{"as_of":"2026-08-14T02:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:271f8d390c0a4aacd2a9df2938832a889ffc9ce5b354f3f04997568316c897a0","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T06:02:31.078679Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2412.16987/citation-record","integrity":"/paper/2412.16987/integrity","json":"/paper/2412.16987/citation-record.json","paper":"/paper/2412.16987"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"hep-th/9308075","last_updated":"1993-08-16T16:12:03Z","snapshot_observed_at":"2026-08-11T20:32:14.620483Z","submitted_at":"1993-08-16T16:12:03Z","title":"Twenty Years of the Weyl Anomaly","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9308075","snapshot_observed_at":"2026-08-11T06:02:30.984479Z","title":"Twenty years of the Weyl anomaly,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:30.984479Z"},"links":{"cited_paper":"/paper/hep-th/9308075","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:806c78dc2b120e45e9b02bec70d4816e4345a018ccc945530c98526029771496","observation_id":"c1db297f-7f7f-4f5f-93bf-321d1cfd8a75","resolution":{"observed_at":"2026-08-11T06:02:30.984479Z","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":"2026-08-11T06:02:31.403140Z","title":"Nonlocal Conformal Anom alies,","venue":null,"work_id":"3e524d46-6ce0-408c-b5b5-69f1405bb5a4","year":1976},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:30.989233Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:ba0c065166f8de28b324365b5c4055cfe42bb196d6a037fa352e9ff7fa7ceb0f","observation_id":"3fe08c7d-5beb-4c13-b796-77fe8dce2304","resolution":{"observed_at":"2026-08-11T06:02:31.407383Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T06:02:31.390698Z","title":"WEYL COCYCLES,","venue":null,"work_id":"b2632da0-131d-4dce-bba1-066242ae2d00","year":1986},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:30.993197Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:b42b7a0d1a24e9cadc38b0cd96b83d412fac9d42f0dbb39ff5e09531adf1f4ed","observation_id":"68574f61-74ab-4ff5-965b-bd0bbc2600c8","resolution":{"observed_at":"2026-08-11T06:02:31.394686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9302047","last_updated":"1993-02-12T19:08:00Z","snapshot_observed_at":"2026-07-07T05:02:33.937337Z","submitted_at":"1993-02-12T19:08:00Z","title":"Geometric Classification of Conformal Anomalies in Arbitrary Dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9302047","snapshot_observed_at":"2026-08-11T06:02:30.997732Z","title":"Geometric classiﬁcation of conform al anomalies in arbitrary dimensions,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:30.997732Z"},"links":{"cited_paper":"/paper/hep-th/9302047","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:ede4b17ef68d5b226030b8f85cd8c0f67f37a893fc3702244f89f95810f17d21","observation_id":"b8b8e5cb-fa37-45af-8e4e-848270ee2f31","resolution":{"observed_at":"2026-08-11T06:02:30.997732Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.14957","last_updated":"2023-10-04T15:59:42Z","snapshot_observed_at":"2026-08-13T10:46:45.335147Z","submitted_at":"2023-07-27T15:49:11Z","title":"Comments on Trace Anomaly Matching","version":2},"cited_work":{"arxiv_id":"2307.14957","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.14957","snapshot_observed_at":"2026-08-11T06:02:31.271677Z","title":"Comments on Trace Anomaly Matching","venue":"hep-th","work_id":"95ddeeb7-221e-401c-ac22-47e9710ec3ad","year":2023},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.002129Z"},"links":{"cited_paper":"/paper/2307.14957","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:0330ccacf4f4fc0973a76c92c9e3bc6f8c8584f3917798e521f3cdf96c5f857e","observation_id":"3816298e-6e72-4ce0-93cb-2c4c570a2b5a","resolution":{"observed_at":"2026-08-11T06:02:31.276000Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T06:02:31.376111Z","title":"On Conservation of the axial c urrent in massless electrodynamics,","venue":null,"work_id":"32e7112f-ad0b-446b-8bfc-16d6199cc921","year":1971},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.006024Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:1cf6dcaacfafb595a0617920d1685a6553018142b6e17f7cc112cbb6cd491823","observation_id":"b604142e-b4ca-4290-ac60-bf6e1ed36162","resolution":{"observed_at":"2026-08-11T06:02:31.381048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T06:02:31.009326Z","title":"The Ax ial Anomaly and the Bound State Spectrum in Conﬁning Theories,","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.009326Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:a3baef7a467d891960e933ac3ea3a14b73212fc568b8f61689e5957a2ea843d7","observation_id":"2e65b694-c640-4316-b803-7c56e6877164","resolution":{"observed_at":"2026-08-11T06:02:31.009326Z","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":"2026-08-11T06:02:31.012642Z","title":"’t Hooft’s Consistency Condition as a Consequence of Analyticity and Unitarity,","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.012642Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:b417f8ce85358918476a6738a9cdb26557bf21b437962414077cec6d6d816d3f","observation_id":"ec7a361c-3369-4288-b7b3-4df642f8dfcc","resolution":{"observed_at":"2026-08-11T06:02:31.012642Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9307010","last_updated":"1993-08-04T14:17:00Z","snapshot_observed_at":"2026-08-04T20:04:59.032244Z","submitted_at":"1993-07-02T08:16:00Z","title":"Implications of Conformal Invariance in Field Theories for General Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9307010","snapshot_observed_at":"2026-08-11T06:02:31.016389Z","title":"Implications of conformal invarian ce in ﬁeld theories for general dimensions,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.016389Z"},"links":{"cited_paper":"/paper/hep-th/9307010","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:1bf94a236e0b14eecd7d75d52b0ebd6580ea8911dc95a02ca6c83415374ec96f","observation_id":"737489d9-12e9-4e61-8e20-f3df3c8b49ab","resolution":{"observed_at":"2026-08-11T06:02:31.016389Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0103237","last_updated":"2001-12-11T15:30:02Z","snapshot_observed_at":"2026-08-12T07:24:45.278005Z","submitted_at":"2001-03-28T15:02:59Z","title":"Exact Consequences of the Trace Anomaly in Four Dimensions","version":2},"cited_work":{"arxiv_id":"hep-th/0103237","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0103237","snapshot_observed_at":"2026-08-11T06:02:31.245106Z","title":"Exact Consequences of the Trace Anomaly in Four Dimensions","venue":"hep-th","work_id":"cc8dbe6a-68a2-4c4e-b709-6777671d0395","year":2001},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.021115Z"},"links":{"cited_paper":"/paper/hep-th/0103237","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:a62c582e2ea128d68736d3ae6b0eee93df83b418a28a423d35f3b88cdcbc668b","observation_id":"8019c3da-1437-48a6-86c3-0fb02c222695","resolution":{"observed_at":"2026-08-11T06:02:31.249859Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1304.7760","last_updated":"2018-12-29T11:13:32Z","snapshot_observed_at":"2026-08-13T02:28:54.717988Z","submitted_at":"2013-04-29T19:58:04Z","title":"Implications of conformal invariance in momentum space","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.7760","snapshot_observed_at":"2026-08-11T06:02:31.025083Z","title":"Implications of con formal invari- ance in momentum space,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.025083Z"},"links":{"cited_paper":"/paper/1304.7760","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:4eaef3222069321cf2a1e5a9363ac26cc88bdbc25c8c78c511b6e5d1933142a7","observation_id":"9558d9d4-4255-4f95-a74e-5f9e0cf26626","resolution":{"observed_at":"2026-08-11T06:02:31.025083Z","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":"2026-08-11T06:02:31.362928Z","title":"A Nonlocal Action for the Trace Anomaly,","venue":null,"work_id":"c4e0b2e2-2d11-438f-b2c2-4685bc169df2","year":1984},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.029022Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:b95ebc4e39d0b2745d9b3e4715d3f8ee67fccc7c3909ba46bd92139807fdbdea","observation_id":"94805810-1cf1-4571-a67e-3f5b590a0566","resolution":{"observed_at":"2026-08-11T06:02:31.367157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9609138","last_updated":"1996-09-17T16:56:38Z","snapshot_observed_at":"2026-07-07T05:11:42.559520Z","submitted_at":"1996-09-17T16:56:38Z","title":"Conformal Anomalies -- Recent Progress","version":1},"cited_work":{"arxiv_id":"hep-th/9609138","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9609138","snapshot_observed_at":"2026-08-11T06:02:31.212860Z","title":"Conformal Anomalies -- Recent Progress","venue":"hep-th","work_id":"9bb1e7d2-173d-445d-b9a1-f0bea22e1732","year":1996},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.032467Z"},"links":{"cited_paper":"/paper/hep-th/9609138","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:2a92c7e4665c9f462c892af3cd20a28ebe90bddf639a5e520621b6b9322fb8a9","observation_id":"541a6afd-4889-4091-91af-b1a0b18f0d65","resolution":{"observed_at":"2026-08-11T06:02:31.218167Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T06:02:31.351022Z","title":"Recent progress and problems in the geometrical r epresentation of confor- mal anomalies,","venue":null,"work_id":"2afa1d53-c9e2-45a9-bc4e-7e10f5146d43","year":1997},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.037790Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:371afdccf9343c815c71d178c75eb51ba2c319ec11caed56d237088a77388f7c","observation_id":"c839929d-5748-4c3b-88f5-45d39f3131dc","resolution":{"observed_at":"2026-08-11T06:02:31.355315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9605009","last_updated":"1996-09-20T16:08:50Z","snapshot_observed_at":"2026-07-07T05:10:37.867666Z","submitted_at":"1996-04-30T15:15:10Z","title":"Conserved Currents and the Energy Momentum Tensor in Conformally Invariant Theories for General Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9605009","snapshot_observed_at":"2026-08-11T06:02:31.041324Z","title":"Conserved currents and the e nergy momentum tensor in conformally invariant theories for general dimensions,","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.041324Z"},"links":{"cited_paper":"/paper/hep-th/9605009","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:fc042bb2f138ef43c0e817881c92fe13c4199959823f5a23c8db5657d416ceff","observation_id":"386867a8-7ba8-4167-b85e-092fcf548efd","resolution":{"observed_at":"2026-08-11T06:02:31.041324Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1204.5221","last_updated":"2012-11-09T18:33:03Z","snapshot_observed_at":"2026-08-13T06:58:27.626191Z","submitted_at":"2012-04-23T22:24:57Z","title":"The $a$-theorem and the Asymptotics of 4D Quantum Field Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1204.5221","snapshot_observed_at":"2026-08-11T06:02:31.045042Z","title":"The a-theorem and the Asymptotics of 4D Quantum Field Theory,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.045042Z"},"links":{"cited_paper":"/paper/1204.5221","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:3dcb3b807a2322c5a574d9dfa6386d5da73fb6f2fcfa97e509cb330402d8ca45","observation_id":"e11964f8-bdf6-4d61-a4b8-9313c7a1213e","resolution":{"observed_at":"2026-08-11T06:02:31.045042Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.09308","last_updated":"2024-09-17T20:41:58Z","snapshot_observed_at":"2026-08-13T05:02:06.803696Z","submitted_at":"2023-12-14T19:24:20Z","title":"Trace Anomalies and the Graviton-Dilaton Amplitude","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.09308","snapshot_observed_at":"2026-08-11T06:02:31.048593Z","title":"T race Anomalies and the Graviton-Dilaton Amplitude,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.048593Z"},"links":{"cited_paper":"/paper/2312.09308","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:5272eff76e130fbbce41f05c23bc0ba6b8e3fb253b33e5932c760949b442a636","observation_id":"960e873e-643a-4d25-82ca-de824fdd2afa","resolution":{"observed_at":"2026-08-11T06:02:31.048593Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1107.3987","last_updated":"2011-08-22T11:43:01Z","snapshot_observed_at":"2026-08-13T11:54:49.119575Z","submitted_at":"2011-07-20T14:10:51Z","title":"On Renormalization Group Flows in Four Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1107.3987","snapshot_observed_at":"2026-08-11T06:02:31.052319Z","title":"On Renormalization Group F lows in Four Dimensions,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.052319Z"},"links":{"cited_paper":"/paper/1107.3987","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:a767dc5a8d14510a83b6d47eff486711971894432f64586639e8b53f4ae7aa4d","observation_id":"17e13c3e-1372-4fd7-b5c8-ffaa1b99065e","resolution":{"observed_at":"2026-08-11T06:02:31.052319Z","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":"2026-08-11T06:02:31.340442Z","title":"On the General Theory of Collisions for Particles with Spin,","venue":null,"work_id":"270fe7ed-2931-4041-8d97-9cb5bff8d432","year":1959},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.055464Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:1a4c8543393acd828b740a379cfa9894f2d5692a80b90eb63ba64faa4c774260","observation_id":"4d19d7f2-4391-4723-b24b-9652c7faadb1","resolution":{"observed_at":"2026-08-11T06:02:31.344263Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T06:02:31.329692Z","title":"Komargodski, A","venue":null,"work_id":"a94a359d-a8e4-4a3e-9f88-ff5e720faab0","year":null},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.058672Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:c2fdd923587b3bf9ccc92200f95fb6bcf6c557a40b4c730949aa09db249514c2","observation_id":"2c5898a6-4e33-47b3-9ad5-8ff8b8744aff","resolution":{"observed_at":"2026-08-11T06:02:31.333250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.14409","last_updated":"2023-09-25T18:00:00Z","snapshot_observed_at":"2026-08-13T10:05:17.471490Z","submitted_at":"2023-09-25T18:00:00Z","title":"Averaged Null Energy and the Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.14409","snapshot_observed_at":"2026-08-11T06:02:31.061697Z","title":"Averaged null energy and the ren ormalization group,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.061697Z"},"links":{"cited_paper":"/paper/2309.14409","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:f8c065d71cc6af80031275267d921f0ee7f1608ea9293e6e8cf2d35524d23feb","observation_id":"80396d0d-b1a3-43d2-904e-6184226affea","resolution":{"observed_at":"2026-08-11T06:02:31.061697Z","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":"2026-08-11T06:02:31.317655Z","title":"Weyl consistency conditions and a local renormaliz ation group equation for general renormalizable ﬁeld theories,","venue":null,"work_id":"52731e68-b8f3-4e8d-abba-a39328a208aa","year":1991},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.064992Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:b1c4660a810d892bd4ba01c3d67812c07fbbf91f8032f58b074ab64654d2477d","observation_id":"9bad1de2-6d08-4931-a6c3-48c3b03626d3","resolution":{"observed_at":"2026-08-11T06:02:31.322234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.05827","last_updated":"2025-01-08T15:12:10Z","snapshot_observed_at":"2026-07-06T08:36:51.746924Z","submitted_at":"2019-11-13T21:50:00Z","title":"Type-B Anomaly Matching and the 6D (2,0) Theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.05827","snapshot_observed_at":"2026-08-11T06:02:31.067839Z","title":"Type-B Anomaly Matching and the 6D (2,0) Theory,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.067839Z"},"links":{"cited_paper":"/paper/1911.05827","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:e15d83c0f2dc775d72f0e4873db7bdf9b4294dfac0014103f284e4199866cf4f","observation_id":"bcf8110c-897d-47b1-a8e1-6f679b25b2c0","resolution":{"observed_at":"2026-08-11T06:02:31.067839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.08375","last_updated":"2025-01-08T15:03:46Z","snapshot_observed_at":"2026-08-13T21:34:33.614013Z","submitted_at":"2020-09-17T15:40:09Z","title":"(Mis-)Matching Type-B Anomalies on the Higgs Branch","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.08375","snapshot_observed_at":"2026-08-11T06:02:31.071525Z","title":"(Mis-)M atching Type-B Anomalies on the Higgs Branch,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.071525Z"},"links":{"cited_paper":"/paper/2009.08375","citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:978c5589bd30e6e8d76e6d507b7488a6a57330247e990867efc08aa5a3aaa4a9","observation_id":"d6790243-8e10-48de-9b3b-2bfa473a9888","resolution":{"observed_at":"2026-08-11T06:02:31.071525Z","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":"2026-08-11T06:02:31.304960Z","title":"One Loop Corrections for e+e− Annihilation Intoµ+µ− in the Weinberg Model,","venue":null,"work_id":"a7735db7-0b94-4d7a-8cf8-26d1f6240eba","year":1979},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.075236Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:7528db79628565428c26308d3e810a8d6ad445db89f1db43ab5cc1847885ea2e","observation_id":"ac1d0c36-3996-4a46-8c71-5d103196b51c","resolution":{"observed_at":"2026-08-11T06:02:31.308962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.physrep.2012.01.008","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T06:02:31.106806Z","title":"One-loop ca lculations in quantum ﬁeld theory: from Feynman diagrams to unitarity cuts,","venue":null,"work_id":"987c1dff-2397-41e3-a677-5637dc1ed364","year":2012},"citing_paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T06:02:31.078679Z"},"links":{"citing_paper":"/paper/2412.16987"},"observation_digest":"sha256:28c5b5d0f86af14cc70a9bb0c025cb5eadaece036fd5b3fc40f1ad3ed5700385","observation_id":"4050bec9-efdc-4774-a6ee-3b66580f3128","resolution":{"observed_at":"2026-08-11T06:02:31.112988Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.16987","last_updated":"2024-12-22T12:05:39Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-13T19:19:13.710987Z","submitted_at":"2024-12-22T12:05:39Z","title":"Analyticity Constraints and Trace Anomaly Matching"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":4,"verified_fuzzy":9},"total_outbound_references":26},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2412.16987."}