{"as_of":"2026-08-20T11:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3893509131cc0d7be6067809d99dae07a196c3ca9597bb850ea919e7e4d8d4cc","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T04:24:11.652998Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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/2502.03624/citation-record","integrity":"/paper/2502.03624/integrity","json":"/paper/2502.03624/citation-record.json","paper":"/paper/2502.03624"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T04:24:12.083648Z","title":"Bayen, M","venue":null,"work_id":"5b07a656-3efe-46f0-8010-8bc3124e59e2","year":1978},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.537146Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:0b8784c02040d66a4f7e0d82c04cee6a1aee55e5d436bd5165a4751ad07bca45","observation_id":"a44a6d29-d8a6-404f-9700-cd0bf46a7f50","resolution":{"observed_at":"2026-08-09T04:24:12.088269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T04:24:12.068801Z","title":"Inonu and E","venue":null,"work_id":"97b0f6df-ee81-4ab8-8f5b-a67cdc5d4df1","year":1953},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.542950Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:b30d128c2e0ff78970a11e906cb205f2c38b149b68be6a495e849782e1cb8bf6","observation_id":"fbcfddc2-0e15-4700-abe6-e9eb60098663","resolution":{"observed_at":"2026-08-09T04:24:12.073757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.11327","last_updated":"2019-01-31T12:25:33Z","snapshot_observed_at":"2026-08-14T17:23:01.752589Z","submitted_at":"2019-01-31T12:25:33Z","title":"Convergence of Star Product: From Examples to a General Framework","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.11327","snapshot_observed_at":"2026-08-09T04:24:11.548246Z","title":"Waldmann, Convergence of Star Product: From Examples to a General Fram ework, EMS Surv","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.548246Z"},"links":{"cited_paper":"/paper/1901.11327","citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:b3588d396a91ae685fd0c24b3bb43421083b08ca690c82b174685273a76dd15e","observation_id":"072d83a0-6fdd-4260-b1ac-287bbaa6fcb1","resolution":{"observed_at":"2026-08-09T04:24:11.548246Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0011137","last_updated":"2001-02-27T20:50:30Z","snapshot_observed_at":"2026-08-17T08:36:38.106446Z","submitted_at":"2000-11-15T15:41:32Z","title":"Generating All Wigner Functions","version":2},"cited_work":{"arxiv_id":"hep-th/0011137","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0011137","snapshot_observed_at":"2026-08-09T04:24:11.844424Z","title":"Generating All Wigner Functions","venue":"hep-th","work_id":"556612ab-a98e-4b0b-ac50-3b056d4e4d04","year":2000},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.554376Z"},"links":{"cited_paper":"/paper/hep-th/0011137","citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:25688a824cb37ab12154ee381465516df48d8bc899b7a5752dd02b0ec797e2fe","observation_id":"b3f215ef-ba34-4fb2-9121-7b6df0f887be","resolution":{"observed_at":"2026-08-09T04:24:11.850357Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T04:24:12.052093Z","title":"Glimm and A","venue":null,"work_id":"bec861fb-4a81-41af-abf1-e3a8c36474d8","year":1987},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.560366Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:8bd5d433adc4b09fbf57ee669bfc5db73505a2abc38cef6988b3567c2a1c6113","observation_id":"36ab8f5b-c0f6-4948-8ef0-acacc40a9f82","resolution":{"observed_at":"2026-08-09T04:24:12.058037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.08815","last_updated":"2024-04-18T18:17:44Z","snapshot_observed_at":"2026-08-16T14:01:18.673655Z","submitted_at":"2024-04-12T21:15:25Z","title":"Star exponentials from propagators and path integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.08815","snapshot_observed_at":"2026-08-09T04:24:11.566771Z","title":"Berra-Montiel, H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.566771Z"},"links":{"cited_paper":"/paper/2404.08815","citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:8397a2a8e99ae77cb6bfc0353f094d530352451babc2b6117d46d968aeb46f35","observation_id":"f7f94a94-be8d-4b6e-88e0-357300898cb6","resolution":{"observed_at":"2026-08-09T04:24:11.566771Z","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":"2026-08-09T04:24:12.036158Z","title":"Sharan, Star-product representation of path integrals , Phys","venue":null,"work_id":"e88fb9c8-c3cb-4c5c-9694-bb38bc752781","year":1979},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.573670Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:89dd6a1095cd6ff3651855c658f9745fa7fbd3130c54f565ddc23b8bf8fc0db6","observation_id":"c9237863-03d1-40ef-9cdc-cb75bcb0f231","resolution":{"observed_at":"2026-08-09T04:24:12.041630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T04:24:12.020458Z","title":"Wigner, On the Quantum Correction For Thermodynamic Equilibrium , Phys","venue":null,"work_id":"bf45f007-8dba-45ea-96dc-b0d664fc4a8d","year":1932},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.579310Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:182c028fd2c254b052b298fccdfbd730391c088330a1c05fd772f19d08bb602a","observation_id":"d4336924-5544-406a-a4c3-111df01cf2ff","resolution":{"observed_at":"2026-08-09T04:24:12.025470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T04:24:12.004743Z","title":null,"venue":null,"work_id":"e1252695-159c-4abd-b308-ecfdcedb0cb0","year":2008},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.584956Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:8744bcec1e67d725c49dbca3e0f0e270488ac6b2aa53b42f11e99ed9b8997bc9","observation_id":"81fde4db-34f9-4a19-a786-c87f76f2c39a","resolution":{"observed_at":"2026-08-09T04:24:12.009745Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1209.1850","last_updated":"2012-09-09T22:49:09Z","snapshot_observed_at":"2026-08-15T00:47:20.040500Z","submitted_at":"2012-09-09T22:49:09Z","title":"Quantum mechanics in phase space: The Schr\\\"odinger and the Moyal representations","version":1},"cited_work":{"arxiv_id":"1209.1850","doi":null,"metadata_source":"pith","pith_arxiv_id":"1209.1850","snapshot_observed_at":"2026-08-09T04:24:11.800593Z","title":"Quantum mechanics in phase space: The Schr\\\"odinger and the Moyal representations","venue":"math-ph","work_id":"2c061919-f803-457e-97e6-03c2e2c35797","year":2012},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.590254Z"},"links":{"cited_paper":"/paper/1209.1850","citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:958a7fefc9911619e6e3149ccd75eefa6a7bc721292a5e2bbf16972b2699a34e","observation_id":"64e5b168-ab51-4bc3-943b-906721eff9c4","resolution":{"observed_at":"2026-08-09T04:24:11.806872Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T04:24:11.985956Z","title":"Reed and B","venue":null,"work_id":"8dfa4207-f02a-440b-a0c2-00f5882d9ff9","year":1980},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.595612Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:4b8f374ecd7f4f5fd8eb1c3dd89f594d07ed4a47e54406792d3a3d042a2dd9a1","observation_id":"52910984-b0bb-4003-ad68-7a42de49749c","resolution":{"observed_at":"2026-08-09T04:24:11.991036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T04:24:11.968436Z","title":null,"venue":null,"work_id":"a7884450-b5f5-4d63-9309-95c64d900ea5","year":2014},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.601249Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:3c8a128cc6e79248116f6a40f2155964803c95b619bc3ff54d16abe7f873425f","observation_id":"adf5d781-a349-4b06-976a-f074cce241d5","resolution":{"observed_at":"2026-08-09T04:24:11.974292Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T04:24:11.949503Z","title":null,"venue":null,"work_id":"6072feff-a604-482f-935e-18ae7d311df5","year":1989},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.606819Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:283f26ac3674588a09629bf78927b16572559a4736a3599ea6b50819a1c813a3","observation_id":"47829dad-793e-4455-8fd2-720286fe2742","resolution":{"observed_at":"2026-08-09T04:24:11.954746Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"q-alg/9709040","last_updated":"1997-09-29T10:27:51Z","snapshot_observed_at":"2026-08-08T03:17:19.914669Z","submitted_at":"1997-09-29T10:27:51Z","title":"Deformation quantization of Poisson manifolds, I","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"q-alg/9709040","snapshot_observed_at":"2026-08-09T04:24:11.611273Z","title":"Kontsevich, Deformation Quantization of Poisson Manifolds , Lett","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.611273Z"},"links":{"cited_paper":"/paper/q-alg/9709040","citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:2d4a8340881cda2375f499f5238b54c45551bccdf15ae285f6ef592ac2594d99","observation_id":"432c3ac1-4beb-4b5e-a975-d576aed98db1","resolution":{"observed_at":"2026-08-09T04:24:11.611273Z","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":"2026-08-09T04:24:11.932452Z","title":"Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer P hysics, and Financial Markets, (World Scientific, Singapore, 2006)","venue":null,"work_id":"39622e24-5e84-43bb-90b5-69f002d57677","year":2006},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.616144Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:29c6a3e9adcfadc8bcda58a14c6b83ea0042cf8ba66102684b6f91dc0d320403","observation_id":"9b9dc2c6-ac5d-42bb-814e-9b398c99222b","resolution":{"observed_at":"2026-08-09T04:24:11.938240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T04:24:11.913512Z","title":"Dito, Star-product approach to quantum field theory: The free scal ar field , Lett","venue":null,"work_id":"91141fbb-585c-46b9-a626-370b9d4154cd","year":1990},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.620602Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:34ca1d1b836aecd15d509c2c8370d1bc379ece266d249f6f3abca24860c1020e","observation_id":"51072368-02fd-4cfd-8eaf-ee2b998f5454","resolution":{"observed_at":"2026-08-09T04:24:11.919345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.02483","last_updated":"2020-07-06T00:51:11Z","snapshot_observed_at":"2026-08-13T22:13:14.369511Z","submitted_at":"2020-07-06T00:51:11Z","title":"Star product representation of coherent state path integrals","version":1},"cited_work":{"arxiv_id":"2007.02483","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.02483","snapshot_observed_at":"2026-08-09T04:24:11.758684Z","title":"Star product representation of coherent state path integrals","venue":"quant-ph","work_id":"4a351b79-a193-4166-a021-8542d7f6754a","year":2020},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.625142Z"},"links":{"cited_paper":"/paper/2007.02483","citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:25de2d05740ea1bf9f31be0158de5b1a0a95ae2d4f198f59d0c54071b25ebac0","observation_id":"808f0a98-7446-43c8-96db-42dc69f87886","resolution":{"observed_at":"2026-08-09T04:24:11.764646Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0504166","last_updated":"2005-04-20T11:29:11Z","snapshot_observed_at":"2026-07-07T04:53:52.032041Z","submitted_at":"2005-04-20T11:29:11Z","title":"Deformation Quantization and Wigner Functions","version":1},"cited_work":{"arxiv_id":"hep-th/0504166","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0504166","snapshot_observed_at":"2026-08-09T04:24:11.731571Z","title":"Deformation Quantization and Wigner Functions","venue":"hep-th","work_id":"4e9538db-967c-4f98-820e-a014f357b208","year":2005},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.630555Z"},"links":{"cited_paper":"/paper/hep-th/0504166","citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:28fad649df104ea1a0f1ac9363764cc71164917cf5061f734aaaff30e1c7956d","observation_id":"2fb252df-e429-4726-ad85-8f2ca054bfd7","resolution":{"observed_at":"2026-08-09T04:24:11.739443Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0110114","last_updated":"2002-01-09T19:16:25Z","snapshot_observed_at":"2026-07-07T04:41:26.759902Z","submitted_at":"2001-10-12T16:25:41Z","title":"Deformation Quantization: Quantum Mechanics Lives and Works in Phase-Space","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0110114","snapshot_observed_at":"2026-08-09T04:24:11.636393Z","title":"Zachos, Deformation Quantization: Quantum Mechanics lives and wor ks in phase-space , Int","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.636393Z"},"links":{"cited_paper":"/paper/hep-th/0110114","citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:7b9c3a9c78094d30383c9d4d9083653c6d3ac0025c05811e763bba045b3e1070","observation_id":"50bbd418-d2b2-4500-a0be-9e3630f6c8d7","resolution":{"observed_at":"2026-08-09T04:24:11.636393Z","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":"2026-08-09T04:24:11.898436Z","title":"Omori, Y","venue":null,"work_id":"cf333690-5dd0-445e-82b7-c7e1ddc068d2","year":2002},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.642534Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:b5ef0e26b15f1d74c54b475a9ffb267cd7f6fa174587c30cd10e277342038cc1","observation_id":"9007354c-6a87-45f7-af6f-d0743b2d6f9c","resolution":{"observed_at":"2026-08-09T04:24:11.902831Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T04:24:11.882287Z","title":"Basart and A","venue":null,"work_id":"ce9bed37-bf06-45ec-bbad-f21cfc42634b","year":1985},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.647776Z"},"links":{"citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:5d08e87fd33d932eee3b86ddd17cb29deb37b9266b6b8cfa407e4618eddd5e08","observation_id":"49db7ece-6c8e-40f7-8b2a-c41908f31ac4","resolution":{"observed_at":"2026-08-09T04:24:11.887038Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0510150","last_updated":"2005-10-19T12:03:34Z","snapshot_observed_at":"2026-08-12T06:05:03.494996Z","submitted_at":"2005-10-19T12:03:34Z","title":"The damped harmonic oscillator in deformation quantization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0510150","snapshot_observed_at":"2026-08-09T04:24:11.652998Z","title":"Ditto and F","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T04:24:11.652998Z"},"links":{"cited_paper":"/paper/quant-ph/0510150","citing_paper":"/paper/2502.03624"},"observation_digest":"sha256:4a328f9587b816f178f520bad94446e5a6717280d3f1a3c123f203e426fd5648","observation_id":"63e4e91c-e63b-481b-a5e8-a7dd36043c0c","resolution":{"observed_at":"2026-08-09T04:24:11.652998Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2502.03624","last_updated":"2025-02-05T21:18:28Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-13T01:15:09.063310Z","submitted_at":"2025-02-05T21:18:28Z","title":"The Feynman-Kac formula in deformation quantization"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":4,"verified_fuzzy":10},"total_outbound_references":22},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2502.03624."}