{"as_of":"2026-08-08T05:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7697305081bb75a73ed235a230fcb805c123260694ee2896ff9588337115ac87","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T18:52:54.745486Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2608.06047/citation-record","integrity":"/paper/2608.06047/integrity","json":"/paper/2608.06047/citation-record.json","paper":"/paper/2608.06047"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T18:52:55.394276Z","title":null,"venue":null,"work_id":"3de23804-b507-458d-bf5a-95122a63150f","year":1965},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.593978Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:54082dd0f88e280e140a1c8da04ee4dc83a252052af7eec965ed9935007c444e","observation_id":"8fbdbd83-fef6-4dbc-bbd7-0009db8f6697","resolution":{"observed_at":"2026-08-07T18:52:55.398397Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T18:52:55.381571Z","title":"Coleman,The fate of the false vacuum","venue":null,"work_id":"a6cf08c0-84f7-4bd5-a203-0867f0e44b09","year":1977},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.598912Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:7717454d2cccdeb9d8c35d4b2fa52376c539254d43fc2380710a761a5905e783","observation_id":"c7623509-23df-47b7-98e6-1f20985d7d44","resolution":{"observed_at":"2026-08-07T18:52:55.385940Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T18:52:55.369748Z","title":"Coleman,Aspects of Symmetry: Selected Erice Lectures","venue":null,"work_id":"c0ee7b59-11fc-49d0-b702-3b21a3eefb17","year":1985},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.603421Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:3f9e188d9f1969be2c71ffc1fb1797e612fd06607cccd4017876bf0956a0202d","observation_id":"fdc37d24-926c-4e2c-830f-61d04b243a9e","resolution":{"observed_at":"2026-08-07T18:52:55.373832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"quant-ph/0501136","last_updated":"2005-02-11T17:07:46Z","snapshot_observed_at":"2026-07-07T07:18:16.393306Z","submitted_at":"2005-01-24T20:03:08Z","title":"Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0501136","snapshot_observed_at":"2026-08-07T18:52:54.607468Z","title":"Zinn-Justin and U","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.607468Z"},"links":{"cited_paper":"/paper/quant-ph/0501136","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:10121fad7f08dc31fad287eb7aa7c95401c304e34b26bb22df9662bc53f3984e","observation_id":"2a48d484-4112-4474-8518-932729a94186","resolution":{"observed_at":"2026-08-07T18:52:54.607468Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1009.6032","last_updated":"2010-09-30T03:27:58Z","snapshot_observed_at":"2026-07-06T02:16:05.048610Z","submitted_at":"2010-09-30T03:27:58Z","title":"A New Look At The Path Integral Of Quantum Mechanics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1009.6032","snapshot_observed_at":"2026-08-07T18:52:54.612082Z","title":"Witten,A New Look At The Path Integral Of Quantum Mechanics,1009.6032","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.612082Z"},"links":{"cited_paper":"/paper/1009.6032","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:beb275132400e8e664752739b5e3e3c5369f4a5b1dfe9a557d129842a8923756","observation_id":"3b69b1c1-26e2-4a6a-b198-a3f9c86ecc5b","resolution":{"observed_at":"2026-08-07T18:52:54.612082Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.00379","last_updated":"2020-10-16T15:03:26Z","snapshot_observed_at":"2026-08-05T12:40:57.445778Z","submitted_at":"2020-08-02T02:06:24Z","title":"On exact-WKB analysis, resurgent structure, and quantization conditions","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.00379","snapshot_observed_at":"2026-08-07T18:52:54.616822Z","title":"Sueishi, S","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.616822Z"},"links":{"cited_paper":"/paper/2008.00379","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:e60a75908a4d4699bf20690e4e3e431994b794a078e1e1fde619552f6d47126d","observation_id":"5f7f541a-f961-4b1e-b636-f21437fce6d7","resolution":{"observed_at":"2026-08-07T18:52:54.616822Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.06586","last_updated":"2021-03-19T13:52:14Z","snapshot_observed_at":"2026-07-06T10:48:55.513059Z","submitted_at":"2021-03-11T10:32:12Z","title":"Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on $S^1$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.06586","snapshot_observed_at":"2026-08-07T18:52:54.621305Z","title":"Sueishi, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.621305Z"},"links":{"cited_paper":"/paper/2103.06586","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:142531eb33aab38c7ee895c4d833479ec5bff154c80b3fab7fb8906ad380232b","observation_id":"e589cb88-e85e-4083-b6e7-eadee9a8ab48","resolution":{"observed_at":"2026-08-07T18:52:54.621305Z","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":"2026-08-07T18:52:55.357852Z","title":"Voros,The return of the quartic oscillator: The complex wkb method,Ann","venue":null,"work_id":"02cb93e8-de41-4e9c-88e9-791e18420894","year":1983},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.625888Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:c83a3e8a492434f3f95a3f1aa2ebdede8f137e650350a7eca7455a0083ecf42a","observation_id":"712035bf-b05f-4fad-9c52-b1740caa3796","resolution":{"observed_at":"2026-08-07T18:52:55.362058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T18:52:55.345821Z","title":null,"venue":null,"work_id":"00a0d3ef-f740-4eab-8d2c-b2ddc3b838d4","year":1985},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.629586Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:3b89b20aea3410345ec5b8c61e684267573cd9ea7b70a3c5b04ecee7f3d4a222","observation_id":"87c5ee0a-14f7-4a17-81f5-2dba659c5ca7","resolution":{"observed_at":"2026-08-07T18:52:55.349853Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T18:52:55.333501Z","title":"Dillinger, E","venue":null,"work_id":"a6e3d0d3-9cbe-4f6c-ad13-9b042c0c3f31","year":1993},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.633552Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:bb49c86a71c2078312c20764fafec37ecb720491cd0f05777ecfa9debc29e380","observation_id":"33f47092-ab3c-4180-81d0-beceb00f151b","resolution":{"observed_at":"2026-08-07T18:52:55.337892Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T18:52:55.321922Z","title":"Delabaere, H","venue":null,"work_id":"f96b7509-7551-4c44-a9ea-ec2574966d45","year":1997},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.637522Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:8055f1426c9b79f050a197633016edd382ed25614ea4b41d7b83c766b197cb99","observation_id":"1eb5d367-808a-49e0-8322-15f41c4c3d26","resolution":{"observed_at":"2026-08-07T18:52:55.325694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T18:52:55.311179Z","title":"Delabaere and F","venue":null,"work_id":"9a123662-2566-41db-995e-8e45c692e8aa","year":1999},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.641378Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:5604c3aee0df92682b5e7ec4619c4898730292cb83af8f3aa761219d30ccd8b8","observation_id":"daaf872c-e04b-4ba3-83b2-e3af3541e1d5","resolution":{"observed_at":"2026-08-07T18:52:55.314482Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2406.07829","last_updated":"2025-08-29T20:16:25Z","snapshot_observed_at":"2026-07-06T18:29:17.280082Z","submitted_at":"2024-06-12T02:50:43Z","title":"Quantum Hamilton-Jacobi Theory, Spectral Path Integrals and Exact-WKB Analysis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.07829","snapshot_observed_at":"2026-08-07T18:52:54.645325Z","title":"T¨ ure and M.¨Unsal,Quantum Hamilton-Jacobi theory, spectral path integrals, and exact WKB analysis,Phys","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.645325Z"},"links":{"cited_paper":"/paper/2406.07829","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:d606a51586d9978a975b6ba9ef723e819f5726219c838ddc8ed7a108f2313009","observation_id":"3b07e98d-410f-4683-8a04-9d4ea7f40b1e","resolution":{"observed_at":"2026-08-07T18:52:54.645325Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9812211","last_updated":"1998-12-22T20:25:51Z","snapshot_observed_at":"2026-07-07T05:18:45.344791Z","submitted_at":"1998-12-22T20:25:51Z","title":"Anharmonic oscillators, the thermodynamic Bethe ansatz, and nonlinear integral equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9812211","snapshot_observed_at":"2026-08-07T18:52:54.648854Z","title":"Dorey and R","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.648854Z"},"links":{"cited_paper":"/paper/hep-th/9812211","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:7905ce584b36061891e9c743e7d3ed49accacc359dddeb4f4b56eec566071f15","observation_id":"fa476e51-a3f1-4978-b375-fa0307f697c5","resolution":{"observed_at":"2026-08-07T18:52:54.648854Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9812247","last_updated":"1999-01-07T20:19:33Z","snapshot_observed_at":"2026-07-07T05:18:45.344791Z","submitted_at":"1998-12-31T03:13:14Z","title":"Spectral determinants for Schroedinger equation and Q-operators of Conformal Field Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9812247","snapshot_observed_at":"2026-08-07T18:52:54.652813Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.652813Z"},"links":{"cited_paper":"/paper/hep-th/9812247","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:0b0df93b4dbfcb2358b97276b79c685138fd54193de5d80b270a2e87bb928139","observation_id":"44eee67c-7634-4618-a042-96dc5e84b0de","resolution":{"observed_at":"2026-08-07T18:52:54.652813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.04812","last_updated":"2019-01-31T10:41:58Z","snapshot_observed_at":"2026-07-06T07:14:11.540342Z","submitted_at":"2018-11-12T15:46:56Z","title":"TBA equations and resurgent Quantum Mechanics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.04812","snapshot_observed_at":"2026-08-07T18:52:54.656599Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.656599Z"},"links":{"cited_paper":"/paper/1811.04812","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:bcb3c5287fa1373eb185f866ad4f26617e2c527a984e35aa9a575a2237ca1718","observation_id":"826a7f25-edb3-44ad-9963-331bfb8c5f86","resolution":{"observed_at":"2026-08-07T18:52:54.656599Z","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":"2026-08-07T18:52:54.660129Z","title":"Ito and H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.660129Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:3eaab10a829382e9d23a4c927320f8aec935a97f4ce1631abc74b701409b162e","observation_id":"70bcf30a-7bf4-4d5d-97f9-f1fb0a45836a","resolution":{"observed_at":"2026-08-07T18:52:54.660129Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.13680","last_updated":"2021-05-31T09:52:30Z","snapshot_observed_at":"2026-07-06T09:51:32.749534Z","submitted_at":"2020-08-31T15:42:01Z","title":"TBA Equations and Quantization Conditions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.13680","snapshot_observed_at":"2026-08-07T18:52:54.663644Z","title":"Emery,TBA equations and quantization conditions,JHEP07(2021) 171 [2008.13680]","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.663644Z"},"links":{"cited_paper":"/paper/2008.13680","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:9a46e84a983ac4c26eb3a343e6bfeef3f3bf3af90639896aba3c76564133e6b5","observation_id":"35954961-3f9e-47bd-9d3b-a1901025d503","resolution":{"observed_at":"2026-08-07T18:52:54.663644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.03504","last_updated":"2023-12-11T09:55:47Z","snapshot_observed_at":"2026-07-06T15:51:24.412360Z","submitted_at":"2023-07-07T10:40:20Z","title":"Exact WKB Analysis and TBA Equations for the Stark Effect","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.03504","snapshot_observed_at":"2026-08-07T18:52:54.667837Z","title":"Ito and J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.667837Z"},"links":{"cited_paper":"/paper/2307.03504","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:065d3014becea601c6885a95fc0d1644d6c94e36de2ad78f02193ddf9a7e7489","observation_id":"75db4197-9f7c-4523-8235-7fcf7fd4fc3f","resolution":{"observed_at":"2026-08-07T18:52:54.667837Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9203064","last_updated":"1992-05-26T15:14:04Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1992-03-24T14:25:05Z","title":"New Approach to Thermal Bethe Ansatz","version":2},"cited_work":{"arxiv_id":"hep-th/9203064","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9203064","snapshot_observed_at":"2026-08-07T18:52:55.137988Z","title":"New Approach to Thermal Bethe Ansatz","venue":"hep-th","work_id":"e55e2fee-5799-48ca-8b57-30c57a697f2c","year":1992},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.672022Z"},"links":{"cited_paper":"/paper/hep-th/9203064","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:0ef23c750f0957aeb8e534f64c08d30b91599095dcb6cef608af7ed8fcf56f18","observation_id":"037e85ed-f49b-4be3-89a3-2f16b3f723a8","resolution":{"observed_at":"2026-08-07T18:52:55.142291Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"hep-th/9604044","last_updated":"1996-04-17T14:37:52Z","snapshot_observed_at":"2026-07-07T05:10:32.083009Z","submitted_at":"1996-04-08T21:55:15Z","title":"Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9604044","snapshot_observed_at":"2026-08-07T18:52:54.676435Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.676435Z"},"links":{"cited_paper":"/paper/hep-th/9604044","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:b5a86765a93cee1ca8873c1b62eedf49fb2dc6d9698fb23f418baea901fc430a","observation_id":"286660c4-fd89-4953-8598-b5faef9ef301","resolution":{"observed_at":"2026-08-07T18:52:54.676435Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9906219","last_updated":"1999-07-20T13:48:56Z","snapshot_observed_at":"2026-07-07T05:20:17.184705Z","submitted_at":"1999-06-28T17:19:17Z","title":"On the relation between Stokes multipliers and the T-Q systems of conformal field theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9906219","snapshot_observed_at":"2026-08-07T18:52:54.680566Z","title":"Dorey and R","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.680566Z"},"links":{"cited_paper":"/paper/hep-th/9906219","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:2b75c17179e6c72a2ac167e1d7b3fcfdb15c494f41370bbb5b92fa1d1cbdb43e","observation_id":"ba3dca3d-b4ba-4f59-a8b4-9f360a777e9a","resolution":{"observed_at":"2026-08-07T18:52:54.680566Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0703066","last_updated":"2007-07-12T13:15:07Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2007-03-07T19:57:23Z","title":"The ODE/IM Correspondence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0703066","snapshot_observed_at":"2026-08-07T18:52:54.684736Z","title":"Dorey, C","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.684736Z"},"links":{"cited_paper":"/paper/hep-th/0703066","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:6aee086ba58b2630987be06007db6cae9651eb6d57584e1c485b173aa2308ed6","observation_id":"63b57127-78e3-4034-a753-bc926f8f6d82","resolution":{"observed_at":"2026-08-07T18:52:54.684736Z","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":"2026-08-07T18:52:55.300493Z","title":null,"venue":null,"work_id":"78ddf522-6918-4539-8251-5e3b09bad2ad","year":1932},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.688898Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:141388d69eea143b7960c623abdb83bd3893478ce7ba30c945220e14150b7776","observation_id":"db418362-e658-4cbf-a7af-c494f961252f","resolution":{"observed_at":"2026-08-07T18:52:55.303812Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T18:52:55.288718Z","title":null,"venue":null,"work_id":"f245b9e2-341a-4241-a57e-c2d5b5089b99","year":1933},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.693101Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:2355eb43e52d39ee045ffb9ffd573b8296fc2775624853fd33faacc5d5a895b9","observation_id":"087d9d86-11f2-4f3e-be85-6ff48b8e4b0e","resolution":{"observed_at":"2026-08-07T18:52:55.292427Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"1309.0206","last_updated":"2014-01-09T19:55:59Z","snapshot_observed_at":"2026-07-06T03:21:54.501074Z","submitted_at":"2013-09-01T11:44:42Z","title":"Path-integral approach to the Wigner-Kirkwood expansion","version":2},"cited_work":{"arxiv_id":"1309.0206","doi":null,"metadata_source":"pith","pith_arxiv_id":"1309.0206","snapshot_observed_at":"2026-08-07T18:52:55.090099Z","title":"Path-integral approach to the Wigner-Kirkwood expansion","venue":"cond-mat.stat-mech","work_id":"0bdf3640-23c0-4bc5-9eb8-487f4e12ec3b","year":2013},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.696792Z"},"links":{"cited_paper":"/paper/1309.0206","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:a2553faa4c18f96423bbc9afe947e05d230cd36d156c492119db23fd1a818fc2","observation_id":"1d263a36-734d-4a29-b378-609648c95def","resolution":{"observed_at":"2026-08-07T18:52:55.094353Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T18:52:55.276616Z","title":"Voros,THE ZETA FUNCTION OF THE QUARTIC OSCILLATOR,Nucl","venue":null,"work_id":"8a5a4469-d182-4cf4-82a1-911d68b251e9","year":1980},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.701521Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:d9a69ca2932271b4b551e709234acec0eb4e90d8c1312e995c0d05aa528e29f1","observation_id":"0c938f3f-4ab6-4712-8a38-42aec92d7597","resolution":{"observed_at":"2026-08-07T18:52:55.281078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"physics/9712001","last_updated":"1998-05-06T02:33:12Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1997-11-29T04:37:49Z","title":"Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"physics/9712001","snapshot_observed_at":"2026-08-07T18:52:54.705240Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.705240Z"},"links":{"cited_paper":"/paper/physics/9712001","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:089b5fa61090c1a31f681a66ac518f55845d6efe0e5e7aa7427f8b061d6e824d","observation_id":"27fd49c4-c291-4f44-aca4-95a3566c80c5","resolution":{"observed_at":"2026-08-07T18:52:54.705240Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0410013","last_updated":"2004-10-18T13:53:51Z","snapshot_observed_at":"2026-07-07T04:51:57.023494Z","submitted_at":"2004-10-01T15:18:13Z","title":"Beyond the WKB approximation in PT-symmetric quantum mechanics","version":2},"cited_work":{"arxiv_id":"hep-th/0410013","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0410013","snapshot_observed_at":"2026-08-07T18:52:55.059871Z","title":"Beyond the WKB approximation in PT-symmetric quantum mechanics","venue":"hep-th","work_id":"8dc8854e-4c4f-46fd-ade5-24323d9c832a","year":2004},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.709571Z"},"links":{"cited_paper":"/paper/hep-th/0410013","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:1ef4250f3c739b0c2f4af0db2eda2fe055291e9279e3a18d0dbffab2bf1c6a39","observation_id":"e2102d8e-92bf-4eaa-b765-1db52e0263db","resolution":{"observed_at":"2026-08-07T18:52:55.064603Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"hep-th/0103051","last_updated":"2001-07-11T14:28:14Z","snapshot_observed_at":"2026-08-08T02:05:57.548889Z","submitted_at":"2001-03-07T19:51:02Z","title":"Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0103051","snapshot_observed_at":"2026-08-07T18:52:54.713804Z","title":"Dorey, C","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.713804Z"},"links":{"cited_paper":"/paper/hep-th/0103051","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:60adad71e06fe36f375876b1a8af2db4efba94b76e9c336f96a6899cea6dc296","observation_id":"6f196875-58ef-4422-a8ea-8ca574595b4e","resolution":{"observed_at":"2026-08-07T18:52:54.713804Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0002056","last_updated":"2000-02-21T09:40:11Z","snapshot_observed_at":"2026-08-06T01:31:31.850050Z","submitted_at":"2000-02-21T09:40:11Z","title":"Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant","version":1},"cited_work":{"arxiv_id":"quant-ph/0002056","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0002056","snapshot_observed_at":"2026-08-07T18:52:55.027489Z","title":"Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant","venue":"quant-ph","work_id":"1b041922-b161-4ca0-b203-682d221992ee","year":2000},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.717804Z"},"links":{"cited_paper":"/paper/quant-ph/0002056","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:cf64b2e0bd71db2f6221465b62de2c7baaf74947a1c77b72c01017a72b25ed0b","observation_id":"87188787-40d8-4c36-8550-d35907f394fa","resolution":{"observed_at":"2026-08-07T18:52:55.033918Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1110.2004","last_updated":"2012-09-20T04:42:05Z","snapshot_observed_at":"2026-07-06T02:35:30.385069Z","submitted_at":"2011-10-10T11:09:37Z","title":"Spectral zeta functions of a 1D Schr\\\"odinger problem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1110.2004","snapshot_observed_at":"2026-08-07T18:52:54.721829Z","title":"Watkins,Spectral Zeta Functions of a 1d Schr¨ odinger Problem,J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.721829Z"},"links":{"cited_paper":"/paper/1110.2004","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:e2f4264d5b08b0b34ca4729146bfdda12631ec632ef4f3b4b24ee72d4792fd6d","observation_id":"999a077a-3034-4b5f-ac8f-4a90e34b6b8f","resolution":{"observed_at":"2026-08-07T18:52:54.721829Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.14482","last_updated":"2022-09-17T07:54:50Z","snapshot_observed_at":"2026-08-03T18:36:48.114163Z","submitted_at":"2022-06-29T09:16:42Z","title":"Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.14482","snapshot_observed_at":"2026-08-07T18:52:54.726010Z","title":"Voros,Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited ∗,J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.726010Z"},"links":{"cited_paper":"/paper/2206.14482","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:69a7e4efdeaa30d191457d69a2a31d04100f4cf50af3302b62b7973ab07620eb","observation_id":"4cb70454-2ffb-42bc-b9cf-4123e7d49043","resolution":{"observed_at":"2026-08-07T18:52:54.726010Z","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":"2026-08-07T18:52:54.729990Z","title":"Kamata,Exact Sum Rules and Zeta Generating Formulas from the ODE/IM correspondence, 2508.06366","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.729990Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:eaa0f243d2852294c3c841aabb86739e3373e287862361ffe4d1767c7ea41745","observation_id":"45764847-258d-4340-8892-40ba9c922447","resolution":{"observed_at":"2026-08-07T18:52:54.729990Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1005.1046","last_updated":"2010-05-20T10:29:37Z","snapshot_observed_at":"2026-07-06T02:10:01.082955Z","submitted_at":"2010-05-06T17:34:13Z","title":"Y-System and Deformed Thermodynamic Bethe Ansatz","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1005.1046","snapshot_observed_at":"2026-08-07T18:52:54.734200Z","title":"Masoero,Y-System and Deformed Thermodynamic Bethe Ansatz,Lett","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.734200Z"},"links":{"cited_paper":"/paper/1005.1046","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:d12a46232bde0479a2e6e53037dcd6478ecf402495b765c941f3a234602f529c","observation_id":"f8daa875-c869-4414-9f65-0eae4610e257","resolution":{"observed_at":"2026-08-07T18:52:54.734200Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.10722","last_updated":"2020-04-22T17:23:44Z","snapshot_observed_at":"2026-07-06T09:14:26.793306Z","submitted_at":"2020-04-22T17:23:44Z","title":"$QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.10722","snapshot_observed_at":"2026-08-07T18:52:54.738086Z","title":"Fioravanti, M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.738086Z"},"links":{"cited_paper":"/paper/2004.10722","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:6c66ff8e17be6921c8c7a5b5ad1f055f233467e45f47ec8fac2cc602946e4baa","observation_id":"ce5d9f17-591c-4e5b-88e4-1e2d186572c9","resolution":{"observed_at":"2026-08-07T18:52:54.738086Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.05700","last_updated":"2024-02-06T16:07:13Z","snapshot_observed_at":"2026-07-06T16:17:04.004519Z","submitted_at":"2023-09-11T18:00:01Z","title":"Exact instanton transseries for quantum mechanics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.05700","snapshot_observed_at":"2026-08-07T18:52:54.741847Z","title":"van Spaendonck and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.741847Z"},"links":{"cited_paper":"/paper/2309.05700","citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:8855aa47e53250d52d1bc1a8582ad36fe182aed40b1dda729a3fdf28a3b0a943","observation_id":"4ab8c4dd-26ee-46e2-8406-4d5a1c40e0fb","resolution":{"observed_at":"2026-08-07T18:52:54.741847Z","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":"2026-08-07T18:52:55.264587Z","title":"Fioravanti, M","venue":null,"work_id":"12f866c2-be11-4b84-be83-ab8c8e7b5703","year":null},"citing_paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T18:52:54.745486Z"},"links":{"citing_paper":"/paper/2608.06047"},"observation_digest":"sha256:096e2cbf0dfcbb8171d59b47d50a72fe9b054e03f5015a08294f0c5552f85a61","observation_id":"15a717ca-0258-4955-9001-0e4091516b38","resolution":{"observed_at":"2026-08-07T18:52:55.268437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"2608.06047","last_updated":"2026-08-06T13:57:33Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-08T05:15:07.035344Z","submitted_at":"2026-08-06T13:57:33Z","title":"Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":26,"verified_exact":4,"verified_fuzzy":8},"total_outbound_references":38},"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 8 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2608.06047."}