{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:FGCE3NLD4QVUCPVCDWWGSJE365","short_pith_number":"pith:FGCE3NLD","canonical_record":{"source":{"id":"quant-ph/9908016","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1999-08-04T12:52:04Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"1a495683468788b9f00653b218f4a1b94c5288fdf4f045b2503535725ed27575","abstract_canon_sha256":"a2b792b050c31a9d62da096e37300f3d0e083a3d8b87f8ee1da749352e285a18"},"schema_version":"1.0"},"canonical_sha256":"29844db563e42b413ea21dac69249bf77118e509217a3022ed543ceb2f621e45","source":{"kind":"arxiv","id":"quant-ph/9908016","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9908016","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9908016v2","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9908016","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"FGCE3NLD4QVU","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"pith_short_16","alias_value":"FGCE3NLD4QVUCPVC","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"pith_short_8","alias_value":"FGCE3NLD","created_at":"2026-07-04T16:15:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:FGCE3NLD4QVUCPVCDWWGSJE365","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/9908016","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1999-08-04T12:52:04Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"1a495683468788b9f00653b218f4a1b94c5288fdf4f045b2503535725ed27575","abstract_canon_sha256":"a2b792b050c31a9d62da096e37300f3d0e083a3d8b87f8ee1da749352e285a18"},"schema_version":"1.0"},"canonical_sha256":"29844db563e42b413ea21dac69249bf77118e509217a3022ed543ceb2f621e45","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:15:44.507857Z","signature_b64":"x+AkeaC92opk4ITGy7bR2GnoXJ/vS3jckZSXOTmZrQJQNo8b9+moMYB5+Bu+NU19IMjRS84sQjbp9DSRQcBKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29844db563e42b413ea21dac69249bf77118e509217a3022ed543ceb2f621e45","last_reissued_at":"2026-07-04T16:15:44.507422Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:15:44.507422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/9908016","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qJNXbsOXSVppIjvA0d1+IePKfb1A0RGKDSPfqwZiTXUa8zbXETBO5LqKOvL4DVrgCBOxQ/v9eiwXCxme+KRlBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T17:20:21.383104Z"},"content_sha256":"f55630be687ebe6773d4a972b2ac9fdd624acbdc9a586234e93ad7439f60182b","schema_version":"1.0","event_id":"sha256:f55630be687ebe6773d4a972b2ac9fdd624acbdc9a586234e93ad7439f60182b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:FGCE3NLD4QVUCPVCDWWGSJE365","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Parabolic Sombrero","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"S. Ter-Antonyan, V. Ter-Antonyan, Ye. Hakobyan","submitted_at":"1999-08-04T12:52:04Z","abstract_excerpt":"We have discussed the energy levels and probability distribution density for a quantum particle placed in the two-dimensional sombrero-shaped potential $V(\\rho,\\rho_0)=\\mu\\omega^2|\\rho^2-\\rho_0^2|/2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9908016","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/9908016/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gpcXIUSrVg4Kx1ulnkEOGIt4BvLRtXUjh44z7KnQDSj/KpvAw4EEoqpEEKS+O0TQrUBW7ColPCh2kR3zX3iaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T17:20:21.383493Z"},"content_sha256":"1400bfe30195d78692ca3286a9cebc006ec9fe7343abcf00b4410adc40db6b7e","schema_version":"1.0","event_id":"sha256:1400bfe30195d78692ca3286a9cebc006ec9fe7343abcf00b4410adc40db6b7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FGCE3NLD4QVUCPVCDWWGSJE365/bundle.json","state_url":"https://pith.science/pith/FGCE3NLD4QVUCPVCDWWGSJE365/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FGCE3NLD4QVUCPVCDWWGSJE365/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-08T17:20:21Z","links":{"resolver":"https://pith.science/pith/FGCE3NLD4QVUCPVCDWWGSJE365","bundle":"https://pith.science/pith/FGCE3NLD4QVUCPVCDWWGSJE365/bundle.json","state":"https://pith.science/pith/FGCE3NLD4QVUCPVCDWWGSJE365/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FGCE3NLD4QVUCPVCDWWGSJE365/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:FGCE3NLD4QVUCPVCDWWGSJE365","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":"a2b792b050c31a9d62da096e37300f3d0e083a3d8b87f8ee1da749352e285a18","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"1999-08-04T12:52:04Z","title_canon_sha256":"1a495683468788b9f00653b218f4a1b94c5288fdf4f045b2503535725ed27575"},"schema_version":"1.0","source":{"id":"quant-ph/9908016","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9908016","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9908016v2","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9908016","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"FGCE3NLD4QVU","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"pith_short_16","alias_value":"FGCE3NLD4QVUCPVC","created_at":"2026-07-04T16:15:44Z"},{"alias_kind":"pith_short_8","alias_value":"FGCE3NLD","created_at":"2026-07-04T16:15:44Z"}],"graph_snapshots":[{"event_id":"sha256:1400bfe30195d78692ca3286a9cebc006ec9fe7343abcf00b4410adc40db6b7e","target":"graph","created_at":"2026-07-04T16:15:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/9908016/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We have discussed the energy levels and probability distribution density for a quantum particle placed in the two-dimensional sombrero-shaped potential $V(\\rho,\\rho_0)=\\mu\\omega^2|\\rho^2-\\rho_0^2|/2$.","authors_text":"S. Ter-Antonyan, V. Ter-Antonyan, Ye. Hakobyan","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1999-08-04T12:52:04Z","title":"Quantum Parabolic Sombrero"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9908016","kind":"arxiv","version":2},"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:f55630be687ebe6773d4a972b2ac9fdd624acbdc9a586234e93ad7439f60182b","target":"record","created_at":"2026-07-04T16:15:44Z","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":"a2b792b050c31a9d62da096e37300f3d0e083a3d8b87f8ee1da749352e285a18","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"1999-08-04T12:52:04Z","title_canon_sha256":"1a495683468788b9f00653b218f4a1b94c5288fdf4f045b2503535725ed27575"},"schema_version":"1.0","source":{"id":"quant-ph/9908016","kind":"arxiv","version":2}},"canonical_sha256":"29844db563e42b413ea21dac69249bf77118e509217a3022ed543ceb2f621e45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29844db563e42b413ea21dac69249bf77118e509217a3022ed543ceb2f621e45","first_computed_at":"2026-07-04T16:15:44.507422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:15:44.507422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x+AkeaC92opk4ITGy7bR2GnoXJ/vS3jckZSXOTmZrQJQNo8b9+moMYB5+Bu+NU19IMjRS84sQjbp9DSRQcBKAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:15:44.507857Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9908016","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f55630be687ebe6773d4a972b2ac9fdd624acbdc9a586234e93ad7439f60182b","sha256:1400bfe30195d78692ca3286a9cebc006ec9fe7343abcf00b4410adc40db6b7e"],"state_sha256":"d18a7edaf3bc2ffa264499fd0325e117cd428ffca9a9a819ff8ee8ef5e6669e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DFGZWHMSeziKSRTcr6uRDTTBUD+9a42jzdT6QHE1+8qgdhKnOMHLl/i1+RauyE6Bof4AOdXiWpbvlBx9D9rOCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T17:20:21.385486Z","bundle_sha256":"930ae1c997cd5cbb6d1ca8f332f9bb85a9fe6e0e7e877791a5fe74aa5be379e3"}}