{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:DBDUE6TSHQUM3QFO3Z6236MV3F","short_pith_number":"pith:DBDUE6TS","schema_version":"1.0","canonical_sha256":"1847427a723c28cdc0aede7dadf995d9761ea6114510f6048e01a7d3cdb180d6","source":{"kind":"arxiv","id":"1009.3612","version":1},"attestation_state":"computed","paper":{"title":"Delta function singularity in the Reduction of Radial Schrodinger Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"A.Khelashvili, T.Nadareishvili","submitted_at":"2010-09-19T07:04:05Z","abstract_excerpt":"We obtain the extra delta-like singularity while reduction of the Laplace operator in spherical coordinates, elimination of which restricts the radial wave functions at the origin. This restriction has the form of boundary condition for the radial wave function."},"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":"1009.3612","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-19T07:04:05Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"3bf6e0455ec320f9ec9d55e0b9999155c76ff462e2484c8ceac1e23b327f8ffa","abstract_canon_sha256":"aed2d20087992392821def52a63f6d6ff2abc552f9fd417529740123d37c5670"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:34.898217Z","signature_b64":"Mcd2FJ6zXkebHagcrrG3q7lgX6iOtQWzeMpDVSv/i/ElWlIIzyxkh/OA+kUhjeQ4fkAc2Rw00FrsLz7ogAfxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1847427a723c28cdc0aede7dadf995d9761ea6114510f6048e01a7d3cdb180d6","last_reissued_at":"2026-05-18T04:40:34.897572Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:34.897572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Delta function singularity in the Reduction of Radial Schrodinger Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"A.Khelashvili, T.Nadareishvili","submitted_at":"2010-09-19T07:04:05Z","abstract_excerpt":"We obtain the extra delta-like singularity while reduction of the Laplace operator in spherical coordinates, elimination of which restricts the radial wave functions at the origin. This restriction has the form of boundary condition for the radial wave function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3612","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":"1009.3612","created_at":"2026-05-18T04:40:34.897669+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.3612v1","created_at":"2026-05-18T04:40:34.897669+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3612","created_at":"2026-05-18T04:40:34.897669+00:00"},{"alias_kind":"pith_short_12","alias_value":"DBDUE6TSHQUM","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"DBDUE6TSHQUM3QFO","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"DBDUE6TS","created_at":"2026-05-18T12:26:06.534383+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/DBDUE6TSHQUM3QFO3Z6236MV3F","json":"https://pith.science/pith/DBDUE6TSHQUM3QFO3Z6236MV3F.json","graph_json":"https://pith.science/api/pith-number/DBDUE6TSHQUM3QFO3Z6236MV3F/graph.json","events_json":"https://pith.science/api/pith-number/DBDUE6TSHQUM3QFO3Z6236MV3F/events.json","paper":"https://pith.science/paper/DBDUE6TS"},"agent_actions":{"view_html":"https://pith.science/pith/DBDUE6TSHQUM3QFO3Z6236MV3F","download_json":"https://pith.science/pith/DBDUE6TSHQUM3QFO3Z6236MV3F.json","view_paper":"https://pith.science/paper/DBDUE6TS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.3612&json=true","fetch_graph":"https://pith.science/api/pith-number/DBDUE6TSHQUM3QFO3Z6236MV3F/graph.json","fetch_events":"https://pith.science/api/pith-number/DBDUE6TSHQUM3QFO3Z6236MV3F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DBDUE6TSHQUM3QFO3Z6236MV3F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DBDUE6TSHQUM3QFO3Z6236MV3F/action/storage_attestation","attest_author":"https://pith.science/pith/DBDUE6TSHQUM3QFO3Z6236MV3F/action/author_attestation","sign_citation":"https://pith.science/pith/DBDUE6TSHQUM3QFO3Z6236MV3F/action/citation_signature","submit_replication":"https://pith.science/pith/DBDUE6TSHQUM3QFO3Z6236MV3F/action/replication_record"}},"created_at":"2026-05-18T04:40:34.897669+00:00","updated_at":"2026-05-18T04:40:34.897669+00:00"}