0de2-4d83-80bc-ea7107639c34","year":1993},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.376616Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:b9dad7edf8fc706f8dd3ac8f183b16085b48f34c41f1b2e4a538a12afdc62619","observation_id":"72fb4a22-d08f-477a-b585-5ce1db261c44","resolution":{"observed_at":"2026-08-11T13:02:56.224085Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.201694Z","title":"Low-energy peak in the one-particle spectral function of the electron gas at metallic densi- ties,","venue":null,"work_id":"5fce0e94-360d-4dea-9ff1-311178b6f600","year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.381662Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:2d64d508c5770bacc0d66fd9ad7f063c102f070bfaed8d716bcb71ef50563d31","observation_id":"552f0fb8-aa69-4979-882f-631c47d94b05","resolution":{"observed_at":"2026-08-11T13:02:56.209274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.386044Z","title":"Electronic pair alignment and roton feature in the warm dense electron gas,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.386044Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:ad3a8a5d28dc9c78439e979ad6eafa112648efc22dee592568cba96fa6e4215c","observation_id":"780a888f-b348-4145-aaf5-bc96563e9136","resolution":{"observed_at":"2026-08-11T13:02:55.386044Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.00474","last_updated":"2023-01-01T21:23:37Z","snapshot_observed_at":"2026-08-14T22:52:32.679054Z","submitted_at":"2023-01-01T21:23:37Z","title":"Short-range excitonic phenomena in low-density metals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.00474","snapshot_observed_at":"2026-08-11T13:02:55.390778Z","title":"Short-range excitonic phenomena in low-density met- als,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.390778Z"},"links":{"cited_paper":"/paper/2301.00474","citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:f578ceab437a91ba30ed15da80a870993e78da7832862927a899e54bab9b4b89","observation_id":"e9bb1cec-e502-4078-892d-fbb1a0b5716c","resolution":{"observed_at":"2026-08-11T13:02:55.390778Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.178289Z","title":"On the interaction of electrons in metals,","venue":null,"work_id":"a1b30d2b-6c1e-41ea-8fd7-a084017bdf7c","year":1934},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.396949Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:ccbab349bf6914c03d3013618d8015828b98037a3f2edec003e2cf7739578dde","observation_id":"6eaa830d-82a0-4d19-b6b1-915cd912f896","resolution":{"observed_at":"2026-08-11T13:02:56.182919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.163859Z","title":"Diffusion quantum monte carlo study of three-dimensional wigner crystals,","venue":null,"work_id":"7c7ccc72-36af-45a6-b300-a747fc893be3","year":2004},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.401681Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:dc8d15536a279ce2e8ec2117644e858e457af25f1d07a57b72e311aeb63d0c94","observation_id":"16cb5b1c-1518-43f6-8557-373610950445","resolution":{"observed_at":"2026-08-11T13:02:56.168533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.150330Z","title":"Itinerant- electron magnetism: The importance of many-body cor- relations,","venue":null,"work_id":"ba3eff0c-79c6-4784-8d56-40d15a91b15f","year":2020},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.406776Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:d2ca49275c30fa843461383374372e2e71d6be78e7fcb162588eeae6c2ae4f6e","observation_id":"2696bb10-13dd-4f05-bdb7-1a3f14f93f02","resolution":{"observed_at":"2026-08-11T13:02:56.155185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.136359Z","title":"Low-density phase diagram of the three-dimensional electron gas,","venue":null,"work_id":"b62f7c88-239d-4040-a691-52567ca07461","year":2022},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.411027Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:a058ca7c3aa3f5a6211cbc5aadb610e8018aa375b06ec9c32a8beeab191da85c","observation_id":"fc209132-b30d-454a-8907-a3b88f3d1f4d","resolution":{"observed_at":"2026-08-11T13:02:56.141474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.416013Z","title":"Path-Integral Calculation of the Two-Particle Slater Sum for He 4,","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.416013Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:24efc173086ef31a5216f41fd54f9009e66bfce718853d4554eb88e03cd13111","observation_id":"bf74eed1-a897-41a4-a438-47b401e6870d","resolution":{"observed_at":"2026-08-11T13:02:55.416013Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.112183Z","title":"Three-particle effects in the pair distribution function for he 4 gas,","venue":null,"work_id":"c7649626-84a9-46a3-a822-5955a0a3dbc6","year":1968},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.420682Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:b68448299b080547cd24087a865027bb5f7cbd99528415168e61064d11b50f4a","observation_id":"ba5a242d-80a6-488d-bf6c-73f330d938ea","resolution":{"observed_at":"2026-08-11T13:02:56.116721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.096292Z","title":"Equation of state calculations by fast comput- ing machines,","venue":null,"work_id":"a00dc07b-a378-4a1c-a36f-3feb84ccd3f8","year":1953},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.427527Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:f1b2548eaaf5991c1806cba6fbf058abdab0e828975366308b26ec77c029b696","observation_id":"b905a9d4-7117-451e-b7f7-8954a5cd688e","resolution":{"observed_at":"2026-08-11T13:02:56.102095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.079507Z","title":"Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulations,","venue":null,"work_id":"97dae768-a09d-4284-b82a-678d6a37db61","year":2006},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.434741Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:e86f3541ee0a74287b224167e152f2b60c3c8caa588fa2c1a61e58a4021aca24","observation_id":"22f04488-b2b1-4972-91f9-c6b81a97684f","resolution":{"observed_at":"2026-08-11T13:02:56.084351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.443185Z","title":"Worm algorithm for continuous-space path integral Monte Carlo simulations,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.443185Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:21b53d9d1a050647acc34399f4b8c7634a8b7acc7fcd4a98a226aca1b62c73ad","observation_id":"0fbaaef2-622d-43bd-bb02-4ed8c58cd1d4","resolution":{"observed_at":"2026-08-11T13:02:55.443185Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.056379Z","title":"Structure, superflu- idity, and quantum melting of hydrogen clusters,","venue":null,"work_id":"f06d0f10-d6e3-4c89-a22f-c13ad0163fb9","year":2007},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.453085Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:2bb19d66f177befeeee5140537727bf2cf83a0ff04a799718fe5798c6527b259","observation_id":"e336b57f-407f-4ff8-9a8c-9aa29668db42","resolution":{"observed_at":"2026-08-11T13:02:56.060720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.040759Z","title":"Ab initio path integral monte carlo approach to the momentum distribution of the uni- form electron gas at finite temperature without fixed nodes,","venue":null,"work_id":"72a05000-a611-40f5-8572-422c6444f82a","year":2021},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.458399Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:9aed7ea6737bf793e080ebfc6742905b2e942436d278d62e8cbc9103eb88307e","observation_id":"dd2e6752-62a3-4ce5-9913-9c8885434b7c","resolution":{"observed_at":"2026-08-11T13:02:56.046736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.027858Z","title":"Fermion sign problem in path in- tegral monte carlo simulations: grand-canonical ensem- ble,","venue":null,"work_id":"cc769c12-0898-44f0-a469-5dda21ed2c9e","year":2021},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.462916Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:b831bebaf27a1b11894b3ca8157a4aecbc305e6b41ae32559680a413e0e7e92a","observation_id":"671019f3-96c5-47a2-b861-9dd8af2eb26d","resolution":{"observed_at":"2026-08-11T13:02:56.032108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:56.011287Z","title":"Canonical parti- tion functions: ideal quantum gases, interacting classi- cal gases, and interacting quantum gases,","venue":null,"work_id":"c77c49cd-fb0e-49da-9251-5be51b98a4a6","year":2018},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.468604Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:1bea0e3d435f61d5ffee5d1d739d30ab6ef3216370d219e6e4828d2039d33b34","observation_id":"dba4b70d-3154-46ae-bd1a-5b37ee4d9ae3","resolution":{"observed_at":"2026-08-11T13:02:56.016793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.474523Z","title":"ISHTAR - Imaginary-time Stochastic High- performance Tool for Ab initio Research,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.474523Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:9b04305d689714d385f73b3515eed79b4430c0080e3c83272d4292498235b5ba","observation_id":"6e991ff2-d912-4b9d-bc46-c27fa08578e5","resolution":{"observed_at":"2026-08-11T13:02:55.474523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.988594Z","title":"New approach to Monte Carlo calculation of the free energy: Method of expanded ensembles,","venue":null,"work_id":"88b26cd2-1296-4743-8133-e653e11626ce","year":1992},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.479300Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:d953257c91ea9d2cc75504ef7657b78dff9c213437c0e2a72e8e1c2699138463","observation_id":"e36e81e8-7589-4bae-8175-4e8204b7ccb2","resolution":{"observed_at":"2026-08-11T13:02:55.993766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.489767Z","title":"Theory of noninteracting fermions and bosons in the canonical ensemble,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.489767Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:92a2a5b63a0d291db8fc6579e71a527953add475a85885f8acafe54e6ca53189","observation_id":"6e4d8f4b-c304-45cb-ae6d-bb78107304d0","resolution":{"observed_at":"2026-08-11T13:02:55.489767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.495822Z","title":"Krauth, Statistical Mechanics: Algorithms and Computations, Oxford Master Series in Physics (Oxford University Press, UK, 2006)","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.495822Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:bd7cf1e2233348cd9fd8c1963617ab13b8ba349ffa7eb455693a513cc00f02e8","observation_id":"7d1ed2b1-80a7-4d9c-8503-a94077c9ae17","resolution":{"observed_at":"2026-08-11T13:02:55.495822Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.947137Z","title":"Path integral monte carlo simulation of degener- ate electrons: Permutation-cycle properties,","venue":null,"work_id":"694d233f-e7c7-49ba-9c95-faa99721ce53","year":2019},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.500449Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:fbbbf12eb2378930b5fb86b41832b5c96f7802210e149e2655471cd67c4b106a","observation_id":"bde8275c-d6de-43ff-8d01-ac87124aca98","resolution":{"observed_at":"2026-08-11T13:02:55.953068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.929108Z","title":null,"venue":null,"work_id":"2f31677b-20eb-485e-bd2b-8d949fe098fd","year":null},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.505406Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:d6002a9025a06348c741b4fc252edb97e0e07c5a179df600e08a05a25e238426","observation_id":"b2b2fcc4-4c31-44ea-ba7d-1c75cfcbb05b","resolution":{"observed_at":"2026-08-11T13:02:55.935635Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.510847Z","title":"Statistical physics of dense plasmas: Thermo- dynamics, transport coefficients and dynamic correla- tions,","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.510847Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:b26b302cf003b1a33de24adc5a2b9a1d85bd8eeff0858ad5620e97cede260953","observation_id":"9fa4b539-7027-4f54-a994-49c81993b303","resolution":{"observed_at":"2026-08-11T13:02:55.510847Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.904138Z","title":"Overcoming the fermion sign problem in ho- mogeneous systems,","venue":null,"work_id":"a17431a9-3bac-489f-b86c-537d842d27c0","year":null},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.519300Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:2a04069d3d66283a4c48c8ecd2d7a4f402e4c72131c681caf7a8f6de2cfef166","observation_id":"b8f77108-6600-4ec1-bcfc-6d7547af948d","resolution":{"observed_at":"2026-08-11T13:02:55.909243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.883799Z","title":"Ab initio quan- tum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit,","venue":null,"work_id":"b121adbc-9976-487a-a3b2-e21d6988c75e","year":2016},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.524900Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:c57c828cf49fdae52d233d4c5fa3a668c575c5103b9fc1c7f74d44aeb8cc91fe","observation_id":"be0d3224-92c9-441b-93dc-9130d60ee51f","resolution":{"observed_at":"2026-08-11T13:02:55.889687Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.531234Z","title":"Overcoming finite-size effects in electronic structure simulations at extreme conditions,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.531234Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:cb3cb640bf4dcfd0e0aa408ee2a78cd2c649d2d1b2ba70a4abbca9d75db750f8","observation_id":"36d120c4-6e58-465a-afd7-72385abf33e3","resolution":{"observed_at":"2026-08-11T13:02:55.531234Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.847024Z","title":"Finite-size errors in continuum quantum monte carlo calculations,","venue":null,"work_id":"92d7a822-09fb-4786-9c99-3aae5c0b1dc4","year":2008},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.538001Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:736ca213f9d205758d4a80524f32f3bf49114642e8357c016f8f83a8f7c09ad9","observation_id":"9ebd5f91-2ac2-4000-ac5d-9b4713ee6366","resolution":{"observed_at":"2026-08-11T13:02:55.853396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:55.831089Z","title":"Path-integral monte carlo sim- ulation of the warm dense homogeneous electron gas,","venue":null,"work_id":"1245c10b-ae70-4a2d-9709-381e36ba84bb","year":2013},"citing_paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:55.543524Z"},"links":{"citing_paper":"/paper/2412.13596"},"observation_digest":"sha256:fc94e3635e2f598a50e56163f8f2a3b2eac69a3370e394edcd1b7653ec77f75f","observation_id":"391d83a8-7cc5-4d95-a5ec-0168b35da28c","resolution":{"observed_at":"2026-08-11T13:02:55.836295Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.13596","last_updated":"2024-12-18T08:20:30Z","latest_version":1,"primary_category":"physics.chem-ph","snapshot_observed_at":"2026-08-11T12:56:21.404981Z","submitted_at":"2024-12-18T08:20:30Z","title":"{\\eta}-ensemble path integral Monte Carlo approach to the free energy of the warm dense electron gas and the uniform electron liquid"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":60,"verified_exact":0,"verified_fuzzy":40},"total_outbound_references":106},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 100 of 106 outbound references and 2 inbound Pith citation observations for arXiv:2412.13596."}