{"as_of":"2026-08-12T20:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:21043c6010a30d40503ef1e89f70770ef22a4baa583dd12d7d183f967674992f","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T15:18:34.913055Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-01T16:35:49.961632Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.17599","last_updated":"2025-04-24T14:24:49Z","snapshot_observed_at":"2026-08-07T15:59:29.475473Z","submitted_at":"2025-04-24T14:24:49Z","title":"Dynamical gauge invariance of statistical mechanics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.17599","snapshot_observed_at":"2026-08-04T15:18:34.913055Z","title":"M¨ uller, F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.20494","last_updated":"2026-07-15T14:35:18Z","snapshot_observed_at":"2026-08-12T11:58:59.915582Z","submitted_at":"2025-09-24T19:10:56Z","title":"Quantum statistical mechanical gauge invariance","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T15:18:34.913055Z"},"links":{"cited_paper":"/paper/2504.17599","citing_paper":"/paper/2509.20494"},"observation_digest":"sha256:22f051651c3de61ff44942dd3dd71c319f4aeedeefea7b081b590923bc3c1440","observation_id":"a3a049c9-5458-45bf-8566-136e4d3d8447","resolution":{"observed_at":"2026-08-04T15:18:34.913055Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.17599","last_updated":"2025-04-24T14:24:49Z","snapshot_observed_at":"2026-08-07T15:59:29.475473Z","submitted_at":"2025-04-24T14:24:49Z","title":"Dynamical gauge invariance of statistical mechanics","version":1},"cited_work":{"arxiv_id":"2504.17599","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.17599","snapshot_observed_at":"2026-07-01T16:35:49.961632Z","title":"M¨ uller, F","venue":null,"work_id":"a0d871b5-7c34-48a4-b126-780b676b05c4","year":null},"citing_paper":{"arxiv_id":"2605.26650","last_updated":"2026-07-22T20:00:56Z","snapshot_observed_at":"2026-08-06T21:36:17.686356Z","submitted_at":"2026-05-26T07:32:43Z","title":"Quantum statistical mechanics: Gauge invariance, operator shifting, hyperdensity functionals, and nonequilibrium sum rules","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-01T16:32:13.185705Z"},"links":{"cited_paper":"/paper/2504.17599","citing_paper":"/paper/2605.26650"},"observation_digest":"sha256:ae7ffb054f85e09bca3e76d53c0e661daecd6a6ba12739e123dbcb7c9b36192e","observation_id":"5f1a18d8-d2ca-4582-9a8f-fae3fe89c1e1","resolution":{"observed_at":"2026-07-01T16:35:49.963359Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.17599","last_updated":"2025-04-24T14:24:49Z","snapshot_observed_at":"2026-08-07T15:59:29.475473Z","submitted_at":"2025-04-24T14:24:49Z","title":"Dynamical gauge invariance of statistical mechanics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.17599","snapshot_observed_at":"2026-08-02T13:18:56.882101Z","title":"M¨ uller, F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.26650","last_updated":"2026-07-22T20:00:56Z","snapshot_observed_at":"2026-08-06T21:36:17.686356Z","submitted_at":"2026-05-26T07:32:43Z","title":"Quantum statistical mechanics: Gauge invariance, operator shifting, hyperdensity functionals, and nonequilibrium sum rules","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T13:18:56.882101Z"},"links":{"cited_paper":"/paper/2504.17599","citing_paper":"/paper/2605.26650"},"observation_digest":"sha256:74f3dd12f53c1256a201388eb7f26b2dc25501cf6a11aea4dc8d3a3b8d31124c","observation_id":"9b22922a-0942-4a51-9eca-1477fdc500c0","resolution":{"observed_at":"2026-08-02T13:18:56.882101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.17599","last_updated":"2025-04-24T14:24:49Z","snapshot_observed_at":"2026-08-07T15:59:29.475473Z","submitted_at":"2025-04-24T14:24:49Z","title":"Dynamical gauge invariance of statistical mechanics","version":1},"cited_work":{"arxiv_id":"2504.17599","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.17599","snapshot_observed_at":"2026-07-01T16:35:49.961632Z","title":"M¨ uller, F","venue":null,"work_id":"a0d871b5-7c34-48a4-b126-780b676b05c4","year":null},"citing_paper":{"arxiv_id":"2605.31479","last_updated":"2026-08-06T10:14:34Z","snapshot_observed_at":"2026-08-09T23:09:45.498674Z","submitted_at":"2026-05-29T16:06:56Z","title":"Nonequilibrium scaling of drag forces in counterdriven fluid mixtures","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-28T19:59:51.788430Z"},"links":{"cited_paper":"/paper/2504.17599","citing_paper":"/paper/2605.31479"},"observation_digest":"sha256:a2c579799529b51f7602ff853e95a1298ec68fa9379cc0949e9df943a2c5e734","observation_id":"1e5799a3-b50f-4fed-ad81-3499ed92c59f","resolution":{"observed_at":"2026-06-28T20:12:37.875146Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.17599","last_updated":"2025-04-24T14:24:49Z","snapshot_observed_at":"2026-08-07T15:59:29.475473Z","submitted_at":"2025-04-24T14:24:49Z","title":"Dynamical gauge invariance of statistical mechanics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.17599","snapshot_observed_at":"2026-08-01T13:05:37.495992Z","title":"M¨ uller, F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.19255","last_updated":"2026-07-21T16:28:54Z","snapshot_observed_at":"2026-08-07T06:45:01.685614Z","submitted_at":"2026-07-21T16:28:54Z","title":"Entropy power functional theory for Brownian many-body dynamics","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-01T13:05:37.495992Z"},"links":{"cited_paper":"/paper/2504.17599","citing_paper":"/paper/2607.19255"},"observation_digest":"sha256:57e277470a7fe6b2fd7884872bb7c349ded6d1f8e1097c0c0f25deba868517f4","observation_id":"363ac52f-7f1f-4c96-9d69-5b733167c79d","resolution":{"observed_at":"2026-08-01T13:05:37.495992Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2504.17599/citation-record","integrity":"/paper/2504.17599/integrity","json":"/paper/2504.17599/citation-record.json","paper":"/paper/2504.17599"},"outbound":[],"paper":{"arxiv_id":"2504.17599","last_updated":"2025-04-24T14:24:49Z","latest_version":1,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-07T15:59:29.475473Z","submitted_at":"2025-04-24T14:24:49Z","title":"Dynamical gauge invariance of statistical mechanics"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2504.17599."}