{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DBDUE6TSHQUM3QFO3Z6236MV3F","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"aed2d20087992392821def52a63f6d6ff2abc552f9fd417529740123d37c5670","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-19T07:04:05Z","title_canon_sha256":"3bf6e0455ec320f9ec9d55e0b9999155c76ff462e2484c8ceac1e23b327f8ffa"},"schema_version":"1.0","source":{"id":"1009.3612","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.3612","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"arxiv_version","alias_value":"1009.3612v1","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3612","created_at":"2026-05-18T04:40:34Z"},{"alias_kind":"pith_short_12","alias_value":"DBDUE6TSHQUM","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DBDUE6TSHQUM3QFO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DBDUE6TS","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:93b014c15d3172ea82f2b72965580d2a26c870f11b81ddcec3ebb61750564980","target":"graph","created_at":"2026-05-18T04:40:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"A.Khelashvili, T.Nadareishvili","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-19T07:04:05Z","title":"Delta function singularity in the Reduction of Radial Schrodinger Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3612","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:37b436406b831dd19b80f2097e4938e0374153df8a00f75060730a62fd58b604","target":"record","created_at":"2026-05-18T04:40:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"aed2d20087992392821def52a63f6d6ff2abc552f9fd417529740123d37c5670","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-19T07:04:05Z","title_canon_sha256":"3bf6e0455ec320f9ec9d55e0b9999155c76ff462e2484c8ceac1e23b327f8ffa"},"schema_version":"1.0","source":{"id":"1009.3612","kind":"arxiv","version":1}},"canonical_sha256":"1847427a723c28cdc0aede7dadf995d9761ea6114510f6048e01a7d3cdb180d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1847427a723c28cdc0aede7dadf995d9761ea6114510f6048e01a7d3cdb180d6","first_computed_at":"2026-05-18T04:40:34.897572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:34.897572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mcd2FJ6zXkebHagcrrG3q7lgX6iOtQWzeMpDVSv/i/ElWlIIzyxkh/OA+kUhjeQ4fkAc2Rw00FrsLz7ogAfxDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:34.898217Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.3612","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37b436406b831dd19b80f2097e4938e0374153df8a00f75060730a62fd58b604","sha256:93b014c15d3172ea82f2b72965580d2a26c870f11b81ddcec3ebb61750564980"],"state_sha256":"c8236058536f8ca78e8dbf324550c1fe4cdc273996da955e9c565d6dda609bf2"}