{"as_of":"2026-08-18T08:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fd77c0d3740283edf02474dafbe168235821e2389cbf127ed043b76d80e20ffd","coverage":[{"denominator":48,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":48,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T10:54:04.583288Z","state":"measured"},{"denominator":50,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":50,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-01T04:48:30.563853Z","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":"2026-07-01T11:05:41.391312Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"cited_work":{"arxiv_id":"1908.10323","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.10323","snapshot_observed_at":"2026-07-01T11:05:41.391312Z","title":"Das and N","venue":null,"work_id":"b57d4dd0-0fdd-4d93-985d-65c7fad295c2","year":2020},"citing_paper":{"arxiv_id":"2605.14372","last_updated":"2026-05-14T04:50:26Z","snapshot_observed_at":"2026-07-06T23:25:49.545418Z","submitted_at":"2026-05-14T04:50:26Z","title":"Complete one-loop self-energies of the linear sigma model coupled to quarks at finite temperature and in a magnetic field","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-06-30T20:46:17.090053Z"},"links":{"cited_paper":"/paper/1908.10323","citing_paper":"/paper/2605.14372"},"observation_digest":"sha256:5e47e77793bd07c6c6d280997d119a48f51daec3e37bbfc7db064163e38104b9","observation_id":"6569c461-c505-405b-9aa6-6e90838dc68a","resolution":{"observed_at":"2026-06-30T20:55:04.701940Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"cited_work":{"arxiv_id":"1908.10323","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.10323","snapshot_observed_at":"2026-07-01T11:05:41.391312Z","title":"Das and N","venue":null,"work_id":"b57d4dd0-0fdd-4d93-985d-65c7fad295c2","year":2020},"citing_paper":{"arxiv_id":"2606.31697","last_updated":"2026-06-30T14:08:20Z","snapshot_observed_at":"2026-08-09T23:39:13.188831Z","submitted_at":"2026-06-30T14:08:20Z","title":"Hadronic exceptional points","version":1},"reference_index":155,"source":"pdf_text","source_observed_at":"2026-07-01T04:48:30.563853Z"},"links":{"cited_paper":"/paper/1908.10323","citing_paper":"/paper/2606.31697"},"observation_digest":"sha256:98aa9ec98dfec027254ff5f1035730618b748214accb82cf07bbdacd6202c904","observation_id":"b6674857-d3f6-4333-8f06-3de5aeae1cfb","resolution":{"observed_at":"2026-07-01T11:05:41.392836Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1908.10323/citation-record","integrity":"/paper/1908.10323/integrity","json":"/paper/1908.10323/citation-record.json","paper":"/paper/1908.10323"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T10:54:05.329542Z","title":null,"venue":null,"work_id":"24a1b71d-be5b-4ba5-b381-ab1016e1b746","year":null},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.408166Z"},"links":{"citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:4422ba870feda6d9ce8d2b25fa714447469542bdd091a16a6ca2fcb798d7bc68","observation_id":"113f69c0-40e5-46af-9158-81c4e6eb8b4d","resolution":{"observed_at":"2026-08-14T10:54:05.333019Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T10:54:05.319083Z","title":"(14) The value of a is given by solving Eq","venue":null,"work_id":"75de82e4-ea3c-4d1e-8406-cebcdb9072be","year":null},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.412454Z"},"links":{"citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:99b734a503cffff96c33ab69301013d3ecc0c100a1de8b29d76f5989059a4d88","observation_id":"625c4caa-b2f6-4163-81ac-a8550b7df253","resolution":{"observed_at":"2026-08-14T10:54:05.322572Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T10:54:05.308518Z","title":"(C2) 12 Expanding the matrix structure in Eq","venue":null,"work_id":"6aaa79d4-f250-44c9-bb73-486da0bddc5b","year":null},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.417041Z"},"links":{"citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:8a57fb11c88a12debf46a4530111a3392b2fdb81b1a9e65a69b665fc5567ab45","observation_id":"e17ba65e-319a-4710-b25b-6a0d15442a2f","resolution":{"observed_at":"2026-08-14T10:54:05.312083Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T10:54:05.298124Z","title":"It has five tensor structures: /P q, /P⊥, /P qγ1γ2, γ1γ2, and 1","venue":null,"work_id":"08f5f24f-90b7-4679-a256-600147fe95fb","year":null},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.420869Z"},"links":{"citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:8c2c3d3a03ba6de03d7254428eea49a5524276e0c9c12e0358f82507d43a59b2","observation_id":"c4a526a0-b374-477c-838b-f4e2d80a2f78","resolution":{"observed_at":"2026-08-14T10:54:05.302015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0907.1396","last_updated":"2009-07-08T11:39:13Z","snapshot_observed_at":"2026-08-15T05:44:10.080834Z","submitted_at":"2009-07-08T11:39:13Z","title":"Estimate of the magnetic field strength in heavy-ion collisions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0907.1396","snapshot_observed_at":"2026-08-14T10:54:04.424479Z","title":"Estimate of the magnetic field strength in heavy-ion collisions ,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.424479Z"},"links":{"cited_paper":"/paper/0907.1396","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:68ed1613a5f507d87ab55d808a3829a17bc8de9bc3f8319922bd3a13ea2adb5e","observation_id":"328b4de2-f983-49d3-911a-26a44f75b212","resolution":{"observed_at":"2026-08-14T10:54:04.424479Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.5694","last_updated":"2014-08-25T09:27:50Z","snapshot_observed_at":"2026-08-14T23:22:04.157517Z","submitted_at":"2014-08-25T09:27:50Z","title":"A systematic study of magnetic field in Relativistic Heavy-ion Collisions in the RHIC and LHC energy regions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.5694","snapshot_observed_at":"2026-08-14T10:54:04.428087Z","title":"A sys- tematic study of magnetic field in Relativistic Heavy-ion Collisions in the RHIC and LHC energy regions ,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.428087Z"},"links":{"cited_paper":"/paper/1408.5694","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:738698a8c7b5034288af9acc5969734563ae3a1137eeed7326cc371c280b5ea3","observation_id":"8d92debf-b02e-4664-9272-ea15bf0ec20a","resolution":{"observed_at":"2026-08-14T10:54:04.428087Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1008.1604","last_updated":"2011-02-17T16:12:31Z","snapshot_observed_at":"2026-08-15T05:11:50.180112Z","submitted_at":"2010-08-09T23:16:16Z","title":"Photon decay in strong magnetic field in heavy-ion collisions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1008.1604","snapshot_observed_at":"2026-08-14T10:54:04.432122Z","title":"Photon decay in strong magnetic field in heavy-ion collisions ,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.432122Z"},"links":{"cited_paper":"/paper/1008.1604","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:360f37807793deb8403f343b509f8bfbca812a0331966b0f89f90f235791c00a","observation_id":"9b37415b-bc5b-4609-ab6d-6108b3234d7f","resolution":{"observed_at":"2026-08-14T10:54:04.432122Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.1363","last_updated":"2016-03-08T21:30:08Z","snapshot_observed_at":"2026-08-17T01:15:49.089199Z","submitted_at":"2014-11-05T19:18:05Z","title":"Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1411.1363","snapshot_observed_at":"2026-08-14T10:54:04.435780Z","title":"Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma ,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.435780Z"},"links":{"cited_paper":"/paper/1411.1363","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:f6e2a3c10017c9cdbed216efe1d7f1e3950c2eb9194bbd1dbfa23e04da596162","observation_id":"ce4a94af-9939-4b88-b565-fc7cce386455","resolution":{"observed_at":"2026-08-14T10:54:04.435780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.0545","last_updated":"2013-05-02T19:24:06Z","snapshot_observed_at":"2026-08-15T00:19:07.945281Z","submitted_at":"2013-05-02T19:24:06Z","title":"Magnetic contribution to dilepton production in heavy-ion collisions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.0545","snapshot_observed_at":"2026-08-14T10:54:04.439659Z","title":"Magnetic contribution to dilepton production in heavy-ion collisions,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.439659Z"},"links":{"cited_paper":"/paper/1305.0545","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:2a302e63fb536c138dacdeff23e93d6da49c8b74eba53d9365a2219a368cc63a","observation_id":"16378432-79a7-493e-b818-5337ae5708fc","resolution":{"observed_at":"2026-08-14T10:54:04.439659Z","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":"2026-08-14T10:54:05.287216Z","title":"Formation of very strongly magnetized neutron stars - implications for gamma-ray bursts,","venue":null,"work_id":"ec594228-26db-4acc-ad8c-e8dcae2d36cc","year":1992},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.443491Z"},"links":{"citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:630528d496cdc13570ecb9120aee87e20f3d3423c7b17bc8dcba842bfe9d793f","observation_id":"89eb6c5a-2a05-4d7c-8091-e43ccf339a29","resolution":{"observed_at":"2026-08-14T10:54:05.291310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1707.05600","last_updated":"2018-03-05T15:55:33Z","snapshot_observed_at":"2026-08-14T20:46:56.471126Z","submitted_at":"2017-07-18T13:25:24Z","title":"Meson masses in electromagnetic fields with Wilson fermions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.05600","snapshot_observed_at":"2026-08-14T10:54:04.447185Z","title":"Meson masses in electromagnetic fields with Wilson fermions","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.447185Z"},"links":{"cited_paper":"/paper/1707.05600","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:4c3f744f4f05df7c535ac41856ed66cb02bd2155f95bc31ebbd4312a9ee9235b","observation_id":"eeee5aa8-6772-4f7e-8226-bec509d63ddb","resolution":{"observed_at":"2026-08-14T10:54:04.447185Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1202.2051","last_updated":"2012-07-17T07:22:02Z","snapshot_observed_at":"2026-08-15T04:19:46.939715Z","submitted_at":"2012-02-09T17:10:34Z","title":"Thermal pions in a magnetic background","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.2051","snapshot_observed_at":"2026-08-14T10:54:04.451061Z","title":"Thermal pions in a magnetic background,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.451061Z"},"links":{"cited_paper":"/paper/1202.2051","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:3b8fa15607f5518f86af001007d2b88cfd7ad61d68e32297c570ec8bf024e677","observation_id":"b47cc6b3-33a3-48c3-b084-dee39b3a1964","resolution":{"observed_at":"2026-08-14T10:54:04.451061Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0107128","last_updated":"2001-07-11T16:21:28Z","snapshot_observed_at":"2026-07-07T03:53:00.353469Z","submitted_at":"2001-07-11T16:21:28Z","title":"Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0107128","snapshot_observed_at":"2026-08-14T10:54:04.454684Z","title":"Gell-Mann-Oakes- Renner relation in a magnetic field at finite temperature,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.454684Z"},"links":{"cited_paper":"/paper/hep-ph/0107128","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:12f488360bd1a1669b3ce5229933ae480f13c1e6918ac59a83aede91acf4812c","observation_id":"0d2430ba-635e-4a49-95a0-e8b79cf8560c","resolution":{"observed_at":"2026-08-14T10:54:04.454684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1601.04578","last_updated":"2016-04-26T07:25:36Z","snapshot_observed_at":"2026-08-14T22:14:12.201669Z","submitted_at":"2016-01-18T15:39:52Z","title":"Pionic dispersion relations in the presence of a weak magnetic field","version":2},"cited_work":{"arxiv_id":"1601.04578","doi":null,"metadata_source":"pith","pith_arxiv_id":"1601.04578","snapshot_observed_at":"2026-08-14T10:54:05.184555Z","title":"Pionic dispersion relations in the presence of a weak magnetic field","venue":"nucl-th","work_id":"dcf7eb6c-fe41-4681-8696-afd925c7c3c1","year":2016},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.458185Z"},"links":{"cited_paper":"/paper/1601.04578","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:bcd52a15eba3a3190a850101a045cc3d6c5e063339774808c1ae41f2a1b231dc","observation_id":"5ba389ae-d75d-4177-ab50-e0ec2a92975c","resolution":{"observed_at":"2026-08-14T10:54:05.188510Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1708.02385","last_updated":"2017-08-08T07:14:12Z","snapshot_observed_at":"2026-08-14T20:42:38.183723Z","submitted_at":"2017-08-08T07:14:12Z","title":"Mass modification of hot pions in magnetized dense medium","version":1},"cited_work":{"arxiv_id":"1708.02385","doi":null,"metadata_source":"pith","pith_arxiv_id":"1708.02385","snapshot_observed_at":"2026-08-14T10:54:05.168887Z","title":"Mass modification of hot pions in magnetized dense medium","venue":"hep-ph","work_id":"ca2b860e-0081-413d-8659-e8e8e2ff2473","year":2017},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.461793Z"},"links":{"cited_paper":"/paper/1708.02385","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:483aa6d80894495d5ec6e5a322ceeef5cb48379bf440bc4c244579eb96351224","observation_id":"a8a8d7fb-93e7-45cf-bec6-d68c48e26a6d","resolution":{"observed_at":"2026-08-14T10:54:05.172914Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1206.6051","last_updated":"2013-01-30T09:29:48Z","snapshot_observed_at":"2026-08-15T00:55:21.798164Z","submitted_at":"2012-06-26T16:57:09Z","title":"Properties of neutral mesons in a hot and magnetized quark matter","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1206.6051","snapshot_observed_at":"2026-08-14T10:54:04.465326Z","title":"Proper- ties of neutral mesons in a hot and magnetized quark mat- ter","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.465326Z"},"links":{"cited_paper":"/paper/1206.6051","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:c50129b5a521510829e96dd609a792f9d4504d8914ba474672ff3ed881ce8744","observation_id":"3072f64b-f7bf-45d8-be4f-c19328b840ba","resolution":{"observed_at":"2026-08-14T10:54:04.465326Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1802.08041","last_updated":"2018-02-22T13:49:14Z","snapshot_observed_at":"2026-08-15T00:03:32.561935Z","submitted_at":"2018-02-22T13:49:14Z","title":"Charged pion masses under strong magnetic fields in the NJL model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.08041","snapshot_observed_at":"2026-08-14T10:54:04.468800Z","title":"Charged pion masses under strong magnetic fields in the NJL model ,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.468800Z"},"links":{"cited_paper":"/paper/1802.08041","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:0aec9a3d8cb0c2067f222c6e93dccf4289ebd01240c8724010c2482de6a72ffc","observation_id":"ac8bd59f-d659-4e14-8e77-80a98020203f","resolution":{"observed_at":"2026-08-14T10:54:04.468800Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1710.08950","last_updated":"2017-10-24T18:57:50Z","snapshot_observed_at":"2026-08-18T03:40:46.391306Z","submitted_at":"2017-10-24T18:57:50Z","title":"Neutral meson properties under an external magnetic field in nonlocal chiral quark models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.08950","snapshot_observed_at":"2026-08-14T10:54:04.472728Z","title":"Neutral meson properties under an external magnetic field in nonlocal chiral quark models ,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.472728Z"},"links":{"cited_paper":"/paper/1710.08950","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:898a12d5431a56808b10fceb5b6f25d3aa6d5f00e165c33c1a676d73b1401045","observation_id":"bfa8c9b1-2cb1-4d21-a140-d3ae36b9aa7f","resolution":{"observed_at":"2026-08-14T10:54:04.472728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.06261","last_updated":"2016-02-16T16:04:51Z","snapshot_observed_at":"2026-08-16T16:52:52.521252Z","submitted_at":"2015-11-19T17:11:40Z","title":"Properties of magnetized neutral mesons within a full RPA evaluation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.06261","snapshot_observed_at":"2026-08-14T10:54:04.476289Z","title":"Prop- erties of magnetized neutral mesons within a full RPA evaluation,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.476289Z"},"links":{"cited_paper":"/paper/1511.06261","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:01224379125ba03d67e82636302db89537b5116a12f969b17777c0acae7d969d","observation_id":"b5b52c6a-7c8c-4be2-af03-4e2a15d3d10c","resolution":{"observed_at":"2026-08-14T10:54:04.476289Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1604.08888","last_updated":"2016-04-29T15:56:28Z","snapshot_observed_at":"2026-08-14T21:59:30.854396Z","submitted_at":"2016-04-29T15:56:28Z","title":"Properties of Mesons in a Strong Magnetic Field","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1604.08888","snapshot_observed_at":"2026-08-14T10:54:04.479949Z","title":"Properties of Mesons in a Strong Magnetic Field ,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.479949Z"},"links":{"cited_paper":"/paper/1604.08888","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:282bba5afbaa06e7aa63ba366be0a6a369b74354b93637f7575b6ae6cc07d836","observation_id":"83889ed0-9c8b-41ad-8954-2c2674e530f4","resolution":{"observed_at":"2026-08-14T10:54:04.479949Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.00945","last_updated":"2019-06-21T18:37:55Z","snapshot_observed_at":"2026-08-14T17:49:20.047364Z","submitted_at":"2018-12-03T18:16:35Z","title":"Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.00945","snapshot_observed_at":"2026-08-14T10:54:04.483311Z","title":"Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.483311Z"},"links":{"cited_paper":"/paper/1812.00945","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:3b2b06b649bd87dd0af761725e8f076d73f0682a7f33c65ac2f7e3a816d74c74","observation_id":"e312ed41-c4db-40d2-ba44-b4aec5dfd24a","resolution":{"observed_at":"2026-08-14T10:54:04.483311Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.05754","last_updated":"2017-02-21T20:04:37Z","snapshot_observed_at":"2026-08-15T19:24:53.595133Z","submitted_at":"2016-06-18T14:13:09Z","title":"$\\pi_0$ pole mass calculation in a strong magnetic field and lattice constraints","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.05754","snapshot_observed_at":"2026-08-14T10:54:04.486639Z","title":"π0 pole mass calcula- tion in a strong magnetic field and lattice constraints","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.486639Z"},"links":{"cited_paper":"/paper/1606.05754","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:71a4ef34b79ef3a856e84d268e96e68b8938f3a0f75bf577ab32d8d83e0dbf9f","observation_id":"90913537-61dd-4f3a-a242-51b33976f280","resolution":{"observed_at":"2026-08-14T10:54:04.486639Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1007.0790","last_updated":"2010-07-06T01:21:42Z","snapshot_observed_at":"2026-08-17T12:25:58.598842Z","submitted_at":"2010-07-06T01:21:42Z","title":"Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1007.0790","snapshot_observed_at":"2026-08-14T10:54:04.490352Z","title":"Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field ,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.490352Z"},"links":{"cited_paper":"/paper/1007.0790","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:22f1da02028a4a54816d30c64238aea3772f04d2d3f8375de2e086e1f16c58c6","observation_id":"9aae26a0-1b1e-405a-9308-f8fed8f3d1d2","resolution":{"observed_at":"2026-08-14T10:54:04.490352Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1104.5167","last_updated":"2011-06-24T05:13:30Z","snapshot_observed_at":"2026-08-15T04:48:18.775717Z","submitted_at":"2011-04-27T15:50:05Z","title":"Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field","version":2},"cited_work":{"arxiv_id":"1104.5167","doi":null,"metadata_source":"pith","pith_arxiv_id":"1104.5167","snapshot_observed_at":"2026-08-14T10:54:04.945454Z","title":"Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field","venue":"hep-ph","work_id":"33e7787f-a65c-4aee-874f-2ad1383aa6c2","year":2011},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.493966Z"},"links":{"cited_paper":"/paper/1104.5167","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:5cd3b69b6e0ab6e09dd721442c141a915c294608ae7dfe63d9350bcf238fc10f","observation_id":"d514e5aa-b789-441d-8d93-c5895d1a9caa","resolution":{"observed_at":"2026-08-14T10:54:04.950055Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2712","last_updated":"2010-09-30T11:49:17Z","snapshot_observed_at":"2026-08-15T05:21:36.672264Z","submitted_at":"2010-04-15T20:34:54Z","title":"Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1004.2712","snapshot_observed_at":"2026-08-14T10:54:04.497702Z","title":"Phase diagram of hot QCD in an external magnetic field: pos- sible splitting of deconfinement and chiral transitions ,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.497702Z"},"links":{"cited_paper":"/paper/1004.2712","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:5e92e1d00f81474aca0e28e58b242d929a28120b68be5f0daf079f3f12fa2829","observation_id":"3fe0e0ef-fdf6-447f-876c-14ca9c116292","resolution":{"observed_at":"2026-08-14T10:54:04.497702Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1112.5137","last_updated":"2011-12-21T19:04:21Z","snapshot_observed_at":"2026-08-17T23:30:35.310934Z","submitted_at":"2011-12-21T19:04:21Z","title":"Phase diagram in an external magnetic field beyond a mean-field approximation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1112.5137","snapshot_observed_at":"2026-08-14T10:54:04.501701Z","title":"Phase diagram in an external magnetic field beyond a mean-field approximation ,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.501701Z"},"links":{"cited_paper":"/paper/1112.5137","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:870fa541d8edc57ae97613729977d30fa4f095805e5d7b45251ceeb155cd892d","observation_id":"52905a8f-ffe4-4658-89a1-6067fb8b4d2b","resolution":{"observed_at":"2026-08-14T10:54:04.501701Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1104.1512","last_updated":"2011-04-08T08:01:45Z","snapshot_observed_at":"2026-08-15T04:49:54.154802Z","submitted_at":"2011-04-08T08:01:45Z","title":"Quark matter under strong magnetic field in chiral models","version":1},"cited_work":{"arxiv_id":"1104.1512","doi":null,"metadata_source":"pith","pith_arxiv_id":"1104.1512","snapshot_observed_at":"2026-08-14T10:54:04.912913Z","title":"Quark matter under strong magnetic field in chiral models","venue":"nucl-th","work_id":"2932773b-1d47-46c0-8459-b898805eed19","year":2011},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.505180Z"},"links":{"cited_paper":"/paper/1104.1512","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:39d082c1992b94c9e5bc92fa28b58f85b1002c7e19558fd4596fc00b0406d86b","observation_id":"cccaf540-67c7-4515-aa7c-c378f77d3bcb","resolution":{"observed_at":"2026-08-14T10:54:04.916486Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1204.3360","last_updated":"2012-07-17T07:13:29Z","snapshot_observed_at":"2026-08-15T22:24:06.201865Z","submitted_at":"2012-04-16T04:30:12Z","title":"The chiral transition in a magnetic background: Finite density effects and the functional renormalization group","version":3},"cited_work":{"arxiv_id":"1204.3360","doi":null,"metadata_source":"pith","pith_arxiv_id":"1204.3360","snapshot_observed_at":"2026-08-14T10:54:04.899621Z","title":"The chiral transition in a magnetic background: Finite density effects and the functional renormalization group","venue":"hep-ph","work_id":"afc28b5e-b0aa-4c63-8116-64433b0727bb","year":2012},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.508655Z"},"links":{"cited_paper":"/paper/1204.3360","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:7b00ec19263b9f140ecb4933eb1187e5fbc38fe3fccc52b8310fad48855a7784","observation_id":"fe5f1b55-79d3-4bdf-a904-ac76f7fe3d5e","resolution":{"observed_at":"2026-08-14T10:54:04.903356Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0804.1452","last_updated":"2008-04-09T10:23:52Z","snapshot_observed_at":"2026-08-15T10:17:56.742698Z","submitted_at":"2008-04-09T10:23:52Z","title":"Chiral transition in a strong magnetic background","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0804.1452","snapshot_observed_at":"2026-08-14T10:54:04.512405Z","title":"Chiral transition in a strong magnetic background ,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.512405Z"},"links":{"cited_paper":"/paper/0804.1452","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:d12dc576f1f150d382a9797bac8b3f76c4f0addae6cc9087d21215eaeb900659","observation_id":"14d910a5-afd8-4dff-b95f-158360760275","resolution":{"observed_at":"2026-08-14T10:54:04.512405Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1103.1194","last_updated":"2011-03-07T05:09:16Z","snapshot_observed_at":"2026-08-16T02:03:09.996589Z","submitted_at":"2011-03-07T05:09:16Z","title":"Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1103.1194","snapshot_observed_at":"2026-08-14T10:54:04.516380Z","title":"Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Mod- els,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.516380Z"},"links":{"cited_paper":"/paper/1103.1194","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:e66c9f46ee9919d27e7dd3e033d3e8aff2c61f513848e3094ac893e1324036c0","observation_id":"1dfa487e-9687-4ebc-a118-ca1a8940fa32","resolution":{"observed_at":"2026-08-14T10:54:04.516380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1105.1290","last_updated":"2011-12-12T11:20:00Z","snapshot_observed_at":"2026-08-15T04:47:30.180817Z","submitted_at":"2011-05-06T14:17:06Z","title":"Chiral transition in a magnetic field and at finite baryon density","version":3},"cited_work":{"arxiv_id":"1105.1290","doi":null,"metadata_source":"pith","pith_arxiv_id":"1105.1290","snapshot_observed_at":"2026-08-14T10:54:04.866001Z","title":"Chiral transition in a magnetic field and at finite baryon density","venue":"hep-ph","work_id":"35fd2aff-3785-4ae1-92b2-7b7b8fc484d9","year":2011},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.520575Z"},"links":{"cited_paper":"/paper/1105.1290","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:9514a5d51955de6c40b3c89a53a30e0cb326d2321af280f0517746ae9c14132a","observation_id":"3f19725b-83fe-4a31-849d-3ccf56914d43","resolution":{"observed_at":"2026-08-14T10:54:04.870260Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T10:54:05.276983Z","title":"The axial vector current in beta decay,","venue":null,"work_id":"b6c970b4-d885-4077-9993-689b60349504","year":1960},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.524246Z"},"links":{"citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:f7cc7f4c92fa2b4359ea9868704893c79215b31bf91dd173ea49e51948c8c4e0","observation_id":"2fb01979-57a8-457e-8cae-92bf217bcc7a","resolution":{"observed_at":"2026-08-14T10:54:05.280630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0402136","last_updated":"2004-02-12T20:25:31Z","snapshot_observed_at":"2026-07-07T04:02:51.118813Z","submitted_at":"2004-02-12T20:25:31Z","title":"Linear sigma model at finite temperature","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0402136","snapshot_observed_at":"2026-08-14T10:54:04.527537Z","title":"Linear sigma model at finite tempera- ture,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.527537Z"},"links":{"cited_paper":"/paper/hep-ph/0402136","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:aec9877ce92fd878ab6618b1aa4fafd37bbb67eee49118a1339ee6d48b4425dd","observation_id":"46befc6e-e7c8-4794-a1ca-7704d553135a","resolution":{"observed_at":"2026-08-14T10:54:04.527537Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.10047","last_updated":"2018-03-02T20:36:42Z","snapshot_observed_at":"2026-08-14T19:59:30.695194Z","submitted_at":"2017-12-28T20:21:44Z","title":"Magnetic Corrections to ${\\pi}$-${\\pi}$ Scattering Lengths in the Linear Sigma Model","version":2},"cited_work":{"arxiv_id":"1712.10047","doi":null,"metadata_source":"pith","pith_arxiv_id":"1712.10047","snapshot_observed_at":"2026-08-14T10:54:04.841464Z","title":"Magnetic Corrections to ${\\pi}$-${\\pi}$ Scattering Lengths in the Linear Sigma Model","venue":"hep-ph","work_id":"0d45267c-adde-430c-99c0-fd32c972f58b","year":2017},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.531581Z"},"links":{"cited_paper":"/paper/1712.10047","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:1b0bf14038520327be8c758b0640842a15b62a79f55a0a5a0d59ce5da1c85e0d","observation_id":"f5c34c1b-6f7e-4fec-bbcd-a8e185ed0ad0","resolution":{"observed_at":"2026-08-14T10:54:04.845617Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.03783","last_updated":"2019-05-08T20:36:35Z","snapshot_observed_at":"2026-08-17T11:44:11.597316Z","submitted_at":"2019-05-08T20:36:35Z","title":"Thermo-magnetic corrections to $\\pi$-$\\pi$ Scattering Lengths in the Linear Sigma Model","version":1},"cited_work":{"arxiv_id":"1905.03783","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.03783","snapshot_observed_at":"2026-08-14T10:54:04.827105Z","title":"Thermo-magnetic corrections to $\\pi$-$\\pi$ Scattering Lengths in the Linear Sigma Model","venue":"hep-ph","work_id":"6a50503d-b97f-4cfe-931c-f17c4189d54f","year":2019},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.535424Z"},"links":{"cited_paper":"/paper/1905.03783","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:866a83eaf851a790b34ab80403ac74815af91ff3c58e3aa534f809e00e346c09","observation_id":"10c8e447-f1a7-4fd0-b3af-d4ced907620f","resolution":{"observed_at":"2026-08-14T10:54:04.831121Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1310.5789","last_updated":"2013-12-02T23:20:24Z","snapshot_observed_at":"2026-08-14T23:58:09.220803Z","submitted_at":"2013-10-22T03:19:24Z","title":"The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field","version":2},"cited_work":{"arxiv_id":"1310.5789","doi":null,"metadata_source":"pith","pith_arxiv_id":"1310.5789","snapshot_observed_at":"2026-08-14T10:54:04.812122Z","title":"The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field","venue":"hep-ph","work_id":"4b5597c1-9ac2-4739-b119-da224170b0ff","year":2013},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.538887Z"},"links":{"cited_paper":"/paper/1310.5789","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:a459a768218c918de656678b351dc0bbeb5ce44d863b1aa5f012b676275e0505","observation_id":"dfb96620-0fab-4a49-b402-d9e54740aa09","resolution":{"observed_at":"2026-08-14T10:54:04.816179Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.11905","last_updated":"2020-02-12T22:48:34Z","snapshot_observed_at":"2026-08-16T20:36:46.134111Z","submitted_at":"2019-04-26T15:48:28Z","title":"On the critical end point in a two-flavor linear sigma model coupled to quarks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.11905","snapshot_observed_at":"2026-08-14T10:54:04.542939Z","title":"Pinning down the QCD critical end point","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.542939Z"},"links":{"cited_paper":"/paper/1904.11905","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:af603e1dd76d294cc9c75402aba0ae84e482c8fef3eb31a537c50fdfe9fe09d5","observation_id":"c1751b85-35b8-4ec6-8439-cdf0bcae0bf7","resolution":{"observed_at":"2026-08-14T10:54:04.542939Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.4953","last_updated":"2015-05-13T22:28:07Z","snapshot_observed_at":"2026-08-14T23:11:09.655695Z","submitted_at":"2014-11-18T18:24:41Z","title":"The effective QCD phase diagram and the critical end point","version":2},"cited_work":{"arxiv_id":"1411.4953","doi":null,"metadata_source":"pith","pith_arxiv_id":"1411.4953","snapshot_observed_at":"2026-08-14T10:54:04.789201Z","title":"The effective QCD phase diagram and the critical end point","venue":"hep-ph","work_id":"d737c73c-ac17-4143-b6d1-a8bb61f8dee2","year":2014},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.546584Z"},"links":{"cited_paper":"/paper/1411.4953","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:37dad5ee0fa01862e8dc8406ffdc688bf232bf0f36784fc6e94019a10cfaba0e","observation_id":"d2ebda02-1215-475e-ab7f-6913939afede","resolution":{"observed_at":"2026-08-14T10:54:04.793670Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1710.09007","last_updated":"2018-01-30T15:53:53Z","snapshot_observed_at":"2026-08-15T12:37:56.655140Z","submitted_at":"2017-10-24T22:21:27Z","title":"QCD phase diagram from chiral symmetry restoration: analytic approach at high and low temperature using the Linear Sigma Model with Quarks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.09007","snapshot_observed_at":"2026-08-14T10:54:04.550559Z","title":"QCD phase diagram from chiral symmetry restoration: analytic approach at high and low temperature using the Linear Sigma Model with Quarks","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.550559Z"},"links":{"cited_paper":"/paper/1710.09007","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:f437e02a489eb37fc036e1452b0c3bdd4fa81ca47624c64e719a18b13c631ad8","observation_id":"9b1bc31d-089f-441b-b7f8-6c5246b5f525","resolution":{"observed_at":"2026-08-14T10:54:04.550559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"nucl-th/0007030","last_updated":"2000-07-13T21:17:16Z","snapshot_observed_at":"2026-07-07T06:29:36.539544Z","submitted_at":"2000-07-13T21:17:16Z","title":"Chiral Phase Transition within Effective Models with Constituent Quarks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"nucl-th/0007030","snapshot_observed_at":"2026-08-14T10:54:04.554068Z","title":"Chiral phase transition within effective models with constituent quarks,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.554068Z"},"links":{"cited_paper":"/paper/nucl-th/0007030","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:10bfa5914c8435cce674b93c90ec25271315ba4e4c101789c45a58a93a22bc1b","observation_id":"66014ae1-e0ae-4fa0-a292-3631faf921fc","resolution":{"observed_at":"2026-08-14T10:54:04.554068Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.03345","last_updated":"2015-09-14T19:42:27Z","snapshot_observed_at":"2026-08-16T23:35:58.599182Z","submitted_at":"2015-09-10T21:49:48Z","title":"The magnetized effective QCD phase diagram","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.03345","snapshot_observed_at":"2026-08-14T10:54:04.558015Z","title":"Magnetized effective QCD phase diagram","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.558015Z"},"links":{"cited_paper":"/paper/1509.03345","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:dca5edcd8fa8d70a8596e44804930083a5f133999111747821a473f851d60ff0","observation_id":"bee30e82-acfb-4192-9be6-04fdee41e374","resolution":{"observed_at":"2026-08-14T10:54:04.558015Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.7408","last_updated":"2014-12-19T21:33:04Z","snapshot_observed_at":"2026-08-14T23:28:43.412599Z","submitted_at":"2014-06-28T14:40:19Z","title":"Inverse magnetic catalysis in the linear sigma model with quarks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.7408","snapshot_observed_at":"2026-08-14T10:54:04.561823Z","title":"Inverse magnetic catalysis in the linear sigma model with quarks ,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.561823Z"},"links":{"cited_paper":"/paper/1406.7408","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:02e53d8ecfb0a53f532e52bff95a3172201f99598bcb8d6eaf721199d7b811cd","observation_id":"b6583dd0-a4ea-40d2-a679-0aa0fff9263f","resolution":{"observed_at":"2026-08-14T10:54:04.561823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1809.08312","last_updated":"2018-09-21T21:05:50Z","snapshot_observed_at":"2026-08-14T18:25:08.501938Z","submitted_at":"2018-09-21T21:05:50Z","title":"Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.08312","snapshot_observed_at":"2026-08-14T10:54:04.565242Z","title":"Magnetic field- dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.565242Z"},"links":{"cited_paper":"/paper/1809.08312","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:41159c93df30eba9978ef59a64b6866ed8740cbf2ca73181c8c7c94f9a0f8817","observation_id":"73c735da-0c41-49f1-837b-676088b3e65e","resolution":{"observed_at":"2026-08-14T10:54:04.565242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0009204","last_updated":"2001-01-15T12:41:19Z","snapshot_observed_at":"2026-08-14T19:41:30.144069Z","submitted_at":"2000-09-26T15:09:11Z","title":"Vacuum polarization in thermal QED with an external magnetic field","version":4},"cited_work":{"arxiv_id":"hep-th/0009204","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0009204","snapshot_observed_at":"2026-08-14T10:54:04.729408Z","title":"Vacuum polarization in thermal QED with an external magnetic field","venue":"hep-th","work_id":"543dddca-78b1-4ac2-bc6f-a02a1c019f26","year":2000},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.568886Z"},"links":{"cited_paper":"/paper/hep-th/0009204","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:1b7165277c2b24474aa94423d1ae696f04fa851be8a258b9a078eeea0ce08d9f","observation_id":"420abeb1-b2db-48b0-8346-9b2da2d5b1ed","resolution":{"observed_at":"2026-08-14T10:54:04.734167Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T10:54:05.265482Z","title":"Vacuum Polarization in Homogeneous Mag- netic Fields,","venue":null,"work_id":"667b8ce5-2793-4f78-89f9-3733f589f48e","year":1974},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.572480Z"},"links":{"citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:4346d642a7da18b81573282cf450a4b3f4d2cba345a08ef8fdb51c9316b4be58","observation_id":"68ad0395-44c6-4f2a-906f-991a1285f141","resolution":{"observed_at":"2026-08-14T10:54:05.269118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.08548","last_updated":"2016-11-29T19:41:20Z","snapshot_observed_at":"2026-08-14T22:25:49.758933Z","submitted_at":"2015-10-29T02:40:22Z","title":"Chiral Symmetry transition in the Linear Sigma Model with quarks: Counting effective QCD degrees of freedom from low to high temperature","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.08548","snapshot_observed_at":"2026-08-14T10:54:04.576133Z","title":"Chi- ral Symmetry transition in the Linear Sigma Model with quarks: Counting effective QCD degrees of freedom from low to high temperature","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.576133Z"},"links":{"cited_paper":"/paper/1510.08548","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:e638288f9d16ee53502fba0afd8292bc96fba00f1f963f74413c1b19e7c48031","observation_id":"113b54d0-3ea6-411c-a51d-851ee63d3312","resolution":{"observed_at":"2026-08-14T10:54:04.576133Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"nucl-th/9706075","last_updated":"1997-06-27T22:43:30Z","snapshot_observed_at":"2026-08-11T14:20:37.625857Z","submitted_at":"1997-06-26T20:58:11Z","title":"Aspects of Chiral Symmetry","version":2},"cited_work":{"arxiv_id":"nucl-th/9706075","doi":null,"metadata_source":"pith","pith_arxiv_id":"nucl-th/9706075","snapshot_observed_at":"2026-08-14T10:54:04.706115Z","title":"Aspects of Chiral Symmetry","venue":"nucl-th","work_id":"7f1758c6-0715-41dc-ad60-aeabdb992a7d","year":1997},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.579614Z"},"links":{"cited_paper":"/paper/nucl-th/9706075","citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:36f8b783c0ab0a4714e8b8c32f2b9e4a1734149ad5797ef1403e8a236621791a","observation_id":"9ad8d74f-e26b-4f8c-b00d-06a98a02451a","resolution":{"observed_at":"2026-08-14T10:54:04.710018Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"th/9512029","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T10:54:04.689655Z","title":"Introduction to chiral symmetry ,","venue":null,"work_id":"dc0b93ce-8d3e-47c8-a477-1b2d1d36d9ca","year":null},"citing_paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T10:54:04.583288Z"},"links":{"citing_paper":"/paper/1908.10323"},"observation_digest":"sha256:cd02d5268de2cbf3302e3b9a96a491210e13e149ed33617798ed3c3313b705ff","observation_id":"b7925c45-e6f5-43e9-bc7c-0e9662b33be9","resolution":{"observed_at":"2026-08-14T10:54:04.696127Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.10323","last_updated":"2020-04-28T17:09:49Z","latest_version":2,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-17T22:51:32.995460Z","submitted_at":"2019-08-27T16:55:43Z","title":"Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field"},"reference_resolution":{"displayed":48,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":13,"verified_fuzzy":6},"total_outbound_references":48},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:1908.10323."}