{"as_of":"2026-08-07T06:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c3b8a6d8a6dab2f2b056b63bf35f016512302884c81d4b80c74ccc9147221362","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T21:59:51.619668Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2511.13470/citation-record","integrity":"/paper/2511.13470/integrity","json":"/paper/2511.13470/citation-record.json","paper":"/paper/2511.13470"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:59:50.661598Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T21:59:50.661598Z"},"links":{"citing_paper":"/paper/2511.13470"},"observation_digest":"sha256:57d0e6d33223befd1004f08f838e346d8b83460d77a78630ba6a108b2670785c","observation_id":"73247d55-9d1b-4dae-9904-dcfc51078f95","resolution":{"observed_at":"2026-08-03T21:59:50.661598Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.02857","last_updated":"2025-09-02T22:04:20Z","snapshot_observed_at":"2026-08-05T11:33:15.825502Z","submitted_at":"2025-09-02T22:04:20Z","title":"Magnetic Double-Wells: Absence of Tunneling","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.02857","snapshot_observed_at":"2026-08-03T21:59:51.100327Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T21:59:51.100327Z"},"links":{"cited_paper":"/paper/2509.02857","citing_paper":"/paper/2511.13470"},"observation_digest":"sha256:16d139c02a5b4be8e23a5cbb1526f513b6253bd85df9e0be0512aa7b735e9a40","observation_id":"72842b56-ed58-4886-a556-c656aaefd369","resolution":{"observed_at":"2026-08-03T21:59:51.100327Z","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":"2026-08-03T21:59:50.799895Z","title":"Providence, RI: American Mathematical Society, 2010, pp","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T21:59:50.799895Z"},"links":{"citing_paper":"/paper/2511.13470"},"observation_digest":"sha256:694571f76c5bb8bf0cea288738889887b55826f43baf188a943edb73c73b6abb","observation_id":"1d27a85e-42e6-476d-b2b8-37ab53e0c037","resolution":{"observed_at":"2026-08-03T21:59:50.799895Z","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":"2026-08-03T21:59:51.472694Z","title":"New York: McGraw-Hill,","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling","version":2},"reference_index":1981,"source":"pdf_text","source_observed_at":"2026-08-03T21:59:51.472694Z"},"links":{"citing_paper":"/paper/2511.13470"},"observation_digest":"sha256:244c0609501d4ef4e010755634b3acb8081af8dc708a4174b59f2a5ceb168bc3","observation_id":"6fdd0509-4a0a-4cfe-afa3-23ce9c05730e","resolution":{"observed_at":"2026-08-03T21:59:51.472694Z","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":"2026-08-03T21:59:51.516226Z","title":"and Weinstein, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling","version":2},"reference_index":1987,"source":"pdf_text","source_observed_at":"2026-08-03T21:59:51.516226Z"},"links":{"citing_paper":"/paper/2511.13470"},"observation_digest":"sha256:fd0545d4fe596cb4c081468d5bd029b3b15cbca42573e8ce9190b3d1261fe4b3","observation_id":"cf96825a-958e-4cf3-968c-e2951f61634a","resolution":{"observed_at":"2026-08-03T21:59:51.516226Z","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":"2026-08-03T21:59:51.224625Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling","version":2},"reference_index":1988,"source":"pdf_text","source_observed_at":"2026-08-03T21:59:51.224625Z"},"links":{"citing_paper":"/paper/2511.13470"},"observation_digest":"sha256:a6c04971db300fd322dc9997bb4668e33fd501a5ce0714553bbc4d984359d5e5","observation_id":"91baa740-3f58-4884-acec-058fc39aba37","resolution":{"observed_at":"2026-08-03T21:59:51.224625Z","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":"2026-08-03T21:59:51.619668Z","title":"Rev.134, A1602–A1606 (1964) 81","venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling","version":2},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-03T21:59:51.619668Z"},"links":{"citing_paper":"/paper/2511.13470"},"observation_digest":"sha256:6272a0157cb330fc79e34c285f82562393f4308ed1a816ba708d89c36c57f827","observation_id":"cd065e6d-21b6-4803-afbf-7e434d87638c","resolution":{"observed_at":"2026-08-03T21:59:51.619668Z","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":"2026-08-03T21:59:51.374925Z","title":"80 [LL81] Landau, L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-03T21:59:51.374925Z"},"links":{"citing_paper":"/paper/2511.13470"},"observation_digest":"sha256:6d7a67082da597156f054e2d071ef09c0bbacb1ad739b486dc9b90760eaafb84","observation_id":"b13e9da8-ce43-4ace-afc0-78284ed61f6c","resolution":{"observed_at":"2026-08-03T21:59:51.374925Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.12650","last_updated":"2025-06-14T22:35:36Z","snapshot_observed_at":"2026-08-07T00:42:18.328945Z","submitted_at":"2025-06-14T22:35:36Z","title":"Lower Bounds on Quantum Tunneling for Excited States","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.12650","snapshot_observed_at":"2026-08-03T21:59:50.931678Z","title":"[FSW25b] Fefferman, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-03T21:59:50.931678Z"},"links":{"cited_paper":"/paper/2506.12650","citing_paper":"/paper/2511.13470"},"observation_digest":"sha256:8a828a01e2e371140304589d7563721a296efc728c35713b87ae9aa8f708c5dd","observation_id":"56ad3e86-b93f-4073-b393-c3c74a667ce4","resolution":{"observed_at":"2026-08-03T21:59:50.931678Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2511.13470","last_updated":"2026-06-18T08:02:47Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-08-03T21:59:46.523694Z","submitted_at":"2025-11-17T15:11:09Z","title":"Magnetic Double-Wells: Lower Bounds on Tunneling"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":9},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2511.13470."}