{"as_of":"2026-08-13T07:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c7c906598f3def483c7dfaee9cf1c7199e39ea5d6cb29590ee395521b3fac70d","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T04:52:47.320514Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"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/2607.22472/citation-record","integrity":"/paper/2607.22472/integrity","json":"/paper/2607.22472/citation-record.json","paper":"/paper/2607.22472"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T04:52:47.259280Z","title":"The Birman-Kre ˘in-Vishik theory of selfadjoint ex- tensions of semibounded operators","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.259280Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:67bdf3f65a0ce85ce1d82812a2aa5a470597d4b24825cf56f57a68b0ce9be85c","observation_id":"ace94dae-c894-42f9-ae56-f6150b216eb2","resolution":{"observed_at":"2026-08-01T04:52:47.259280Z","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":"2026-08-01T04:52:47.262877Z","title":"Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.262877Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:51773f9ac2282843b7ea0d7cb84834bcc81823ec8cd6e43b66b6f537aeae7162","observation_id":"8d812bde-c8c6-4bcd-b2cc-07b1986aa3f0","resolution":{"observed_at":"2026-08-01T04:52:47.262877Z","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":"2026-08-01T04:52:47.266195Z","title":"Spectral theory—basic concepts and applications, volume 284 ofGrad- uate Texts in Mathematics","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.266195Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:63d3166aad2ed406009e3a06aa96fe81d336577fcfa2c464a96f7c478f2ec7bf","observation_id":"2137d3bb-124a-49df-aedf-6169a9df43bb","resolution":{"observed_at":"2026-08-01T04:52:47.266195Z","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":"2026-08-01T04:52:47.269225Z","title":"Self-adjointness criterion for operators in Fock spaces","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.269225Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:e5eb8dfdc5bb70d17747a88d179cfbbc2b1e1a91858210f304840d82e7aa9042","observation_id":"e4868cf0-bcc7-4c0b-a7f5-6298de59ead4","resolution":{"observed_at":"2026-08-01T04:52:47.269225Z","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":"2026-08-01T04:52:47.272400Z","title":"Fr¨ ohlich, M","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.272400Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:187b854ca859334bc9f0882d6d4d21c89c0bb77a22636510e2dff31cf239fe75","observation_id":"fe7e9249-27b0-440a-a352-a4811c62bbf4","resolution":{"observed_at":"2026-08-01T04:52:47.272400Z","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":"2026-08-01T04:52:47.275689Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.275689Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:c8b579a6173921cf767865fb3e3b550f2c7ca386bc1a63d52a99aa9db1b6034a","observation_id":"fb7f3f3f-4deb-49db-8ef7-1d1287b8ee93","resolution":{"observed_at":"2026-08-01T04:52:47.275689Z","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":"2026-08-01T04:52:47.279287Z","title":"Griesemer and V","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.279287Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:25ec8c5b8b87d3c2ea63aefca4ea2147e785189d4cae55f0d36cc2ed7a4d5ae7","observation_id":"de986627-94fc-420f-8a40-e7636ab2f6c6","resolution":{"observed_at":"2026-08-01T04:52:47.279287Z","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":"2026-08-01T04:52:47.282356Z","title":"Essential selfadjointness of singular magnetic Schr¨ odinger operators on Riemannian manifolds","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.282356Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:6bd0f38fb4e44cd967041281863ec4f3c3721938d37d46f452c3dc2d602b92e6","observation_id":"1e078948-670e-434e-94eb-fc6d07d8548b","resolution":{"observed_at":"2026-08-01T04:52:47.282356Z","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":"2026-08-01T04:52:47.285733Z","title":"Hasler and I","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.285733Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:3354a05e9434103200e8719024da03182f7991d7183fd8b9240f12178206dea0","observation_id":"724f986e-776f-4110-8a68-22dcf108e1b5","resolution":{"observed_at":"2026-08-01T04:52:47.285733Z","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":"2026-08-01T04:52:47.288775Z","title":"Spectral theory and its applications, volume 139 of Cambridge Studies in Advanced Mathematics","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.288775Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:d3f7ee575ad2eaedce2cccf29d5c28f3cd707e1fbe436a49d655bb98ed828a03","observation_id":"28b468b7-74cb-4a24-8aeb-af80b38cb5f8","resolution":{"observed_at":"2026-08-01T04:52:47.288775Z","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":"2026-08-01T04:52:47.292237Z","title":"Hiroshima","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.292237Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:a7a603ccf622c5a3c2c7bf3f04c5ce26eaf7cd1e9a7b19894152d5b16a11f6e0","observation_id":"54e35c81-c015-456c-95c5-07dcbe0732bf","resolution":{"observed_at":"2026-08-01T04:52:47.292237Z","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":"2026-08-01T04:52:47.295336Z","title":"Schr¨ odinger operators with singular potentials.Israel J","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.295336Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:f11483f291c215e4a6c6917ce0b3550e3a06efb6e5c3ca7739063f978b9d10da","observation_id":"5b024ab9-1427-4051-ac00-7c4578f9ae54","resolution":{"observed_at":"2026-08-01T04:52:47.295336Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.16947","last_updated":"2026-06-16T08:03:22Z","snapshot_observed_at":"2026-08-13T00:24:35.930454Z","submitted_at":"2026-06-15T16:47:05Z","title":"Self-Adjointness of the Standard Model of Non-Relativistic QED","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.16947","snapshot_observed_at":"2026-08-01T04:52:47.298558Z","title":"Self-adjointness of the standard model of non-relativistic qed","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.298558Z"},"links":{"cited_paper":"/paper/2606.16947","citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:e261ad70c01fb8687179bd7ddb517ed95d3cc12797d080b56a1daaf67ca4ffd8","observation_id":"63ea823a-f6c4-4b67-9848-eb5dbf7f020b","resolution":{"observed_at":"2026-08-01T04:52:47.298558Z","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":"2026-08-01T04:52:47.301795Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.301795Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:a0a7a022cf99a9ec56914d7b0c28dea4683af47d7f90a7b74aa717cf6d4ae707","observation_id":"25403d9f-d901-4fb1-b26a-14b649d121f6","resolution":{"observed_at":"2026-08-01T04:52:47.301795Z","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":"2026-08-01T04:52:47.304968Z","title":null,"venue":null,"work_id":null,"year":1953},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.304968Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:3cbe4036cdf96baafa333ace46d2377da6e2a948b4c8d7af22f8147fda6f3589","observation_id":"42052aca-5bdf-4513-afef-16e264fc7b2d","resolution":{"observed_at":"2026-08-01T04:52:47.304968Z","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":"2026-08-01T04:52:47.308311Z","title":"Reed and B","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.308311Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:ff381799eb311cfd884a44137b47c54b85b04aa02a71af620ab7324109e7201e","observation_id":"a652c227-3628-469d-a2be-d2fdd70b8aa1","resolution":{"observed_at":"2026-08-01T04:52:47.308311Z","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":"2026-08-01T04:52:47.310997Z","title":"Essential self-adjointness for semi-bounded magnetic Schr¨ odinger op- erators on non-compact manifolds","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.310997Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:7759ca971741050df025cdaa82dec112adcf34c74201d52bf0d2ef5f3122e411","observation_id":"d419b5a1-f29f-42ff-86d1-eafa1c7ba570","resolution":{"observed_at":"2026-08-01T04:52:47.310997Z","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":"2026-08-01T04:52:47.313985Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.313985Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:8e135a40b725085807a5b725fe00336425e0fcd6aa04d6cedf7fb30ed1f86631","observation_id":"1fda7444-8c55-4481-aba5-6793e64ae1cb","resolution":{"observed_at":"2026-08-01T04:52:47.313985Z","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":"2026-08-01T04:52:47.317280Z","title":"A generalization of a theorem of Wienholtz concerning essen- tial selfadjointness of singular elliptic operators","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.317280Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:822aa1983a08056dd448a68c42126475b0243cebe04a899392f3a2452065942b","observation_id":"1ad2d6bd-b88c-439d-9fd1-78c620153f9b","resolution":{"observed_at":"2026-08-01T04:52:47.317280Z","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":"2026-08-01T04:52:47.320514Z","title":"Halbbeschr¨ ankte partielle Differentialoperatoren zweiter Ordnung vom elliptischen Typus","venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T04:52:47.320514Z"},"links":{"citing_paper":"/paper/2607.22472"},"observation_digest":"sha256:77d5994aa96758720e66ba32ea72d72305561d31d8f99378cec3cfa4a37aa436","observation_id":"ac05c3f9-82bd-4b70-b244-5dc9e150bd64","resolution":{"observed_at":"2026-08-01T04:52:47.320514Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.22472","last_updated":"2026-07-24T16:40:12Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-10T13:43:39.284888Z","submitted_at":"2026-07-24T16:40:12Z","title":"Essential self-adjointness of semi-bounded operators"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":20},"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 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.22472."}