{"as_of":"2026-08-20T06:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fb6b68d5051c4173e3c5c591d4bdf99a3b439699d619a81d3a485ff9474f768f","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T10:30:08.572570Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2412.16598/citation-record","integrity":"/paper/2412.16598/integrity","json":"/paper/2412.16598/citation-record.json","paper":"/paper/2412.16598"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:30:09.283576Z","title":"Binder and D","venue":null,"work_id":"070d501c-f119-4c2d-a538-ed53ccbaea46","year":2010},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.413049Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:4f50451901ae8236873fa2bff0b8cc0de2743428f68e8f6a28eb775d734696d6","observation_id":"4cf0ebbb-e56b-44a3-9dbe-4bbd6f280041","resolution":{"observed_at":"2026-08-11T10:30:09.289387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.263732Z","title":"Krauth, Statistical mechanics: algorithms and com- putations, Oxford master series in physics No","venue":null,"work_id":"4784182f-a3fc-43e2-9659-ec3815876441","year":2006},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.418890Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:7e156041e5f9b82fa31c3de28378455279fb96ee9f68809e98e9533ea42f84d7","observation_id":"51589afd-d168-4e48-9f60-d47ec258a867","resolution":{"observed_at":"2026-08-11T10:30:09.269977Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.235877Z","title":"Wolff, Collective Monte Carlo Updating for Spin Sys- 9 tems, Physical Review Letters 62, 361 (1989)","venue":null,"work_id":"c3cc04f5-38ed-40db-ad25-1b5aeefb1274","year":1989},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.424231Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:90b54cc59090aabf4d46baef55fa415ee734c20646555521cf5cdac9805b8ab1","observation_id":"fadaae7b-5635-43cf-b0f8-bcd693dc4413","resolution":{"observed_at":"2026-08-11T10:30:09.245207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.214816Z","title":null,"venue":null,"work_id":"54214af3-c5f8-49a5-a5c7-f42473c09fd5","year":1987},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.429305Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:b32b845f3e29d10384c7a7dd30f51d617e4fd8c35c5914925c3f0ffc2210a706","observation_id":"9021f4ea-d2a8-49b7-9c08-2384595cda71","resolution":{"observed_at":"2026-08-11T10:30:09.221220Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.197787Z","title":"Hukushima and K","venue":null,"work_id":"1675715a-cac8-436a-910f-65c6013c748e","year":1996},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.434747Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:cfe925967a37d21d0b0378d3f0cce5c8a5693f3590976df0b5ce496cb7f414a3","observation_id":"9550b360-3e27-4806-a40a-4a1b3ac35f6d","resolution":{"observed_at":"2026-08-11T10:30:09.203007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.178305Z","title":null,"venue":null,"work_id":"d3b381ad-5d6a-460c-880d-c61b9e86e89b","year":2019},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.440292Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:0a06f0b53d50e2bbb856b237c6884819a125bdaaddb7206699befce56af91ef9","observation_id":"6145c662-90d5-408f-a725-1cbff1d6f304","resolution":{"observed_at":"2026-08-11T10:30:09.184116Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.158996Z","title":"Ciarella, J","venue":null,"work_id":"8ccaa2dd-72a1-4d4a-91d4-c63e6e45264c","year":2023},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.446694Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:ede66d95574ef5c261af955c32e15dfeb7876bf8c87844099cf63f02b7a34ca4","observation_id":"37d707e4-7a7f-4971-8bc6-208ce9ecf720","resolution":{"observed_at":"2026-08-11T10:30:09.164649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.128270Z","title":"Bia las, P","venue":null,"work_id":"78634584-b95d-468c-8023-34bd6315f77d","year":2023},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.457272Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:48fb60442e56b63220d12bbbc81d4aec3cbacf88d2488a713059286c01a3cfff","observation_id":"34a67faa-a7a4-401a-ae0c-ac89510db7a1","resolution":{"observed_at":"2026-08-11T10:30:09.134235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.111007Z","title":null,"venue":null,"work_id":"a1b92b47-fe62-4957-bbe9-4d56b79455c7","year":2020},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.462979Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:7e91073f6b35b413cd8b1078a1f8f81cb0ee2fa655ba626c220e7bf0639bd1a8","observation_id":"ac1472e7-c101-467b-bf08-2854324c0414","resolution":{"observed_at":"2026-08-11T10:30:09.116305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.092796Z","title":"McNaughton, M","venue":null,"work_id":"56ea82f5-f20f-4280-b853-d18a3347eaa9","year":2020},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.472084Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:8fbfc6f7b5e62b20e04121b504c60c0e2b9af8411c9f1b835f2bbb773caefde7","observation_id":"65a2a206-7a83-463c-851b-ad4b152fdc40","resolution":{"observed_at":"2026-08-11T10:30:09.098178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.073928Z","title":null,"venue":null,"work_id":"7b69dc99-bc5e-4960-9af2-8937e6484386","year":2021},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.477476Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:16b7081ff43a7a8beb0a177211a1ca87d892dbb4e75c474c8aab5ce502c93a8d","observation_id":"993d1b08-142a-49c8-a2e3-4b68589751bf","resolution":{"observed_at":"2026-08-11T10:30:09.080223Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.054977Z","title":"Bia las, P","venue":null,"work_id":"3cb8212e-7b1d-4048-98c7-e1836d20eaa3","year":2022},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.482731Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:d14e91e5f4ea5c4d93e5f4f3fd24832a73d064df3ef5a135e92fcc02b9bdc6c9","observation_id":"0d892cc4-379b-4ad9-b68e-f4b3bea25406","resolution":{"observed_at":"2026-08-11T10:30:09.060330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.037424Z","title":null,"venue":null,"work_id":"952d5233-7363-403f-8e8e-9e5502ebd804","year":2024},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.488449Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:91d92c5c05ffe85c74a369f08b363e83378fbcc9883c6012f4fb40cef2681a25","observation_id":"cde0ca4d-cdc2-4097-9d35-a614207f594d","resolution":{"observed_at":"2026-08-11T10:30:09.043415Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:08.494833Z","title":"Lucas, Ising formulations of many NP problems, Fron- tiers in Physics 2, 10.3389/fphy.2014.00005 (2014)","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.494833Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:0442d283d024356f50375a1b5467f4644cefc68fecda2462392c4bd12466b84a","observation_id":"ea409f7d-cfbe-4d2d-a244-d12ac5adc412","resolution":{"observed_at":"2026-08-11T10:30:08.494833Z","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":"2026-08-11T10:30:09.019430Z","title":null,"venue":null,"work_id":"bbed516e-d3a7-4a80-adba-5db325ec4d39","year":2021},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.499636Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:a6ed8000e54268536dca0fa26022a0c27dc7646d853e45fb71f3cd24d2f49e2e","observation_id":"a15cbc3f-c363-4637-b9cd-ae17c0e65fa2","resolution":{"observed_at":"2026-08-11T10:30:09.025240Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.07018","last_updated":"2019-09-16T06:43:46Z","snapshot_observed_at":"2026-08-15T12:14:37.673160Z","submitted_at":"2019-09-16T06:43:46Z","title":"Gumbel-softmax Optimization: A Simple General Framework for Combinatorial Optimization Problems on Graphs","version":1},"cited_work":{"arxiv_id":"1909.07018","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.07018","snapshot_observed_at":"2026-08-11T10:30:08.666989Z","title":"Gumbel-softmax Optimization: A Simple General Framework for Combinatorial Optimization Problems on Graphs","venue":"cs.LG","work_id":"5f92c2be-8ede-4d21-aac8-88f30d2fd71c","year":2019},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.504916Z"},"links":{"cited_paper":"/paper/1909.07018","citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:1389bb053ba4742450769a62ef69b77c3feb996d27cfcd71b3dadd0db7b75060","observation_id":"56d4647e-c093-4c06-9898-60e12b96d571","resolution":{"observed_at":"2026-08-11T10:30:08.673196Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.00783","last_updated":"2023-07-03T07:01:42Z","snapshot_observed_at":"2026-08-16T15:19:15.845319Z","submitted_at":"2023-07-03T07:01:42Z","title":"Monte Carlo Policy Gradient Method for Binary Optimization","version":1},"cited_work":{"arxiv_id":"2307.00783","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.00783","snapshot_observed_at":"2026-08-11T10:30:08.638583Z","title":"Monte Carlo Policy Gradient Method for Binary Optimization","venue":"math.OC","work_id":"c086ec27-4e72-413a-bd97-d9f950f167a4","year":2023},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.511061Z"},"links":{"cited_paper":"/paper/2307.00783","citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:e05cb659b2831656e2913aaeab71def6ab99fd7154e72341eb67e6a0041e3395","observation_id":"aebdf42c-3ca7-4115-b7e7-25e778a6c463","resolution":{"observed_at":"2026-08-11T10:30:08.647159Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:09.000325Z","title":"Slowik and H","venue":null,"work_id":"f96c4ccd-8c21-4407-8524-3a522ae29757","year":2020},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.516263Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:59b3b9e65643a6569d32e02408c16372067e800e5afdf1290d95f5d4fe59d806","observation_id":"e9f0caec-1a2b-4f29-89a3-99e0955a31d6","resolution":{"observed_at":"2026-08-11T10:30:09.006757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:08.982026Z","title":null,"venue":null,"work_id":"0670246b-130a-426e-88fa-4669a7eb2b3a","year":2018},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.521908Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:d5091c0bc2645d5fc43ff5b7481ab14b76c72dedbaa01ea7a72001d6662e34a2","observation_id":"60bd781c-44ea-4464-b420-efe4a908510c","resolution":{"observed_at":"2026-08-11T10:30:08.987221Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:08.962803Z","title":null,"venue":null,"work_id":"c13c382b-8f89-4670-b358-4e930cd28adc","year":1988},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.527943Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:9013b8e49c6392786100a9a8ca60f035a83693a2238784ba1dcd0997eca1653b","observation_id":"ef2d9592-28ee-4ecb-89fc-a7b123ba742c","resolution":{"observed_at":"2026-08-11T10:30:08.969040Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:08.945906Z","title":"Baird and Leemon C., Advantage Updating:, Tech","venue":null,"work_id":"387643d4-8935-4877-94c9-c003aad30f1f","year":1993},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.534566Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:785cda11eca4865d77cdc3461edc74073eede5b08f294c20164982542c18f3d7","observation_id":"cbb302fb-cac2-4b4e-a4f5-5b52cfedf21e","resolution":{"observed_at":"2026-08-11T10:30:08.951193Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1502.03509","last_updated":"2015-06-05T14:37:32Z","snapshot_observed_at":"2026-08-16T20:08:09.802417Z","submitted_at":"2015-02-12T02:06:07Z","title":"MADE: Masked Autoencoder for Distribution Estimation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.03509","snapshot_observed_at":"2026-08-11T10:30:08.540352Z","title":"Germain, K","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.540352Z"},"links":{"cited_paper":"/paper/1502.03509","citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:fb48996cd8e972dbde779ec0924a17595e6eb77a9a5d32ae7b1c08a76296e792","observation_id":"02c0cbce-1c07-41c7-a48f-20f6454c849e","resolution":{"observed_at":"2026-08-11T10:30:08.540352Z","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":"2026-08-11T10:30:08.928133Z","title":"Onsager, Crystal Statistics","venue":null,"work_id":"4500612b-90d0-4dbf-96fa-2114939364be","year":1944},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.547202Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:37e74bff30a0d4bc4de62e17711b58d392b2b624dd0c8db659ce9d7d48f0e718","observation_id":"b95a1f69-c363-4eec-bd8b-0f4dc09fd899","resolution":{"observed_at":"2026-08-11T10:30:08.934265Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:08.552219Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.552219Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:8404e59c6be1af3e11609718175f6a4bb4851dda229c46b928c4f7455c1496e1","observation_id":"90e514be-108d-4af2-91b2-6e69b8dee356","resolution":{"observed_at":"2026-08-11T10:30:08.552219Z","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":"2026-08-11T10:30:08.893325Z","title":"Sherrington and S","venue":null,"work_id":"09c53b8f-85d5-47dc-b588-3a8770b6b824","year":1975},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.557428Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:3988396740acc392794b57a6e3b6d7e05e14018a38daada89784cf6faf5ef927","observation_id":"e2d1a45f-b5b7-4038-8b01-bbe88bd551b1","resolution":{"observed_at":"2026-08-11T10:30:08.899177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:08.867056Z","title":"Pelikan, K","venue":null,"work_id":"8ea8e457-8791-4f44-88c3-f33dd9d63ec5","year":2008},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.562901Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:c1f8de7b738c4bc29e998a0b95afdb6011dfe6da82b6594fb3fd9fa7333afd6f","observation_id":"9d8fc0fe-7603-4f86-af6f-fe7988fe2a7a","resolution":{"observed_at":"2026-08-11T10:30:08.877963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T10:30:08.567785Z","title":"Pedregosa, G","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.567785Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:2d7287edb92372ebd61c545bf2dcddefd12fec29aa46ae2ef32146bf7ad9d446","observation_id":"5e98558f-b16b-4e2b-96a5-c413fd3af999","resolution":{"observed_at":"2026-08-11T10:30:08.567785Z","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":"2026-08-11T10:30:08.835519Z","title":null,"venue":null,"work_id":"ec06b7bb-4313-4c97-bb83-69cc90923640","year":2022},"citing_paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T10:30:08.572570Z"},"links":{"citing_paper":"/paper/2412.16598"},"observation_digest":"sha256:cd68f07be4c4e0e8ff0a47c2e161b6ce559af2120d204ae12ab7eba7155d61d3","observation_id":"a9954199-7992-4cef-ab01-6763f0dd7f9e","resolution":{"observed_at":"2026-08-11T10:30:08.842209Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.16598","last_updated":"2024-12-21T12:08:17Z","latest_version":1,"primary_category":"cond-mat.dis-nn","snapshot_observed_at":"2026-08-16T20:08:45.386167Z","submitted_at":"2024-12-21T12:08:17Z","title":"Variational Evolutionary Network for Statistical Physics Systems"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":2,"verified_fuzzy":13},"total_outbound_references":28},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2412.16598."}