{"as_of":"2026-08-18T13:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a5f1f5614a49c39f1837eae341c85e39edec622e5722e957259c518822912717","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T11:31:12.917632Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2606.15729/citation-record","integrity":"/paper/2606.15729/integrity","json":"/paper/2606.15729/citation-record.json","paper":"/paper/2606.15729"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T11:31:11.378750Z","title":"Beyond endoscopy via the trace formula","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:11.378750Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:c521efb9b9a537ed85ba1e0df19aa70abbbc3a30b3c942b855a0364f902e2b15","observation_id":"545e46ef-9e27-4c40-86e4-acdadbacc1f3","resolution":{"observed_at":"2026-08-02T11:31:11.378750Z","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":"2026-08-02T11:31:11.439631Z","title":"Beyond endoscopy via the trace formula","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:11.439631Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:448434c452e2abd63b01f73339560ac5aadf9e8fce87f97d4537a02c6bf1b4c1","observation_id":"7bd46346-2f8a-485e-8d36-944427b01f10","resolution":{"observed_at":"2026-08-02T11:31:11.439631Z","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":"2026-08-02T11:31:11.512334Z","title":"Andrews, Richard Askey, and Ranjan Roy.Special Functions, volume 71 ofEncyclopedia of Mathe- matics and Its Applications","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:11.512334Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:588b3b694960526e98734924d846d3dd76263c2ca02157a05d6e037e6ecbf096","observation_id":"b1163c84-f2fe-4fa1-a760-b257e92471c4","resolution":{"observed_at":"2026-08-02T11:31:11.512334Z","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":"2026-08-02T11:31:11.587926Z","title":"Hankel transform, Langlands functoriality and functional equation of automorphicL-functions","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:11.587926Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:4df50222484a7e3073467695c69b56d74eb5848b2ef1964accfdcfec366ae05e","observation_id":"f8d70fc5-26e0-4b66-929c-04dd20b2b191","resolution":{"observed_at":"2026-08-02T11:31:11.587926Z","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":"2026-08-02T11:31:11.666911Z","title":"Beyond Endoscopy for GL(3,Q): Poisson Summation","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:11.666911Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:ff6aa95309f896370f54e4aa53f8f1557bbdbdc6488546a4a35a0e9ecc529413","observation_id":"513b36c0-4647-415b-b926-401bd40f2f2e","resolution":{"observed_at":"2026-08-02T11:31:11.666911Z","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":"2026-08-02T11:31:11.744893Z","title":"A relation between automorphic representations of GL(2) and GL(3).Ann","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:11.744893Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:958cd6b5e8a74de4566bba7d7d2ddcc7ab5114851d9c2b002b13c9a054d9bf89","observation_id":"6918b1dc-ffda-4f54-b6d8-e24144f8431b","resolution":{"observed_at":"2026-08-02T11:31:11.744893Z","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":"2026-08-02T11:31:11.818721Z","title":"Springer, Berlin, 1972","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:11.818721Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:3e5b2582a922e2df1aed34a02f1e34d415869ffac1fe3f09758100c0889f8617","observation_id":"4d9d7848-7ad9-4f18-abc5-9399234ca5ea","resolution":{"observed_at":"2026-08-02T11:31:11.818721Z","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":"2026-08-02T11:31:11.880097Z","title":"Gonz´ alez, Chung Hang Kwan, Steven J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:11.880097Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:332ad78d50015831401bad1df9d9e90cc497c27a5b9434fefc02f785b3698c54","observation_id":"e9dcb152-3a83-401e-b62d-697e95a92f37","resolution":{"observed_at":"2026-08-02T11:31:11.880097Z","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":"2026-08-02T11:31:11.974569Z","title":"Edward Herman","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:11.974569Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:107fb65add78aaabc60776454d1d6fcefcedcf64e3f6d36de41cbb4f6dc89ca3","observation_id":"0acdc3cc-467f-4754-8bbf-80f6e4e1d9cf","resolution":{"observed_at":"2026-08-02T11:31:11.974569Z","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":"2026-08-02T11:31:12.038129Z","title":"Jacquet and D","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.038129Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:a0e80a847722901e977844a055070b74f2fdb83d129ec727871b269716d3cd7f","observation_id":"f6cfdaf8-d721-4e92-b651-526d597b0ef2","resolution":{"observed_at":"2026-08-02T11:31:12.038129Z","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":"2026-08-02T11:31:12.104712Z","title":"Kim and Freydoon Shahidi","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.104712Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:589186609ecc978121f7d829deea38a6d31fd8d9ed116d1b384845364e5ebed8","observation_id":"a9abc4de-e878-4193-a7df-09ec4ca83137","resolution":{"observed_at":"2026-08-02T11:31:12.104712Z","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":"2026-08-02T11:31:12.157091Z","title":"Knightly and C","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.157091Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:4066895ff3e498afb6ab0e9d27579589186cf9b66f964d3f18f861ab802df9c0","observation_id":"03d1ee3b-69ff-4d45-83bf-a65eee932f9f","resolution":{"observed_at":"2026-08-02T11:31:12.157091Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.16921","last_updated":"2025-01-09T02:03:09Z","snapshot_observed_at":"2026-08-16T13:07:02.028752Z","submitted_at":"2024-10-22T11:55:14Z","title":"Trace formula and functional equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.16921","snapshot_observed_at":"2026-08-02T11:31:12.343758Z","title":"Trace formula and functional equation.arXiv preprint arXiv:2410.16921, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.343758Z"},"links":{"cited_paper":"/paper/2410.16921","citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:987edf730371fe9d78381f8476c86fdbea7260c7c7bb3c75c144368ef92865ef","observation_id":"009e9158-1151-4c1b-a6bf-2f787d3ccf46","resolution":{"observed_at":"2026-08-02T11:31:12.343758Z","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":"2026-08-02T11:31:12.410726Z","title":"Langlands","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.410726Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:ff61f1922fcffc5b1820a19e85603d1d10da348a6b58ce65cb4944e3a2bfdc0e","observation_id":"e444a870-4d0c-4ec7-9ad1-5643a5d2903d","resolution":{"observed_at":"2026-08-02T11:31:12.410726Z","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":"2026-08-02T11:31:12.496890Z","title":"Miller and Wilfried Schmid","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.496890Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:b93c39ca8134df58fe47c9a4a68b72d764cd7c985d8670be86ab5cfb291b020e","observation_id":"5e3436fe-ac38-47dd-89c9-2941028008e0","resolution":{"observed_at":"2026-08-02T11:31:12.496890Z","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":"2026-08-02T11:31:12.627941Z","title":"Beyond endoscopy for the relative trace formula","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.627941Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:a99fc02d315453350a6584fe3eeff35261fcb5a1dd3dfbc3197e12bfa72bd211","observation_id":"34cd0c99-6107-467a-94bf-19dc2a5346d5","resolution":{"observed_at":"2026-08-02T11:31:12.627941Z","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":"2026-08-02T11:31:12.750118Z","title":"Princeton University, 2002","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.750118Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:51078f4f1c6e8111387e364e7f6fbf582b109a509086556d0d45237b663b15e9","observation_id":"1d134a73-35ff-4955-b201-95c08081aed3","resolution":{"observed_at":"2026-08-02T11:31:12.750118Z","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":"2026-08-02T11:31:12.856052Z","title":null,"venue":null,"work_id":null,"year":1944},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.856052Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:e5631238bc3d4bad5582b9f8ad5f234d736eb1f5c18e9f6aaf1496db4be6473a","observation_id":"6e24557b-972c-4f98-8ee8-2f0b95fc3259","resolution":{"observed_at":"2026-08-02T11:31:12.856052Z","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":"2026-08-02T11:31:12.917632Z","title":"Modular forms whose fourier coefficients involve zeta-functions of quadratic fields","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T11:31:12.917632Z"},"links":{"citing_paper":"/paper/2606.15729"},"observation_digest":"sha256:c37cd0b79eaa2b4994f5dae54586c04b82d0feda243e33e42b42e3c2852831c2","observation_id":"cf11fcad-20a6-4a31-8eb6-3fefcec57df4","resolution":{"observed_at":"2026-08-02T11:31:12.917632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.15729","last_updated":"2026-07-16T03:36:21Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-12T03:49:29.604653Z","submitted_at":"2026-06-14T10:23:27Z","title":"A trace formula derivation of the functional equation for symmetric square L-functions"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":19},"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 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2606.15729."}