{"as_of":"2026-08-18T01:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dd0b568b89a2357fb163e6a2a1f3d927b07c74bf34d6777f17a1d4d7cff489d3","coverage":[{"denominator":55,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":55,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T22:42:06.721911Z","state":"measured"},{"denominator":55,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":55,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2602.16457/citation-record","integrity":"/paper/2602.16457/integrity","json":"/paper/2602.16457/citation-record.json","paper":"/paper/2602.16457"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T22:42:00.482354Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.482354Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:c2f09ca256120b550109a6bc8e02283f8103d954457239c25259ef96db8bd15a","observation_id":"95e84db4-b8e9-40d2-8202-4f3c4423d25a","resolution":{"observed_at":"2026-08-02T22:42:00.482354Z","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":"2026-08-02T22:42:00.561184Z","title":"An introduction to the topological derivative","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.561184Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:d88aed94824a642b15888e8b5e24d40b8e76b9261ffe65875683151886494585","observation_id":"48acea4e-62f9-4582-b7d6-5e55b1144d85","resolution":{"observed_at":"2026-08-02T22:42:00.561184Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-02T22:42:00.626450Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.626450Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:302a21db036cf85e11c07f4d81ac0012175672dbaeaf7fa75c505a4111dce10c","observation_id":"2064cf34-3aa2-43c7-a69a-e5e8bd0483de","resolution":{"observed_at":"2026-08-02T22:42:00.626450Z","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":"2026-08-02T22:42:00.700061Z","title":"Recent Developments on Hamilton’s Ricci flow","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.700061Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:e34270da3768cb0e15cd8fc7965700f047a1089f16e58d6b6fec8c978dd43800","observation_id":"2ee0bcd9-b6f7-4ce6-9501-a8b1748a30d3","resolution":{"observed_at":"2026-08-02T22:42:00.700061Z","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":"2026-08-02T22:42:00.770411Z","title":"Cartan,Sur les ´ equations de la gravitation d’Einstein, Journal de Math´ ematiques Pures et Appliqu´ ees, S´ erie 9, Tome 1 (1922), 141–203","venue":null,"work_id":null,"year":1922},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.770411Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:b73f6b5a45aeb35155e50d717b7c1b9068c9b310fec3288e652b53375098d08d","observation_id":"80953942-fb51-414f-bebe-99155fe8b744","resolution":{"observed_at":"2026-08-02T22:42:00.770411Z","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":"10.1063/1.4890555","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"First-order equivalent to Einstein-Hilbert Lagrangian,","venue":"Journal of Mathematical Physics","work_id":"a8d4664b-b02a-4708-8cb1-39aa30d7eebb","year":2014},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.786425Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:90f365992b1cdfc7f4de3425c0083587e5373490927b2b7fed8c52de4c427016","observation_id":"b9c699a7-4c47-4325-8cca-b64837caf5d6","resolution":{"observed_at":"2026-08-02T22:44:06.107348Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-02T22:42:00.802448Z","title":"A Simple Intrinsic Proof of the Gauss–Bonnet Formula for Closed Riemannian Manifolds,","venue":null,"work_id":null,"year":1944},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.802448Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:7f7fcc3059e449dc25c3c13bd332818aa19bc816a4861caa78fce491b8e976ca","observation_id":"e08e6427-b5d5-47d0-9f89-b61ceefc346b","resolution":{"observed_at":"2026-08-02T22:42:00.802448Z","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":"2026-08-02T22:42:00.847260Z","title":"Christodoulou,The Action Principle and Partial Differential Equations, Princeton University Press (2000)","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.847260Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:a4a54f0487990f8d85a7bba33391a25b38787c56107f3ccd4055b4514c80e33f","observation_id":"d12349c7-22d6-497a-9474-9b9c46333191","resolution":{"observed_at":"2026-08-02T22:42:00.847260Z","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":"2026-08-02T22:42:00.914740Z","title":"On the conformal scalar curvature equation and related problems","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.914740Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:de1da3eda60bfefa610962b815c77b3ff7c33eeefc75cf5094e9d321f654a720","observation_id":"295693d3-ec11-49ed-a9bf-2c5925583b5a","resolution":{"observed_at":"2026-08-02T22:42:00.914740Z","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":"2026-08-02T22:42:00.956571Z","title":"Black holes as red herrings: Topological fluctuations and the loss of quantum coherence,","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:00.956571Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:82588eb1df77626a2aa4ccbed9884c7d5dd57b9851d55812dd376ac0d780feb6","observation_id":"61c933c2-8325-4b4b-ba9c-d41e2c648bb0","resolution":{"observed_at":"2026-08-02T22:42:00.956571Z","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":"2026-08-02T22:42:01.024927Z","title":"Elliptic equations of Yamabe type","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.024927Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:74131f8ab791bc7f6a5130d479db0faef3ee949fc4681c2520476f2a7d6ec957","observation_id":"4ba1b3fe-9583-4f6b-af25-30078bed37a8","resolution":{"observed_at":"2026-08-02T22:42:01.024927Z","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":"2026-08-02T22:42:01.083712Z","title":"D¨ utsch,From Classical Field Theory to Perturbative Quantum Field Theory, Progress in Mathematical Physics, vol","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.083712Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:894be662d86c0e2d285dc0e20c5da154035c4d46220c72c85d5a2e7929bdffc6","observation_id":"710c32ca-b971-4bdf-8f76-4c74da28f1ed","resolution":{"observed_at":"2026-08-02T22:42:01.083712Z","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":"2026-08-02T22:42:01.145827Z","title":"The manifold of Riemannian metrics,","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.145827Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:d3fb700bd508dff592ab7430fe5f8d5094b7ecc5accdbc01d5a13bd79cba8c4d","observation_id":"e64c982e-baa7-4330-8c9f-d624e46cc899","resolution":{"observed_at":"2026-08-02T22:42:01.145827Z","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":"2026-08-02T22:42:01.207196Z","title":"Einstein,Die Feldgleichungen der Gravitation, Sitzungsberichte der K¨ oniglich Preussischen Akademie der Wissenschaften (1915), 844–847","venue":null,"work_id":null,"year":1915},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.207196Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:2b6b6d97a1b1d287dc43d2a73e979b9f71810925d7c63165a05368bca3f75139","observation_id":"b30ee2d0-9a4e-4394-babf-888e8c642c4f","resolution":{"observed_at":"2026-08-02T22:42:01.207196Z","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":"2026-08-02T22:42:01.252689Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.252689Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:7347e805b8a59db49593584e7bcb01c0196a5366bf23d0c328bed151c2a06468","observation_id":"d452b916-e79f-49e7-a4a7-72b231cde00e","resolution":{"observed_at":"2026-08-02T22:42:01.252689Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1708.04489","last_updated":"2018-07-24T14:53:41Z","snapshot_observed_at":"2026-08-17T21:04:08.394986Z","submitted_at":"2017-08-14T04:21:51Z","title":"The Weiss Variation of the Gravitational Action","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1708.04489","snapshot_observed_at":"2026-08-02T22:42:01.304120Z","title":"The Weiss Variation of the Gravitational Action,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.304120Z"},"links":{"cited_paper":"/paper/1708.04489","citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:a6ff892fb2ff0d692c4b0ae622eafbe83fc1a9fd9e432ac6158bb5dd4bcbc5d3","observation_id":"05a7122b-ccd1-4682-9d4f-9a9fd509a12d","resolution":{"observed_at":"2026-08-02T22:42:01.304120Z","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":"2026-08-02T22:42:01.316026Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.316026Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:bfdce0eccfc159355ea7eb61c8a642c9c66521912db0a101c0f030ed2cb8cb30","observation_id":"e32ee7ab-01c8-4513-92f7-9d00e403567b","resolution":{"observed_at":"2026-08-02T22:42:01.316026Z","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":"2026-08-02T22:42:01.376643Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.376643Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:6b702ab063ba3d223e2d2220da84c393c543b2382363ed23a38385cb785edac1","observation_id":"ae472907-f90d-4a95-9cce-fa953fda5221","resolution":{"observed_at":"2026-08-02T22:42:01.376643Z","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":"2026-08-02T22:42:01.457457Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.457457Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:f79c6e9017576d5fea8437871701996941869be5fbfbe5ea56d93b7de96ffec8","observation_id":"6cb424c1-ff4e-4208-8871-45906740313e","resolution":{"observed_at":"2026-08-02T22:42:01.457457Z","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":"2026-08-02T22:42:01.535748Z","title":"Loss of incoherence and determination of coupling constants in quantum gravity,","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.535748Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:17887d49dbe3dedcc93f9e08f4968d2fb40a71c28b244ff2e1a7220017b6abab","observation_id":"4ea7e8f8-0e00-4c61-b15d-1587f204f235","resolution":{"observed_at":"2026-08-02T22:42:01.535748Z","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":"2026-08-02T22:42:01.644154Z","title":"Gilbarg and N","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.644154Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:703381b71be120cc25624b5b1606b2823fec8b1cfb6c903b8f84362c16668e3b","observation_id":"4d2aef5e-16c9-4ee7-a99a-93484df5d239","resolution":{"observed_at":"2026-08-02T22:42:01.644154Z","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":"2026-08-02T22:42:01.712709Z","title":"Dynamical and Hamiltonian Formulation of General Relativity","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.712709Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:3dffc3415a9d8f12d0ed76ea3cc6946ac098e351430a2b299b53feebf7a42a45","observation_id":"0ff60db6-9dc1-4414-b5fa-ef5dcf2857bd","resolution":{"observed_at":"2026-08-02T22:42:01.712709Z","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":"2026-08-02T22:42:01.819412Z","title":"Quantum gravity at two loops,","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.819412Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:1af16a9ce917c9bf393135574661187829fed3189a8754f8c5a158eb1e006cd0","observation_id":"3bb03c76-86cf-44bd-a3e5-d42d09e9953c","resolution":{"observed_at":"2026-08-02T22:42:01.819412Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"physics/9801019","last_updated":"2004-08-19T10:34:20Z","snapshot_observed_at":"2026-07-07T06:58:38.987532Z","submitted_at":"1998-01-16T12:09:17Z","title":"Momentum Maps and Classical Relativistic Fields. Part I: Covariant Field Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"physics/9801019","snapshot_observed_at":"2026-08-02T22:42:01.937318Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:01.937318Z"},"links":{"cited_paper":"/paper/physics/9801019","citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:8fbca401b02b2a3bca6708a09495a965c6c602ad544dc3f95190639ba65f11b0","observation_id":"9c25faf7-bdea-4b7e-ae9f-99155346e7de","resolution":{"observed_at":"2026-08-02T22:42:01.937318Z","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":"2026-08-02T22:42:02.062583Z","title":"Space-time foam,","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:02.062583Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:371a297097549608075634d2f23243cc82093c9ef27270063cfc6d4046266848","observation_id":"df5e1222-0337-4fe1-bcb1-83038afdf014","resolution":{"observed_at":"2026-08-02T22:42:02.062583Z","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":"2026-08-02T22:42:02.180489Z","title":"The Unpredictability of Quantum Gravity,","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:02.180489Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:f1b0f0f789daf9f5812de3ef99e2d2189239b4eaa24a2323738a60d904b23a99","observation_id":"e4a3be01-ab10-4e20-aa7b-48e84ee77ccd","resolution":{"observed_at":"2026-08-02T22:42:02.180489Z","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":"2026-08-02T22:42:02.281736Z","title":"Hebey,Sobolev Spaces on Riemannian Manifolds, Lecture Notes in Mathematics, vol","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:02.281736Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:ea96a1379de550d1c491774834a46701cdd5366f2889f85507e2609a3165075f","observation_id":"8342a808-5209-40f3-88e5-0c0d59859896","resolution":{"observed_at":"2026-08-02T22:42:02.281736Z","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":"2026-08-02T22:42:02.490350Z","title":"Hilbert,Die Grundlagen der Physik, Nachrichten von der Gesellschaft der Wissenschaften zu G¨ ottingen, Mathematisch- Physikalische Klasse (1915), 395–407","venue":null,"work_id":null,"year":1915},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:02.490350Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:2c2162c8261300a910d524cc4385b521a56cc93c3ef666fce5b82d9535b4034e","observation_id":"a6bf264c-008e-421f-99dc-cbc941bf15d4","resolution":{"observed_at":"2026-08-02T22:42:02.490350Z","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":"2026-08-02T22:42:02.634479Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:02.634479Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:0796c58471f67b710e333b0ef967dcb425260454965f4751dd68ca2dade7a3ab","observation_id":"146e3ef9-c5ff-475b-83e9-a8d0593c9b2b","resolution":{"observed_at":"2026-08-02T22:42:02.634479Z","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":"2026-08-02T22:42:02.803407Z","title":"Holst,Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action, Phys","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:02.803407Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:15eaf18e4f6d130047b4abe0d088c9ca367bb5fc338e24e7aac8aa42e57bed6f","observation_id":"15ca5d4a-035b-48bf-8f7f-47083c12b2f1","resolution":{"observed_at":"2026-08-02T22:42:02.803407Z","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":"2026-08-02T22:42:02.977668Z","title":"Singular hypersurfaces and thin shells in general relativity","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:02.977668Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:be6c6e676fa1a49ec5422293af164dee8d3c45d225cefcdcda27e3eccb94f2d3","observation_id":"f32c90ae-8f8e-42a1-a5d0-8d3008006f17","resolution":{"observed_at":"2026-08-02T22:42:02.977668Z","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":"2026-08-02T22:42:03.220939Z","title":"Zum Unit¨ atsproblem der Physik,","venue":null,"work_id":null,"year":1921},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:03.220939Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:a1d238d61146ffed42480d87476fb17bdaaff27851e4ab886a50cee6b6f16847","observation_id":"cd8ad08b-0002-4492-b34d-a9646b5e9251","resolution":{"observed_at":"2026-08-02T22:42:03.220939Z","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":"2026-08-02T22:42:03.396128Z","title":"Khakshournia and R","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:03.396128Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:86feb24f77f80082a0d224f2e52cdc2fcdf67ab10a57a1bc9d7b183ec93b85cd","observation_id":"ea309054-d725-4943-ad8b-4cac89dccb23","resolution":{"observed_at":"2026-08-02T22:42:03.396128Z","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":"2026-08-02T22:42:03.560256Z","title":"Quantum theory and five-dimensional relativity,","venue":null,"work_id":null,"year":1926},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:03.560256Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:aae7410231d4c4669424d3e94592eb8d3fbb586fdc933f8f86d74eb3cf899420","observation_id":"cd8105b5-10e8-4afd-9b64-39684defdd02","resolution":{"observed_at":"2026-08-02T22:42:03.560256Z","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":"2026-08-02T22:42:03.755010Z","title":null,"venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:03.755010Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:ec7388b74b6b127c951bde944e368ff0fb3debe9ee50e08dc34835d368447755","observation_id":"11a1489c-c02e-4535-b614-4519a992e4a4","resolution":{"observed_at":"2026-08-02T22:42:03.755010Z","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":"2026-08-02T22:42:03.943687Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:03.943687Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:1a61c65d5dfedebd887d7ed3d2cd8b914e47436264f75bb5aa7167dd8114885b","observation_id":"aef34efb-980e-4526-9f8b-9decaea1e24d","resolution":{"observed_at":"2026-08-02T22:42:03.943687Z","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":"2026-08-02T22:42:04.083893Z","title":"The Yamabe problem","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:04.083893Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:64c8ef9c121ed9b670eb2ff6d5c5d368aff889058cdd1a151265bd81187696aa","observation_id":"d2f9d20b-0be0-4f5e-a4f0-689acb1acc47","resolution":{"observed_at":"2026-08-02T22:42:04.083893Z","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":"10.1103/physrevd.94.084046","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Gravitational action with null boundaries,","venue":"Physical review. D/Physical review. D.","work_id":"475aaf8b-2513-4cf9-a8e1-d632052f6ba4","year":2016},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:04.243802Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:6e6a64a02698e24756ef2f39e61f4d867659655ca36af1d74eda96eff458c1f9","observation_id":"29a5e057-4b7d-4247-a234-443a5216f1c9","resolution":{"observed_at":"2026-08-02T22:44:05.932891Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-02T22:42:04.427182Z","title":"Geometry of General Hypersurfaces in Spacetime: Junction Conditions","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:04.427182Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:61f0639c674c2796b6721e04c107253f6d816f067fd3cac305d1c22b634253e3","observation_id":"ebca8a8e-442e-4b7c-bfe9-12c32aa8e86d","resolution":{"observed_at":"2026-08-02T22:42:04.427182Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.16163","last_updated":"2022-10-28T14:39:46Z","snapshot_observed_at":"2026-08-16T16:20:19.256394Z","submitted_at":"2022-10-28T14:39:46Z","title":"Scalar curvature under the collapse of metric","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.16163","snapshot_observed_at":"2026-08-02T22:42:04.561897Z","title":"Scalar curvature under the collapse of metric","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:04.561897Z"},"links":{"cited_paper":"/paper/2210.16163","citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:f3411c85681d848b1f86be33e090c95c3eecd0c543c59462bf7a5b58c7fc0b27","observation_id":"8ee98de9-9da3-42ba-af52-fa545a111b46","resolution":{"observed_at":"2026-08-02T22:42:04.561897Z","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":"2026-08-02T22:42:04.700635Z","title":"Kaluza–Klein gravity,","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:04.700635Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:209f4178141e985457599a286a103593c3608b92e69356f8f86ab4d9f6a2fd71","observation_id":"22fa8b1d-5191-48e5-bc5c-6f08c372fde8","resolution":{"observed_at":"2026-08-02T22:42:04.700635Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-02T22:42:04.853796Z","title":"Palatini,Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton, Rendiconti del Circolo Matematico di Palermo43(1919), 203–212","venue":null,"work_id":null,"year":1919},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:04.853796Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:5f58cfea1238653fcfd760b299019c884d79bd6f5dadebc123e535dd543d3a7f","observation_id":"96e30f51-e5c3-4bc1-9c64-854e6fab0574","resolution":{"observed_at":"2026-08-02T22:42:04.853796Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1501.01053","last_updated":"2016-08-01T17:48:04Z","snapshot_observed_at":"2026-08-14T23:05:09.757754Z","submitted_at":"2015-01-06T01:09:13Z","title":"A Boundary Term for the Gravitational Action with Null Boundaries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1501.01053","snapshot_observed_at":"2026-08-02T22:42:04.977722Z","title":"A Boundary Term for the Gravitational Action with Null Boundaries,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:04.977722Z"},"links":{"cited_paper":"/paper/1501.01053","citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:6e26fd9cd7af5e507f46a8ab386636df667ce2cee8e040e7b7b6104c86bad726","observation_id":"b98b602a-b072-432d-830f-e551e9fae2f5","resolution":{"observed_at":"2026-08-02T22:42:04.977722Z","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":"2026-08-02T22:42:05.115251Z","title":"Simon,Functional Integration and Quantum Physics, Academic Press, New York (1974)","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:05.115251Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:2835d81418c805c26d7955ab9446577c0ecd208575cbb56ca68fe6660b1b243d","observation_id":"6ad30dc2-2003-461f-bda7-497076d8a4bd","resolution":{"observed_at":"2026-08-02T22:42:05.115251Z","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":"2026-08-02T22:42:05.272049Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:05.272049Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:ef87da6661a54560414f52820d78f9d0f1a71eb0fbd1cdf400186ad964540a15","observation_id":"e382aa2b-07db-436c-8a39-10eb9ed2e692","resolution":{"observed_at":"2026-08-02T22:42:05.272049Z","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":"2026-08-02T22:42:05.416765Z","title":"Classical Gravity with Higher Derivatives,","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:05.416765Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:dfc507813b2598ebc2c3da2f7716b37e3e0376763146a8227b11226970cc3569","observation_id":"77bf192c-9b57-462a-9937-0ba43acc1f46","resolution":{"observed_at":"2026-08-02T22:42:05.416765Z","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":"2026-08-02T22:42:05.610696Z","title":"One-loop divergencies in the theory of gravitation,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:05.610696Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:19afc82da6dbd3a372e7d4f871e55ad0ee41bfb674ca6a5eacfe5048da23c040","observation_id":"61161be3-085f-43c6-9068-e4d79488c217","resolution":{"observed_at":"2026-08-02T22:42:05.610696Z","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":"2026-08-02T22:42:05.762964Z","title":"Topping,Lectures on the Ricci Flow, London Mathematical Society Lecture Note Series325, Cambridge University Press (2010)","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:05.762964Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:1abcc4e41778fbc6d7c2585e744c1ff1ea51d9d36f84ccbb32154fe79a8abd6b","observation_id":"b631dd18-24f0-49ad-af5b-6c2b28c5650a","resolution":{"observed_at":"2026-08-02T22:42:05.762964Z","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":"2026-08-02T22:42:05.880164Z","title":"Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:05.880164Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:5729ed29b52d2159f5c94dbc4f426108528f7c6fdbde9b2611b27299c2f1e184","observation_id":"02862e3e-e6fb-42cb-ab81-d4024e8691e8","resolution":{"observed_at":"2026-08-02T22:42:05.880164Z","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":"2026-08-02T22:42:06.047164Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:06.047164Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:064a16a07bc210a5a212dc8bf53c53f192c83025e85de3c5a611d370954358d6","observation_id":"90175b56-1b23-40e7-83cd-0fe6a3091147","resolution":{"observed_at":"2026-08-02T22:42:06.047164Z","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":"2026-08-02T22:42:06.197245Z","title":"Variation Problems of Higher Order with Variable End Points,","venue":null,"work_id":null,"year":1936},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:06.197245Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:7ec51e080a6039b08172fa11ed1d3f81c3bb780abc3ba7d593ad3b956c4d5b54","observation_id":"43e08549-1712-4e91-bae3-ae7e5945353d","resolution":{"observed_at":"2026-08-02T22:42:06.197245Z","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":"2026-08-02T22:42:06.338496Z","title":"On the Nature of Quantum Geometrodynamics,","venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:06.338496Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:0598751d11581f31866951cd135adc068adb3c929db65e5a81c06f0a191d2dbe","observation_id":"7b00f9bb-8bd0-4091-84a2-1b5de88e7811","resolution":{"observed_at":"2026-08-02T22:42:06.338496Z","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":"2026-08-02T22:42:06.470958Z","title":"Differentiable manifolds,","venue":null,"work_id":null,"year":1936},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:06.470958Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:50a8703a3f731017168cb2b94cf09ee9e48ffb3d9a646f0158db60bdbe79cea9","observation_id":"89bc841f-9ad6-43ae-a0eb-58d05091a5fc","resolution":{"observed_at":"2026-08-02T22:42:06.470958Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0106109","last_updated":"2001-06-13T21:50:18Z","snapshot_observed_at":"2026-08-03T16:12:45.712498Z","submitted_at":"2001-06-13T21:50:18Z","title":"Quantum Gravity In De Sitter Space","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0106109","snapshot_observed_at":"2026-08-02T22:42:06.558739Z","title":"Quantum gravity in de Sitter space,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:06.558739Z"},"links":{"cited_paper":"/paper/hep-th/0106109","citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:99e83398c14560b8cdb39408bd8cb1b31c42eb46e2c36aa7f403f722181ee5c8","observation_id":"f729ec21-0850-47d1-a4c2-8e29f2f65ac9","resolution":{"observed_at":"2026-08-02T22:42:06.558739Z","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":"2026-08-02T22:42:06.721911Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-02T22:42:06.721911Z"},"links":{"citing_paper":"/paper/2602.16457"},"observation_digest":"sha256:335db6c9792f709e9ba53df22b4822131511662feb2f4c8e1c6322bd137f35a2","observation_id":"d11d2a15-f352-465a-9183-ae995b650ec3","resolution":{"observed_at":"2026-08-02T22:42:06.721911Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2602.16457","last_updated":"2026-06-16T19:15:36Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-08-11T03:23:45.393236Z","submitted_at":"2026-02-18T13:44:37Z","title":"A topology-changing variational framework for the Einstein-Hilbert functional"},"reference_resolution":{"displayed":55,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":51,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":55},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2602.16457."}