{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7XPHFIIRF2NPTDDW6YJJQXALM6","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":"c09169332d2d217ce93b66726233b9e37db6453844329d0c336ab1324c700f8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T17:16:38Z","title_canon_sha256":"e920b62e77f8d92d89262e377fea7eb459584959aa8a2e28e4571c60772d8966"},"schema_version":"1.0","source":{"id":"1103.0736","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0736","created_at":"2026-05-18T04:27:27Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0736v1","created_at":"2026-05-18T04:27:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0736","created_at":"2026-05-18T04:27:27Z"},{"alias_kind":"pith_short_12","alias_value":"7XPHFIIRF2NP","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7XPHFIIRF2NPTDDW","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7XPHFIIR","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:9cbf1b6bef09c1a8f6c7bb57ae3cd9d6ce70face768b48b2bb57c1e44b1d7776","target":"graph","created_at":"2026-05-18T04:27:27Z","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":"A procedure to obtain the eigenenergies and eigenfunctions of a quantum spiked oscillator is presented. The originality of the method lies in an adequate use of asymptotic expansions of Wronskians of algebraic solutions of the Schroedinger equation. The procedure is applied to three familiar examples of spiked oscillators.","authors_text":"F. J. Gomez, J. Sesma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T17:16:38Z","title":"Spiked oscillators: exact solution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0736","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:b817c6b0f8d59ef26e35841625b9d5eff768ea76ba855fea6fec0b452676d17a","target":"record","created_at":"2026-05-18T04:27:27Z","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":"c09169332d2d217ce93b66726233b9e37db6453844329d0c336ab1324c700f8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T17:16:38Z","title_canon_sha256":"e920b62e77f8d92d89262e377fea7eb459584959aa8a2e28e4571c60772d8966"},"schema_version":"1.0","source":{"id":"1103.0736","kind":"arxiv","version":1}},"canonical_sha256":"fdde72a1112e9af98c76f612985c0b6794eb326ff00ea5c52a0e5072fcb9f55e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdde72a1112e9af98c76f612985c0b6794eb326ff00ea5c52a0e5072fcb9f55e","first_computed_at":"2026-05-18T04:27:27.419487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:27.419487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tAS7FAOHqBCldpb8dzAQ7KYFGBC554mUpYLT+Rerr92PFjDU7RyWIt9jIyvlzYFviBlPB0yQiqg+W1u4NH6bBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:27.419948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0736","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b817c6b0f8d59ef26e35841625b9d5eff768ea76ba855fea6fec0b452676d17a","sha256:9cbf1b6bef09c1a8f6c7bb57ae3cd9d6ce70face768b48b2bb57c1e44b1d7776"],"state_sha256":"024a4e051c588f4e0338dba05d52b376b49e6797ca17e5d7384849c65cdf79bc"}