{"as_of":"2026-08-07T17:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2f7fe026298363b7d99cbe66fa7b6dfa2777a76784f010787bac232470f98593","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T01:01:51.831715Z","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":"2026-07-01T23:26:23.391779Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1609.06636","last_updated":"2019-04-24T20:34:42Z","snapshot_observed_at":"2026-07-06T05:11:40.443754Z","submitted_at":"2016-09-21T16:57:45Z","title":"Quantum Approximate Markov Chains are Thermal","version":3},"cited_work":{"arxiv_id":"1609.06636","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1609.06636","snapshot_observed_at":"2026-07-01T23:26:23.391779Z","title":"Kato and F","venue":null,"work_id":"3eeb5075-e216-45fa-82de-8a735a9da873","year":2016},"citing_paper":{"arxiv_id":"2402.18500","last_updated":"2025-10-03T06:21:22Z","snapshot_observed_at":"2026-07-06T17:36:56.979448Z","submitted_at":"2024-02-28T17:28:01Z","title":"Conditional Independence of 1D Gibbs States with Applications to Efficient Learning","version":4},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-24T03:27:58.703189Z"},"links":{"cited_paper":"/paper/1609.06636","citing_paper":"/paper/2402.18500"},"observation_digest":"sha256:8bfff3af3c2edcec7af44cf51fdc26ffea0f282b75c07bc5d8fd9f51adf6bcdf","observation_id":"34a07c57-4a64-4632-840a-3aa4b4b3eb07","resolution":{"observed_at":"2026-05-24T03:28:50.192533Z","resolver_source":"arxiv_id","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1609.06636","last_updated":"2019-04-24T20:34:42Z","snapshot_observed_at":"2026-07-06T05:11:40.443754Z","submitted_at":"2016-09-21T16:57:45Z","title":"Quantum Approximate Markov Chains are Thermal","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1609.06636","snapshot_observed_at":"2026-08-06T01:01:51.831715Z","title":"Kato \\ and\\ author F","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2508.03993","last_updated":"2025-08-06T00:52:29Z","snapshot_observed_at":"2026-08-07T08:39:30.908980Z","submitted_at":"2025-08-06T00:52:29Z","title":"Thermalization with partial information","version":1},"reference_index":119,"source":"arxiv_source","source_observed_at":"2026-08-06T01:01:51.831715Z"},"links":{"cited_paper":"/paper/1609.06636","citing_paper":"/paper/2508.03993"},"observation_digest":"sha256:69a55319f00b5ca315eb31bfdc212b8b59fc8cd76d21abc7ececbd83e666a14b","observation_id":"1807a72e-e8e3-42cd-8953-3d4f263e3bac","resolution":{"observed_at":"2026-08-06T01:01:51.831715Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1609.06636","last_updated":"2019-04-24T20:34:42Z","snapshot_observed_at":"2026-07-06T05:11:40.443754Z","submitted_at":"2016-09-21T16:57:45Z","title":"Quantum Approximate Markov Chains are Thermal","version":3},"cited_work":{"arxiv_id":"1609.06636","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1609.06636","snapshot_observed_at":"2026-07-01T23:26:23.391779Z","title":"Kato and F","venue":null,"work_id":"3eeb5075-e216-45fa-82de-8a735a9da873","year":2016},"citing_paper":{"arxiv_id":"2606.02555","last_updated":"2026-06-08T05:12:17Z","snapshot_observed_at":"2026-07-06T23:42:58.036516Z","submitted_at":"2026-06-01T17:51:09Z","title":"Strong-to-Weak Spontaneous Symmetry Breaking","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-06-28T14:16:27.400490Z"},"links":{"cited_paper":"/paper/1609.06636","citing_paper":"/paper/2606.02555"},"observation_digest":"sha256:3921da330c207ed75823722a06000b98eea4c87fff8de06988529f3e79720a8d","observation_id":"0df0bff9-d121-4127-9ed2-c5d89a67d36f","resolution":{"observed_at":"2026-07-01T23:26:23.394276Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1609.06636/citation-record","integrity":"/paper/1609.06636/integrity","json":"/paper/1609.06636/citation-record.json","paper":"/paper/1609.06636"},"outbound":[],"paper":{"arxiv_id":"1609.06636","last_updated":"2019-04-24T20:34:42Z","latest_version":3,"primary_category":"quant-ph","snapshot_observed_at":"2026-07-06T05:11:40.443754Z","submitted_at":"2016-09-21T16:57:45Z","title":"Quantum Approximate Markov Chains are Thermal"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1609.06636."}