{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FQCBZFM2DGNE4OHO56QWCLEPTP","short_pith_number":"pith:FQCBZFM2","schema_version":"1.0","canonical_sha256":"2c041c959a199a4e38eeefa1612c8f9bdae026eeedc7a681b01b0ffd393d0f97","source":{"kind":"arxiv","id":"1303.4055","version":1},"attestation_state":"computed","paper":{"title":"1-D Schr\\\"odinger operators with local point interactions: a review","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Aleksey Kostenko, Mark Malamud","submitted_at":"2013-03-17T12:04:35Z","abstract_excerpt":"We review recent developments in the theory of 1-D Schr\\\"odinger operators with local point interactions on a discrete set. The progress in this area was stimulated by recent advances in the extension theory of symmetric operators and in the theory of ordinary differential operators with distributional coefficients."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1303.4055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-17T12:04:35Z","cross_cats_sorted":["math.CA","math.MP","math.SP"],"title_canon_sha256":"46d17880ea8d4cf00ddf998e43a0db8d4978fcef0c3506b34ffc2852a10d95b0","abstract_canon_sha256":"07bffdd406890c3025ddf0ab2cab3f72c156dddfeffe5e418740e73f6bcc27a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:04.283063Z","signature_b64":"1mKlsEZKHrU3L6sX+f0s939G6LYyt6h1LpE+IIkNBkR6Ja4ySm7G9L/O8VZAH4GElMyFFgMQmFnizjgvtrIKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c041c959a199a4e38eeefa1612c8f9bdae026eeedc7a681b01b0ffd393d0f97","last_reissued_at":"2026-05-18T03:19:04.282410Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:04.282410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"1-D Schr\\\"odinger operators with local point interactions: a review","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Aleksey Kostenko, Mark Malamud","submitted_at":"2013-03-17T12:04:35Z","abstract_excerpt":"We review recent developments in the theory of 1-D Schr\\\"odinger operators with local point interactions on a discrete set. The progress in this area was stimulated by recent advances in the extension theory of symmetric operators and in the theory of ordinary differential operators with distributional coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4055","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1303.4055","created_at":"2026-05-18T03:19:04.282515+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.4055v1","created_at":"2026-05-18T03:19:04.282515+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4055","created_at":"2026-05-18T03:19:04.282515+00:00"},{"alias_kind":"pith_short_12","alias_value":"FQCBZFM2DGNE","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FQCBZFM2DGNE4OHO","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FQCBZFM2","created_at":"2026-05-18T12:27:45.050594+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP","json":"https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP.json","graph_json":"https://pith.science/api/pith-number/FQCBZFM2DGNE4OHO56QWCLEPTP/graph.json","events_json":"https://pith.science/api/pith-number/FQCBZFM2DGNE4OHO56QWCLEPTP/events.json","paper":"https://pith.science/paper/FQCBZFM2"},"agent_actions":{"view_html":"https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP","download_json":"https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP.json","view_paper":"https://pith.science/paper/FQCBZFM2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.4055&json=true","fetch_graph":"https://pith.science/api/pith-number/FQCBZFM2DGNE4OHO56QWCLEPTP/graph.json","fetch_events":"https://pith.science/api/pith-number/FQCBZFM2DGNE4OHO56QWCLEPTP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP/action/storage_attestation","attest_author":"https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP/action/author_attestation","sign_citation":"https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP/action/citation_signature","submit_replication":"https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP/action/replication_record"}},"created_at":"2026-05-18T03:19:04.282515+00:00","updated_at":"2026-05-18T03:19:04.282515+00:00"}