{"as_of":"2026-08-08T13:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eb5ae9cc3235dce74416fa5c676b9b3aff656122d154fb97e9d809dd8003d2fb","coverage":[{"denominator":96,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":96,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:42:09.368576Z","state":"measured"},{"denominator":96,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":96,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2507.05054/citation-record","integrity":"/paper/2507.05054/integrity","json":"/paper/2507.05054/citation-record.json","paper":"/paper/2507.05054"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:42:08.891232Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.891232Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:cd7fe9a6557d48018f2b9b2f6d9117ecae2aa7174a6a4a9134381498d2fdcfb7","observation_id":"11c0f390-2b34-40b6-9f84-d30cca71388f","resolution":{"observed_at":"2026-08-06T19:42:08.891232Z","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":"2026-08-06T19:42:08.895979Z","title":"We again haveN++N− = NA+NB = N","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.895979Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:d53b36d62438695bac8c945ad3a84c775d16f32ffeb1c7f4d2fca3fead5ac7e4","observation_id":"ff717c7a-3960-4670-a231-0f320305c3b4","resolution":{"observed_at":"2026-08-06T19:42:08.895979Z","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":"2026-08-06T19:42:08.900255Z","title":"(B15) where f (i, N+) is a function identical to that of f (i) in Eq","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.900255Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:14355a792ca22dbb84a954282c197b24afcd1f569e86753461549e4b3ecb0184","observation_id":"ce1ad4b0-a373-4867-81b0-aeb80b9fef01","resolution":{"observed_at":"2026-08-06T19:42:08.900255Z","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":"2026-08-06T19:42:08.904347Z","title":"ignorant","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.904347Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:2ea26f278af5450e370f6c93e5d8486b10460dcce05de84f05be6b239d788c13","observation_id":"21c2d6b2-83b3-425e-b386-e6cf84c81b19","resolution":{"observed_at":"2026-08-06T19:42:08.904347Z","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":"2026-08-06T19:42:08.908252Z","title":"(B23) Using Eq","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.908252Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:774af29ea066579a426e9e5544a5f19c640797c650ccf20f57d26f6a33c2e774","observation_id":"67f4acee-5546-43e5-8fab-d839cad165ce","resolution":{"observed_at":"2026-08-06T19:42:08.908252Z","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":"2026-08-06T19:42:08.912275Z","title":"(B29) We obtain fmax by inserting pi = ar into Eq","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.912275Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:b66feff7efaf3731208f9afe15210115eeb289546e2dc95ff775c1914d2275cf","observation_id":"254a2466-0585-46a8-a349-0d6d1ee10c71","resolution":{"observed_at":"2026-08-06T19:42:08.912275Z","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":"2026-08-06T19:42:08.917085Z","title":"(C4) and (C5) below)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.917085Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:26583b82ea7f2dd3e6fc06c5eadc1552b12af1a4a662cdbbea9ac31db52727ea","observation_id":"e14db5eb-95ba-4d2d-9e33-8aaf5df9c060","resolution":{"observed_at":"2026-08-06T19:42:08.917085Z","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":"2026-08-06T19:42:08.925678Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.925678Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:4861d6c8550d92d6bb75545ce9b1ba8fa8fbc92b5e5fc59c6df05d4fd1dbd845","observation_id":"1258b765-780d-424a-bcb2-b2e9171f9276","resolution":{"observed_at":"2026-08-06T19:42:08.925678Z","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":"2026-08-06T19:42:08.929853Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.929853Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:adf6e4dfe2bfcb3c73210a2159e4b6c6f7775b6593c876ec5da904637f0c34fa","observation_id":"52736e7e-86fa-4195-baac-587f2c73e248","resolution":{"observed_at":"2026-08-06T19:42:08.929853Z","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":"2026-08-06T19:42:08.933607Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.933607Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:2b4ff589d80f27bd77944e46bf486d8bea15b9d6825715533711d3483b91ac0f","observation_id":"55779031-b60f-4e5c-bf5a-58b92136e96c","resolution":{"observed_at":"2026-08-06T19:42:08.933607Z","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":"2026-08-06T19:42:08.937656Z","title":"Chandra and K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.937656Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:0cdbfe841def02b362507d61ff6da9f4f92cede765e29c062befa8770ad76f4d","observation_id":"eb91b207-7be8-42ea-87ce-8ca7117b5045","resolution":{"observed_at":"2026-08-06T19:42:08.937656Z","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":"2026-08-06T19:42:08.941510Z","title":"Gonsioroski, V","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.941510Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:1c22964271522fb051e8c77d77c4fea3c9118676c3742087c20eaf4493efc6f2","observation_id":"3e8400b8-bf93-4c6e-89c3-db2e9f2d5e07","resolution":{"observed_at":"2026-08-06T19:42:08.941510Z","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":"2026-08-06T19:42:08.945248Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.945248Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:f7d8d483f83d30b2bc694413bcfe1b75ebf1d8282774067b9d7da2af887b4c8c","observation_id":"b517afc2-db07-4987-a997-8e656a74ba40","resolution":{"observed_at":"2026-08-06T19:42:08.945248Z","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":"2026-08-06T19:42:08.949083Z","title":"Bernon, H","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.949083Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:036d7c308b2058e33ad85d3ec2d436a66ab840fbcea7cddbd72c40814ed936c9","observation_id":"cb9f8f89-5e6d-455b-8e0a-aa046c36a644","resolution":{"observed_at":"2026-08-06T19:42:08.949083Z","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":"2026-08-06T19:42:08.953447Z","title":"L´ eonard, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.953447Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:115581a7588298114462794f7fbdc3184ca40b83fd964b8fae71686d7af894ff","observation_id":"8e4a7cbf-4b46-4b5e-a569-45b4c99fcae9","resolution":{"observed_at":"2026-08-06T19:42:08.953447Z","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":"2026-08-06T19:42:08.957053Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.957053Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:dbabc7171e843a35abd93e5a1218db6aaab552185a78edc9e1c0031f3fb3d41c","observation_id":"71f579f9-8ba7-4a65-95b1-5551e3d47e62","resolution":{"observed_at":"2026-08-06T19:42:08.957053Z","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":"2026-08-06T19:42:10.847793Z","title":null,"venue":null,"work_id":"470f2560-4f97-45f1-bea7-b07d69fb6163","year":1991},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.960662Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:335bb3ac9344d706e876c2bfe55b28ca31f53fc3b4e3c419de65f5f4dd175079","observation_id":"0e4da224-3617-4526-99a6-56a307880f50","resolution":{"observed_at":"2026-08-06T19:42:10.856938Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.811512Z","title":"Tatarin and O","venue":null,"work_id":"fe765c87-70ae-4bce-b959-1a2fb6c1e88c","year":1999},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.964446Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:ef9a143d639bb0cfc75fb9a1c7c0dfd630f41b564c7c351595ec06e5d51bf3cc","observation_id":"3513919c-63c8-4b6d-b256-52e02ba5e66f","resolution":{"observed_at":"2026-08-06T19:42:10.828952Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.781043Z","title":null,"venue":null,"work_id":"7ab626fc-57a6-493d-8810-aadf0a19c958","year":2006},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.968356Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:9683be8d07504a20d645defd4b926d068fb5145acb500ae9a9500dd173c6eb2b","observation_id":"613a1bac-2493-44d3-9732-28f0cb71d857","resolution":{"observed_at":"2026-08-06T19:42:10.792849Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.737809Z","title":"Ben-Naim, On the So-Called Gibbs Paradox, and on the Real Paradox, Entropy 9, 132 (2007)","venue":null,"work_id":"6f2ab6e9-c088-47d1-96d9-d914708d15ff","year":2007},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.971966Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:de658ec2581abf8615a9e93e7ebd8ad557e25b027a4d37064bf594a549aaf719","observation_id":"4ab00bde-c5b9-4bc7-8975-29711a534ff0","resolution":{"observed_at":"2026-08-06T19:42:10.754067Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.711745Z","title":"Lin, Gibbs Paradox and the Concepts of Informa- tion, Symmetry, Similarity and Their Relationship, En- tropy 10, 1 (2008)","venue":null,"work_id":"b08ffd83-fd9a-4938-be91-f090a73f0d8c","year":2008},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.975536Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:02405886366825294a045b7950d589259f5b4d0287752af5193e37259e9fd129","observation_id":"335aed88-8ed1-43ce-8aff-103923fa9eb1","resolution":{"observed_at":"2026-08-06T19:42:10.718561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.698067Z","title":null,"venue":null,"work_id":"5db0b24d-18d0-4c49-b517-f8e32f426f8c","year":2008},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.979255Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:4667fba8b314d6d54a0f39560aa1599d2cf679bd6274f6d8551336959b2d3adc","observation_id":"be8367b3-9752-4b91-a184-2affbc17cf35","resolution":{"observed_at":"2026-08-06T19:42:10.702427Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.684401Z","title":null,"venue":null,"work_id":"cd0fc727-e3e0-4e99-bf68-1542daa65c64","year":2008},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.982929Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:0e29b61cc60b46b031936c5ffdf0facad5cbed988a46e134c10d26d90788318b","observation_id":"25e4f898-c4e6-48d6-a59b-f5dde4a20010","resolution":{"observed_at":"2026-08-06T19:42:10.688664Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.670703Z","title":"Cheng, Thermodynamics of the System of Distin- guishable Particles, Entropy 11, 326 (2009)","venue":null,"work_id":"7b23bd55-e317-4bef-8fae-fb465f725187","year":2009},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.986648Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:0f51ef332bd18ba1597e02bc26d1f3415bd63f2e2bae353d671b05febcd89eb4","observation_id":"c36f38aa-b8c7-4151-9f6c-6714a4ab302c","resolution":{"observed_at":"2026-08-06T19:42:10.675255Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.656289Z","title":"Enders, Gibbs’ Paradox in the Light of Newton’s No- tion of State, Entropy 11, 454 (2009)","venue":null,"work_id":"3953428d-74c6-451b-8a36-0b91573571b5","year":2009},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.990368Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:87d6abb9bf7e8ca723c20a8a2ae87b924f27a5f7859089d9c02c55567450928c","observation_id":"05b7ad09-d051-4779-b349-b9cf45e8d088","resolution":{"observed_at":"2026-08-06T19:42:10.660920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.643189Z","title":null,"venue":null,"work_id":"23c8b9d0-fe43-4b61-be94-b151ce647625","year":2010},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.993939Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:ec9974995002ad563568cba03592148321e1795d27fe572ac355120f833cfb76","observation_id":"3ad55cc9-f8ef-4b15-a84c-e0c57b4c3fa6","resolution":{"observed_at":"2026-08-06T19:42:10.647366Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.629075Z","title":"Peters, Demonstration and resolution of the Gibbs paradox of the first kind, Eur","venue":null,"work_id":"410c8aab-a625-45f2-bbc2-8f8d91df2c35","year":2013},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:08.997750Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:afb7a215df818b362af6b99a2c8c78979cddef5f8993117c9393ce0cf2617b04","observation_id":"9b390040-f180-4b83-85cc-98e063cd8990","resolution":{"observed_at":"2026-08-06T19:42:10.633649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.615881Z","title":"Saunders, The Gibbs Paradox, Entropy20, 552 (2018)","venue":null,"work_id":"f5cee399-7ccb-4309-9c4d-7adc0af3daf8","year":2018},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.001522Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:a1b10e4412b7d2a89bd78172919860de1c3ed1851d5cf358fa3d247eac1e852e","observation_id":"d71a2e14-975f-4195-8b04-0ba5310d1cbe","resolution":{"observed_at":"2026-08-06T19:42:10.620150Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.602689Z","title":"Darrigol, The Gibbs Paradox: Early History and So- lutions, Entropy 20, 443 (2018)","venue":null,"work_id":"421faf50-7a08-4b01-83ef-5ec5dd73ab20","year":2018},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.005292Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:5e75691cc57029cd55bb8b7c9aea6f15aa98cf1e7f0fc15fe0e2fba0156c4355","observation_id":"026265ec-bdaf-46c0-a03f-3092a4d94285","resolution":{"observed_at":"2026-08-06T19:42:10.606865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.589539Z","title":"Dieks, The Gibbs Paradox and Particle Individuality, Entropy 20, 466 (2018)","venue":null,"work_id":"892b4fe9-4914-4c49-b187-e5b5b5c09ff0","year":2018},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.008940Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:02e81ad96f94506a26f93d0ba404e829ddd38dfe2f2c6057a64617894c7a9bad","observation_id":"d57227a0-2ddd-40ac-93d3-ab4edc368c5d","resolution":{"observed_at":"2026-08-06T19:42:10.593704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.576946Z","title":null,"venue":null,"work_id":"938a57de-de03-4bcd-ba9b-102c00a6d088","year":2018},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.012506Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:4f35ab7a6149db29bf961ffaea5927eb45d067063737acce5d850531a378a876","observation_id":"33141d29-8286-49fb-b4ee-023f119e017a","resolution":{"observed_at":"2026-08-06T19:42:10.580674Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.11132","last_updated":"2023-07-11T08:33:10Z","snapshot_observed_at":"2026-07-06T15:18:30.127408Z","submitted_at":"2023-04-19T18:11:18Z","title":"The Gibbs paradox in classical thermodynamics is a consequence of the erroneous attribution of the entropy of an ideal gas to additive quantities","version":2},"cited_work":{"arxiv_id":"2304.11132","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.11132","snapshot_observed_at":"2026-08-06T19:42:09.982539Z","title":"The Gibbs paradox in classical thermodynamics is a consequence of the erroneous attribution of the entropy of an ideal gas to additive quantities","venue":"physics.hist-ph","work_id":"495bcc3e-2391-4251-a096-1e565646056b","year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.016155Z"},"links":{"cited_paper":"/paper/2304.11132","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:8650fffa06f3d5074e4e992fcbc58a6a486a95f55b1616a9afaf9ff5521e7547","observation_id":"fca1b9c5-9d64-4e9a-bcc6-60a41ce0aea9","resolution":{"observed_at":"2026-08-06T19:42:09.987184Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.564122Z","title":null,"venue":null,"work_id":"7de3621f-6b8a-4dd7-b7b1-9956c0f2390b","year":2024},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.020045Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:96779dba16909504afe7095f3756896458626a6b0dfbab9843cdd3f2a3dce408","observation_id":"206b5c45-bb2e-4d49-982b-27d5a88a82e6","resolution":{"observed_at":"2026-08-06T19:42:10.567984Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.551247Z","title":"Lairez, Thermostatistics, Information, Subjectivity: Why Is This Association So Disturbing?, Mathematics 12, 1498 (2024)","venue":null,"work_id":"080bb88c-3401-44fe-88ca-0187e84700c4","year":2024},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.023555Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:460d9d651452b6e0ec06b46f29843a425cce8b4832ed9a9107ef931ab0e903a7","observation_id":"6ca51e71-b2ff-4604-9086-02eaaa2e557f","resolution":{"observed_at":"2026-08-06T19:42:10.555174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.537918Z","title":"Yadin, B","venue":null,"work_id":"504d180f-86d2-4dc8-95c8-19c2bc75dc94","year":2021},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.027642Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:7c04b7af13200d807b4ca3e88151968715dd02e2cb24012b2d46497ca7acb607","observation_id":"8bd9d128-e297-48a5-bf34-52ecfd74d503","resolution":{"observed_at":"2026-08-06T19:42:10.541703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.523416Z","title":"Yoshida and N","venue":null,"work_id":"34bf1f3b-d7d0-414d-83eb-e185f84c4e3c","year":2022},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.031378Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:1464f88236f4e582b05fc22b5d6b2c31940133caa3a65333cff804ffe35c25f5","observation_id":"cf594757-e9ba-4d93-a36f-013b1a77b8d8","resolution":{"observed_at":"2026-08-06T19:42:10.527930Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.509287Z","title":"Takakura, Entropy of mixing exists only for classi- cal and quantum-like theories among the regular polygon theories, J","venue":null,"work_id":"f1c873aa-fda1-42fb-b61a-52ccabd8bf65","year":2019},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.035077Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:d41b5a3aa9fd3ff4e53f4e672177ab01bf508ca224c2a11ca3f043ca65f5c033","observation_id":"9968f3ae-8815-45d2-beed-479af034dbb6","resolution":{"observed_at":"2026-08-06T19:42:10.513324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.495637Z","title":null,"venue":null,"work_id":"e656763b-1fec-4d4e-8a4f-b81709da2e7c","year":2022},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.038818Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:a9357c3f592fda68b04dce46cb2d32a797b7f4e0da41c886b4090ad1c29e86a4","observation_id":"6996cdc5-8265-4a62-b197-94221ab95a78","resolution":{"observed_at":"2026-08-06T19:42:10.499544Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.482500Z","title":"von Neumann, Proof of the ergodic theorem and the H-theorem in quantum mechanics","venue":null,"work_id":"7c1aa9c6-861f-47ca-b874-124e016d34c3","year":2010},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.042350Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:e4fcfbf576fc23097e16ba8871d74e80ad2c5317e9038221c134525c3987b44a","observation_id":"827e812d-0a50-4591-a244-082afd7a298d","resolution":{"observed_at":"2026-08-06T19:42:10.486470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.469175Z","title":"von Neumann, Mathematical foundations of quantum mechanics (Princeton university press, 1955)","venue":null,"work_id":"d40ab5ad-69a5-4a9b-b948-a945f02c030b","year":1955},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.045959Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:301d8f1beb8c1b48722f5356c4bb2f72a7113980c46ba88da0a051ee91a055ef","observation_id":"70a57364-455a-477a-a851-d5a293d2c015","resolution":{"observed_at":"2026-08-06T19:42:10.473303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1707.09722","last_updated":"2019-01-15T22:55:26Z","snapshot_observed_at":"2026-07-06T05:53:21.811262Z","submitted_at":"2017-07-31T04:42:01Z","title":"Quantum coarse-grained entropy and thermodynamics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.09722","snapshot_observed_at":"2026-08-06T19:42:09.049539Z","title":"ˇSafr´ anek, J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.049539Z"},"links":{"cited_paper":"/paper/1707.09722","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:9110cce137cd882fc26ae6cde555c81d3f02a451b602eed6b1e268b29a7def86","observation_id":"f16625b0-82f9-4523-b3b2-14579f6fecde","resolution":{"observed_at":"2026-08-06T19:42:09.049539Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.00665","last_updated":"2019-01-15T23:09:25Z","snapshot_observed_at":"2026-07-06T06:26:13.397923Z","submitted_at":"2018-03-02T00:04:53Z","title":"Quantum coarse-grained entropy and thermalization in closed systems","version":2},"cited_work":{"arxiv_id":"1803.00665","doi":null,"metadata_source":"pith","pith_arxiv_id":"1803.00665","snapshot_observed_at":"2026-08-06T19:42:09.948635Z","title":"Quantum coarse-grained entropy and thermalization in closed systems","venue":"quant-ph","work_id":"10f52e4d-9f9f-477f-a772-b0141d63c618","year":2018},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.053629Z"},"links":{"cited_paper":"/paper/1803.00665","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:67488d83f6ae8e3cc73368d0d75c02371f61635bd96cd7e0f285008a5ae7ed3c","observation_id":"76205ebf-1716-491f-9ba7-996efb8c4a4a","resolution":{"observed_at":"2026-08-06T19:42:09.952896Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.04409","last_updated":"2021-10-27T07:37:24Z","snapshot_observed_at":"2026-07-06T09:46:03.498239Z","submitted_at":"2020-08-10T20:55:35Z","title":"A brief introduction to observational entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.04409","snapshot_observed_at":"2026-08-06T19:42:09.164031Z","title":"ˇSafr´ anek, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.164031Z"},"links":{"cited_paper":"/paper/2008.04409","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:9df6c021b8a5168a8d07e0ba5fe250bd5a5c56ef8ccfc4a3b8beb7ed07b26de0","observation_id":"6f3d1b02-70b2-47d2-911f-6b0a68f841fc","resolution":{"observed_at":"2026-08-06T19:42:09.164031Z","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":"2026-08-06T19:42:10.455919Z","title":"Strasberg and A","venue":null,"work_id":"1a2eba9b-c426-4334-99e5-af9ffa352a47","year":2021},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.168618Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:1412b55c6f5a21ede31927015be98a5d926b621ac64581e7ef1a9116f4f4315f","observation_id":"7237b787-22df-4403-99d7-b1e1fbde8ba6","resolution":{"observed_at":"2026-08-06T19:42:10.460021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.07246","last_updated":"2023-12-08T12:41:36Z","snapshot_observed_at":"2026-07-06T09:38:11.742379Z","submitted_at":"2020-07-11T07:31:25Z","title":"Quantifying Information Extraction using Generalized Quantum Measurements","version":5},"cited_work":{"arxiv_id":"2007.07246","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.07246","snapshot_observed_at":"2026-08-06T19:42:09.914131Z","title":"Quantifying Information Extraction using Generalized Quantum Measurements","venue":"quant-ph","work_id":"be824706-4273-43f4-8202-48dbf582e05e","year":2020},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.172433Z"},"links":{"cited_paper":"/paper/2007.07246","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:910af40ecfc9c8982509735a6b338f777c3f970a8396dc964f11a792f30f71fe","observation_id":"9c7c3aa5-8c77-4219-9e04-da3a726d5017","resolution":{"observed_at":"2026-08-06T19:42:09.918862Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.03803","last_updated":"2023-04-05T08:26:32Z","snapshot_observed_at":"2026-07-06T13:50:10.669145Z","submitted_at":"2022-09-08T13:22:15Z","title":"Observational entropy, coarse quantum states, and Petz recovery: information-theoretic properties and bounds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.03803","snapshot_observed_at":"2026-08-06T19:42:09.176723Z","title":"Buscemi, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.176723Z"},"links":{"cited_paper":"/paper/2209.03803","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:9e870008ce77dfc811068c51dd1a678ecd4ca884a9474d1ecacc7e62afec9991","observation_id":"05f66674-2b0a-47cd-a0a9-0e34f7d570b9","resolution":{"observed_at":"2026-08-06T19:42:09.176723Z","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":"2026-08-06T19:42:09.180878Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.180878Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:086ea5db999bdecaf46ec1db3029913b3ba40b29709c078670c8d7f18702472e","observation_id":"b1d1a460-678e-4a69-9c9e-4f64fabaf7b3","resolution":{"observed_at":"2026-08-06T19:42:09.180878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.02184","last_updated":"2020-12-18T11:11:13Z","snapshot_observed_at":"2026-07-06T09:44:48.741228Z","submitted_at":"2020-08-05T15:19:29Z","title":"Quantum systems correlated with a finite bath: nonequilibrium dynamics and thermodynamics","version":2},"cited_work":{"arxiv_id":"2008.02184","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.02184","snapshot_observed_at":"2026-08-06T19:42:09.895188Z","title":"Quantum systems correlated with a finite bath: nonequilibrium dynamics and thermodynamics","venue":"quant-ph","work_id":"a411488f-8f44-44e7-839c-fc9d9ce8f751","year":2020},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.184901Z"},"links":{"cited_paper":"/paper/2008.02184","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:59c88dc31ec44fe0446dfa84aa3536def84d87d8c205fd3948dd5e987c74a1c2","observation_id":"94a7ab99-68ea-41a0-ab36-dd4222f5c140","resolution":{"observed_at":"2026-08-06T19:42:09.899870Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.03262","last_updated":"2021-07-07T07:12:21Z","snapshot_observed_at":"2026-07-06T10:21:08.366400Z","submitted_at":"2020-12-06T13:34:00Z","title":"Clausius Inequality for Finite Baths Reveals Universal Efficiency Improvements","version":2},"cited_work":{"arxiv_id":"2012.03262","doi":null,"metadata_source":"pith","pith_arxiv_id":"2012.03262","snapshot_observed_at":"2026-08-06T19:42:09.877045Z","title":"Clausius Inequality for Finite Baths Reveals Universal Efficiency Improvements","venue":"quant-ph","work_id":"724ab19f-9d19-471a-817d-ccf6b93b8285","year":2020},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.188893Z"},"links":{"cited_paper":"/paper/2012.03262","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:8ec26fa840c51745a6e2665746a53a48e79779a77543f134abfce7e3230440ad","observation_id":"63324e89-a4d9-4b05-a891-a6ab0a2c832b","resolution":{"observed_at":"2026-08-06T19:42:09.881339Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.434069Z","title":null,"venue":null,"work_id":"b9a9ffcb-4369-4b25-822a-2d20b8a11ecf","year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.192852Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:ce2f64a020b5bf3444c396fab14672900ec415c6140b337b0d895ca731ee0a13","observation_id":"e3b0580d-aedb-4939-9032-b625ff5c7295","resolution":{"observed_at":"2026-08-06T19:42:10.437874Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.16587","last_updated":"2025-02-28T09:36:10Z","snapshot_observed_at":"2026-08-04T02:53:59.375562Z","submitted_at":"2024-09-25T03:28:04Z","title":"Dichotomy in the effect of chaos on ergotropy","version":3},"cited_work":{"arxiv_id":"2409.16587","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.16587","snapshot_observed_at":"2026-08-06T19:42:09.859036Z","title":"Dichotomy in the effect of chaos on ergotropy","venue":"quant-ph","work_id":"09d1394d-718b-4812-8d2c-a4c2d0d2b1d5","year":2024},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.196702Z"},"links":{"cited_paper":"/paper/2409.16587","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:c62b9a6509c4ced7f617320fcb13232a2e411e27b597db49630268a143eed9bf","observation_id":"e0cd404c-367b-477a-9edd-5f89c376aea2","resolution":{"observed_at":"2026-08-06T19:42:09.863238Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2412.02673","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:42:09.836854Z","title":"Chakraborty, S","venue":null,"work_id":"5774c4cc-8ec3-44bc-82d0-6bd4b7383a9e","year":2024},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.201123Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:c723bbccbab6601fbd304e9cbae2bbf517695a2c1b191ac9b0c691079cc4ce16","observation_id":"6488c7d3-7788-44e8-b4ca-0babedfa4532","resolution":{"observed_at":"2026-08-06T19:42:09.843320Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.420856Z","title":"Nagasawa, K","venue":null,"work_id":"355514f6-7b1c-4e32-af8d-5f2e9dc55c61","year":2024},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.204716Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:1070eca650f5cb7e9e351b5c10ea2625fe8b5640501c9c126f333448ccdc03ff","observation_id":"2c7c7fee-6011-4e69-90e7-2db3216dfa49","resolution":{"observed_at":"2026-08-06T19:42:10.425264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2410.18167","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:42:09.761919Z","title":"Xuereb, A","venue":null,"work_id":"c71e0ad0-ef8b-4173-8df6-08036ef6a351","year":2024},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.208417Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:59ddb0800307e29a20d470f80ea34fe907b592588fb756ab36f080e36c1dc88e","observation_id":"54dd7c8d-8203-4f64-a106-63a0a8b17b9c","resolution":{"observed_at":"2026-08-06T19:42:09.768384Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.408688Z","title":"Meier, T","venue":null,"work_id":"45d1e841-48e7-4de3-a5ef-b5f1094590ab","year":2025},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.212474Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:7cc492366b81c5a639d41bb2c0721142757c6d2bbfa9827005433005c723660e","observation_id":"ecdce03a-68ad-4a92-be77-f2cd6dafad70","resolution":{"observed_at":"2026-08-06T19:42:10.412376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.15612","last_updated":"2025-03-19T18:00:30Z","snapshot_observed_at":"2026-08-07T16:50:55.550045Z","submitted_at":"2025-03-19T18:00:30Z","title":"Unification of observational entropy with maximum entropy principles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.15612","snapshot_observed_at":"2026-08-06T19:42:09.216166Z","title":"Schindler, P","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.216166Z"},"links":{"cited_paper":"/paper/2503.15612","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:3f89f6beccf901d40bb1979cb2b7a8280c9f7ce65a18e1360613f3f125c52a4c","observation_id":"a17fec2f-dc73-4a03-b91a-870382381a51","resolution":{"observed_at":"2026-08-06T19:42:09.216166Z","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":"2026-08-06T19:42:10.395925Z","title":"ˇSafr´ anek, D","venue":null,"work_id":"8c9d1ec9-1316-47f9-9c03-71f8a9c1a865","year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.220118Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:2ee5bb0acbcecf345d51e4fdebb9a47e4ce0ca03b97c8aa9b364bc65d42a8cda","observation_id":"99fb6bb2-475c-4147-957b-6e8dbc13b1e0","resolution":{"observed_at":"2026-08-06T19:42:10.399812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.383024Z","title":null,"venue":null,"work_id":"badf6dcd-d966-4adc-971e-3cf9f744d25b","year":2007},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.223681Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:334654caf0c06886ec0b0904856f13e96082b2b4b0a59011609c68574ceaf3cf","observation_id":"62119ceb-4dde-469f-8d10-81c777ce895c","resolution":{"observed_at":"2026-08-06T19:42:10.386846Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.08987","last_updated":"2023-06-15T09:29:45Z","snapshot_observed_at":"2026-08-07T14:52:56.881181Z","submitted_at":"2023-06-15T09:29:45Z","title":"Ergotropic interpretation of entanglement entropy","version":1},"cited_work":{"arxiv_id":"2306.08987","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.08987","snapshot_observed_at":"2026-08-06T19:42:09.654843Z","title":"Ergotropic interpretation of entanglement entropy","venue":"quant-ph","work_id":"e790a344-a1c4-4479-a1c2-077ab60058bd","year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.228014Z"},"links":{"cited_paper":"/paper/2306.08987","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:0131eee30df1dc379395b10d83cb4651ff3ab109f9b3ed764d77bd3e7ce106eb","observation_id":"2c698d38-d8ae-4e0f-9ebd-a1e27e9e7c8a","resolution":{"observed_at":"2026-08-06T19:42:09.659034Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.370665Z","title":"ˇSafr´ anek and D","venue":null,"work_id":"05610d1c-9cb0-4b7c-8fac-ed4f2df9cc0c","year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.232129Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:d821eca1ae386f494b58ac3ba1416318dde3c8849d3435606ad606a59962ff5c","observation_id":"a04891b6-0b55-4eca-ba35-115b3f666b75","resolution":{"observed_at":"2026-08-06T19:42:10.374444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.357810Z","title":"In- cluding higher order terms will yield better agreement with the exact formula, Eq","venue":null,"work_id":"9255c4e1-d291-45ae-ba52-5888d18715d7","year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.235882Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:332b62151772b8b36e81f77825296ef9811b59de8be1c0d02bc818565f039519","observation_id":"d624aaa2-2eba-4e0f-a470-f2a0b57ef476","resolution":{"observed_at":"2026-08-06T19:42:10.362051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.344553Z","title":null,"venue":null,"work_id":"c7be29f5-a884-48b8-beca-6ff3e8e35c25","year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.239592Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:c2c018c68d5a9debb08bf5bf94500873421a57ba9be5540b1fb527576ea52205","observation_id":"575f8321-66a4-4f90-9491-a5c14292f015","resolution":{"observed_at":"2026-08-06T19:42:10.348646Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.331933Z","title":"Yang and J.-Y","venue":null,"work_id":"3e0c730c-ff38-4b25-94ed-68135f28876b","year":2001},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.243216Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:5957fdf4d46d5b3ba4af90007b57b5b6ee19f94671d530f8bca1a265d1a7c59a","observation_id":"184e8b84-0b98-42a2-b025-5660dcc699c8","resolution":{"observed_at":"2026-08-06T19:42:10.335920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.318078Z","title":null,"venue":null,"work_id":"da2f64b8-f6eb-44aa-96cd-427a2b410710","year":2003},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.246806Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:7208e0a6c5f49a22cd86f7b4ac851d6cf08adfbfd36b582aab07ad80c75a8c74","observation_id":"6c258518-7b62-46f1-8fe4-9e118073fea3","resolution":{"observed_at":"2026-08-06T19:42:10.322278Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.305151Z","title":"Lashley, M","venue":null,"work_id":"de7f399b-e961-40b1-9f42-ed87e6c853d1","year":2003},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.250426Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:8c8e2c08a08ed82b3f73d05220049c13156d30dc21f3d778073dee65bf816a1b","observation_id":"e357c3a4-42c9-4b60-b50e-66ded787bc61","resolution":{"observed_at":"2026-08-06T19:42:10.309203Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.292572Z","title":"Liang, S","venue":null,"work_id":"2a86fd62-e99f-4118-ad34-7066cdeeab8d","year":2015},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.254089Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:9cdb019d51d07c6aab93e31201bf7825a8d114919052d8971eb6aa5f15d010e2","observation_id":"b0fb5230-e9dc-4e7a-a6d1-41e59fffd875","resolution":{"observed_at":"2026-08-06T19:42:10.296329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.279231Z","title":"Zhang, E","venue":null,"work_id":"6b822773-718a-403e-94b6-f9a03d0af042","year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.258060Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:19aeca1d67676298b1c0ebb844a27b18c865d003ccff8aa830b60e8706764605","observation_id":"36bdf6b7-61d5-4492-a2b3-6ecbbcc9d7f3","resolution":{"observed_at":"2026-08-06T19:42:10.283320Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.03841","last_updated":"2020-05-06T00:42:08Z","snapshot_observed_at":"2026-07-06T07:51:59.788418Z","submitted_at":"2019-05-09T20:22:06Z","title":"Classical dynamical coarse-grained entropy and comparison with the quantum version","version":2},"cited_work":{"arxiv_id":"1905.03841","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.03841","snapshot_observed_at":"2026-08-06T19:42:09.636178Z","title":"Classical dynamical coarse-grained entropy and comparison with the quantum version","venue":"cond-mat.stat-mech","work_id":"753e7068-0634-49ed-97f4-270af32e7110","year":2019},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.261602Z"},"links":{"cited_paper":"/paper/1905.03841","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:4fde365afb4901f8f25ce49de72711d512b8f1a5f6b294c85b71cb96f8bb3554","observation_id":"045dca66-4d5d-47c8-87d6-8edf47ea7d9b","resolution":{"observed_at":"2026-08-06T19:42:09.640872Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.14086","last_updated":"2025-03-18T18:41:05Z","snapshot_observed_at":"2026-07-06T16:36:35.423639Z","submitted_at":"2023-10-21T18:44:31Z","title":"Entropic partial orderings of quantum measurements","version":3},"cited_work":{"arxiv_id":"2310.14086","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.14086","snapshot_observed_at":"2026-08-06T19:42:09.616192Z","title":"Entropic partial orderings of quantum measurements","venue":"quant-ph","work_id":"fe7f9712-6f93-4b7f-9731-d97112422e29","year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.265563Z"},"links":{"cited_paper":"/paper/2310.14086","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:43e2a04c5ea8ef4c87fed8498bc01c9202ca7032373792ec76b75576b0a38e91","observation_id":"48cc1928-0403-45c1-9422-87e05731da04","resolution":{"observed_at":"2026-08-06T19:42:09.621328Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.00054","last_updated":"2023-09-07T19:07:24Z","snapshot_observed_at":"2026-07-06T15:36:07.713593Z","submitted_at":"2023-05-31T18:00:00Z","title":"Noncommuting conserved charges in quantum thermodynamics and beyond","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.00054","snapshot_observed_at":"2026-08-06T19:42:09.269506Z","title":"Majidy, W","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.269506Z"},"links":{"cited_paper":"/paper/2306.00054","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:c1a21435f96efafdb8d7d61dff71940eb696049b89a1a9cc57c865f2da84bd23","observation_id":"02646419-ee9f-40b4-b345-b9aa913f5231","resolution":{"observed_at":"2026-08-06T19:42:09.269506Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.07838","last_updated":"2026-06-01T12:09:37Z","snapshot_observed_at":"2026-07-06T20:04:52.625621Z","submitted_at":"2024-12-10T19:00:01Z","title":"Numerical evidence for the non-Abelian eigenstate thermalization hypothesis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.07838","snapshot_observed_at":"2026-08-06T19:42:09.273354Z","title":"Lasek, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.273354Z"},"links":{"cited_paper":"/paper/2412.07838","citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:2f3dca7ebfbaf1e04d717f7ee2e5519b496b5c39965e503e808c9859bcd85092","observation_id":"4a9edcb3-bf22-4f03-9805-df5628458962","resolution":{"observed_at":"2026-08-06T19:42:09.273354Z","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":"2026-08-06T19:42:10.265903Z","title":"ˇSafr´ anek, A","venue":null,"work_id":"1a80e318-0c33-4f80-b8b9-3ad783d1b453","year":2021},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.277596Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:d519f8a8b590e12dccae22d5202084a7fd00436f551aa7d5266fceef650cbf1b","observation_id":"a6dc20e8-3e95-460a-b369-2ac2101ea5a8","resolution":{"observed_at":"2026-08-06T19:42:10.270070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.252685Z","title":null,"venue":null,"work_id":"c4c2f019-e2f8-4ce6-8da6-ea224e6c4557","year":1997},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.281516Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:839057d27c2d6333dfc4cfaf2247b548a5ca22ec473826297b766e3669144123","observation_id":"7b08704c-1d3e-4988-afb7-1d5ca4d9c3ab","resolution":{"observed_at":"2026-08-06T19:42:10.256365Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.239354Z","title":null,"venue":null,"work_id":"b709483c-e188-4353-aab4-8543772b82a6","year":1998},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.285195Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:90b48fc44d192b8e9c42feaccc176f6bdc16d7ccd21df86df6d0ca92f9ac5cb0","observation_id":"beb0196a-ec29-43cd-9dbb-c162bf9639b4","resolution":{"observed_at":"2026-08-06T19:42:10.243265Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.226549Z","title":null,"venue":null,"work_id":"69cc82b8-bbde-4bc0-88e0-28513cf4561c","year":2004},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.289015Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:59c68e454741ec71fe2f8c1533ecd1b3012502db267c2bcc53547cfcf2a75d17","observation_id":"ff6383f6-942d-41ca-a53d-8e04485ed9cc","resolution":{"observed_at":"2026-08-06T19:42:10.230450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.213818Z","title":null,"venue":null,"work_id":"14306861-c94e-4108-872b-6a8bf2079758","year":2011},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.292659Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:2d9de20fde39b88a810c5af00b126c76f497bf5330cc6223b96de09f4aa21743","observation_id":"b806c550-10c7-42bc-b213-aff789b68da7","resolution":{"observed_at":"2026-08-06T19:42:10.217865Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.201022Z","title":"Greif, M","venue":null,"work_id":"fb4545a0-9f24-4f79-a6cc-c95cadd73484","year":2016},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.296640Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:c89ac106f6ec41a7af669b80f3c703c4d376d6c9918669b3962a2264bbfbf18c","observation_id":"f4b81981-0056-492d-b66a-0e1d083571ae","resolution":{"observed_at":"2026-08-06T19:42:10.205082Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:09.300341Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.300341Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:487bc8f5de330d412795fbe90cde65c8d58995c513b704d8b1ea823b067af3b6","observation_id":"a164c1a6-bf05-4fa1-aef1-f32ff8b34fb9","resolution":{"observed_at":"2026-08-06T19:42:09.300341Z","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":"2026-08-06T19:42:10.179264Z","title":null,"venue":null,"work_id":"86702ba6-f597-4e6c-b67e-9fd7bce0682e","year":null},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.304056Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:b6c796ef1ebf3f50d4450f4f6cbeb2a06432cd0de53e0e41ce6bc167af73a5d9","observation_id":"d90cabaa-0288-45a0-bb98-4463925d373b","resolution":{"observed_at":"2026-08-06T19:42:10.182835Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.167107Z","title":"ˇSafr´ anek, D","venue":null,"work_id":"a71d85e7-40fd-4d14-b325-8e5bd1585aa1","year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.307860Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:c687abf4348554d0188b0439bf72829a44ebf5ef910632da20f3af1d1fd545d3","observation_id":"e783a556-734b-4bcd-8c5c-e4179e99ea07","resolution":{"observed_at":"2026-08-06T19:42:10.170803Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.154417Z","title":"Sagawa, Thermodynamics of Information Processing in Small Systems, Vol","venue":null,"work_id":"f44568fb-f7c9-446a-8891-709460b552de","year":2012},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.311613Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:31f6d0f14e7e668a036b9a8567182c2e554ee857d952b8c7ed49acdca7c60f54","observation_id":"92c8f514-daac-4e68-ab46-0b4410a394f2","resolution":{"observed_at":"2026-08-06T19:42:10.158305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:09.315323Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.315323Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:27c350fa6830598f16abd1bee04ba4672659353e519ac0b0c001e85d481aec09","observation_id":"6491542b-a46f-45c4-ad20-aa8f15d82567","resolution":{"observed_at":"2026-08-06T19:42:09.315323Z","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":"2026-08-06T19:42:10.133069Z","title":null,"venue":null,"work_id":"d8654fa3-167d-48ba-b0cf-8addaa488e4f","year":2021},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.319321Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:aa30ec9792f33dbf96322fe1922f6562a1df4fe7a639b5cab47c5f11750c9e1c","observation_id":"b8e9aeb6-c54e-4b61-a729-25d6c1495109","resolution":{"observed_at":"2026-08-06T19:42:10.136610Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.119554Z","title":"B´ erut, A","venue":null,"work_id":"e4026da9-4e36-4fbe-a21c-31ae66784829","year":2012},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.322915Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:a8d5053c0b2bafca952299d97975cb52f4263f90c9c4d4a0d9cf4112caf475f7","observation_id":"bf959017-5038-4e03-bbb9-f408ec5a4e8e","resolution":{"observed_at":"2026-08-06T19:42:10.124081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.1406966111","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:42:09.399700Z","title":null,"venue":null,"work_id":"2a0677dc-7f33-4a8f-886c-c1a14bcbcbde","year":2014},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.326622Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:9ecee61a0522f8d91c1901c3280d0cb512c8ea1864b84a20f5fb30d8eddf1351","observation_id":"01d07d5f-2eab-4446-8301-9057d145bcfb","resolution":{"observed_at":"2026-08-06T19:42:09.404841Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:09.330406Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.330406Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:c75555aa4d3401140dc5ac71ae8b7b52b22fcdd882dc9bbfc1a6e34e57254506","observation_id":"5191d5e6-ecf3-4cd8-b6c5-3e4375be1150","resolution":{"observed_at":"2026-08-06T19:42:09.330406Z","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":"2026-08-06T19:42:10.105892Z","title":null,"venue":null,"work_id":"3d7bb6af-9704-4e6e-aa4d-b110568fd7d3","year":2016},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.334029Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:b51bd9928e0e3d51c92905d5f819db4fb60e523b6bc1f35981fe56b52718a886","observation_id":"74ac040d-495b-4999-8cfd-5a39fb06645f","resolution":{"observed_at":"2026-08-06T19:42:10.110169Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.093437Z","title":null,"venue":null,"work_id":"de96ee64-6521-4dc8-8807-c31d61648ab7","year":2017},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.337706Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:c2216b2c14d067a27685844220f18ed570d13567656dc1d47e5a6b2ee0b6f8f5","observation_id":"fd57a7c0-e32a-431d-a346-4015ffce6a52","resolution":{"observed_at":"2026-08-06T19:42:10.097190Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.080334Z","title":"Masuyama, K","venue":null,"work_id":"917c8811-3d66-487e-8a13-48b2258058a0","year":2018},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.341432Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:9b4e96243d881681d76294451ef4dcd29f979aed2d47bca8d7c4f43762f90b1d","observation_id":"0b00121c-39d0-49d0-9042-b5e8be97ef03","resolution":{"observed_at":"2026-08-06T19:42:10.084221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.067575Z","title":"Van Horne, D","venue":null,"work_id":"d23da6c1-4d1a-4d14-8f49-e3ed28749322","year":2020},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.345216Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:d1bfc30063da5b05d34f75a52412de8aee3b12a05680982a5f0604eefd9451c0","observation_id":"69be6b44-1fcc-49fa-b74c-158afd2b91fb","resolution":{"observed_at":"2026-08-06T19:42:10.071402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.054034Z","title":"Marathe and J","venue":null,"work_id":"73544c93-021a-4f02-ab9c-00552c599948","year":2010},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.349302Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:43736d4a43cb5ba049715689830451b7d31140ba05f5e3a62c0a79b5c62813a2","observation_id":"b971dd88-8b0d-4825-8612-e6746b53826b","resolution":{"observed_at":"2026-08-06T19:42:10.058490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:09.353196Z","title":"Admon, S","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.353196Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:e70a35af54c9a6b0b17aad9c6584e19974f6531fb215293f82d88741f19f8757","observation_id":"97274452-e6be-48e9-b1fb-8e011a169aee","resolution":{"observed_at":"2026-08-06T19:42:09.353196Z","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":"2026-08-06T19:42:10.031834Z","title":"Vaikuntanathan and C","venue":null,"work_id":"24b8dd76-6a2b-4169-babb-9e7c81b887b5","year":2011},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.356979Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:e74dd9b12f7ba771110901f52dd2cd1eb02b60a560965434b0913c49c18f573a","observation_id":"db61a891-c84b-4700-bea0-daa0fb0a4170","resolution":{"observed_at":"2026-08-06T19:42:10.035667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:10.018586Z","title":"Ito and T","venue":null,"work_id":"cc858d66-d844-4977-b66d-96896e2913ad","year":2013},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.360596Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:9855c9910959a9754c1a35b4c97edaba749f148ebe5fe29bcd94dacc43e65b63","observation_id":"35de028a-fb4d-4eb1-b7b7-9c3dd3af2c60","resolution":{"observed_at":"2026-08-06T19:42:10.022849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:42:09.364395Z","title":"Malgaretti and H","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.364395Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:c501f35ee53e204d97e37c95b97b7b9a6333ee365c5f30cbd3167fc64ae839f1","observation_id":"6cdf6e66-2c9f-41f2-be61-33af81322c6e","resolution":{"observed_at":"2026-08-06T19:42:09.364395Z","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":"2026-08-06T19:42:09.996317Z","title":null,"venue":null,"work_id":"bef15eb0-7082-4982-8dbf-e8d6d356c5f9","year":2023},"citing_paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:09.368576Z"},"links":{"citing_paper":"/paper/2507.05054"},"observation_digest":"sha256:00dcfdf1492c52fc3a8899811032572db42cc733d9ba2d19ae3dd1f3c552b232","observation_id":"cd730c3e-4099-4c35-8603-8432c0394013","resolution":{"observed_at":"2026-08-06T19:42:10.000539Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.05054","last_updated":"2025-07-07T14:38:40Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-06T19:30:45.917712Z","submitted_at":"2025-07-07T14:38:40Z","title":"Work and entropy of mixing in isolated quantum systems"},"reference_resolution":{"displayed":96,"state_counts":{"malformed_identifier":1,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":48,"verified_exact":11,"verified_fuzzy":35},"total_outbound_references":96},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 96 of 96 outbound references and 0 inbound Pith citation observations for arXiv:2507.05054."}