{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:KU3UKD6KXOXAUYYKX2J46YIWQV","short_pith_number":"pith:KU3UKD6K","canonical_record":{"source":{"id":"0711.3432","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-11-21T18:54:35Z","cross_cats_sorted":[],"title_canon_sha256":"14ec9acd74595128e3b8fd21efc5e2ea82eda690af3017da70b72b834bc7a038","abstract_canon_sha256":"14cf876423d356cba9dde6a42a6ded1b96a0abefa24419855a1478c0240c7976"},"schema_version":"1.0"},"canonical_sha256":"5537450fcabbae0a630abe93cf61168540431cecd965687b38aa4c7344a2537c","source":{"kind":"arxiv","id":"0711.3432","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.3432","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"0711.3432v2","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.3432","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"KU3UKD6KXOXA","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"KU3UKD6KXOXAUYYK","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"KU3UKD6K","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:KU3UKD6KXOXAUYYKX2J46YIWQV","target":"record","payload":{"canonical_record":{"source":{"id":"0711.3432","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-11-21T18:54:35Z","cross_cats_sorted":[],"title_canon_sha256":"14ec9acd74595128e3b8fd21efc5e2ea82eda690af3017da70b72b834bc7a038","abstract_canon_sha256":"14cf876423d356cba9dde6a42a6ded1b96a0abefa24419855a1478c0240c7976"},"schema_version":"1.0"},"canonical_sha256":"5537450fcabbae0a630abe93cf61168540431cecd965687b38aa4c7344a2537c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:04.548661Z","signature_b64":"011wiQgt/Pt48WDUK545IFrydYmG5KTj0cV2vggofQDBrge32TiFo81qf+ZDw7IhKWq+TNnBV5GMDbYvBFYJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5537450fcabbae0a630abe93cf61168540431cecd965687b38aa4c7344a2537c","last_reissued_at":"2026-05-18T04:09:04.548067Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:04.548067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0711.3432","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":"2026-05-18T04:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tp5GDJwe+BNvG8NsUmQn8JOFM4Uv81VfyRoIeDq65NlsAi/eUQOqWZZ38L+bpXdPUX0EVs2/7cEfweJ0E5fGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:11:46.000136Z"},"content_sha256":"0e8e91a98cbfa99a4c472b09ff4530cc1feb08075b1a7701971086f788811da8","schema_version":"1.0","event_id":"sha256:0e8e91a98cbfa99a4c472b09ff4530cc1feb08075b1a7701971086f788811da8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:KU3UKD6KXOXAUYYKX2J46YIWQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum anharmonic oscillator and its statistical properties","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Maciej M. Duras","submitted_at":"2007-11-21T18:54:35Z","abstract_excerpt":"In the present article a family of quantum anharmonic oscillators is studied using Hermite's function basis (Fock's basis) in the Hilbert space. The numerical investigation of the eigenenergies of that family is presented. The statistical properties of the calculated eigenvalues are compared with the theoretical predictions derived from the Random Matrix Theory. Conclusions are inferred."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.3432","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":""},"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":"2026-05-18T04:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+7SF/C13ftP8VDGRGHCf0JuqeTaMAorM0drQ0ZtRxFdkGcrQy+5Hrykax0ohDy9Zq2lwYS07C3g61NWVRsyIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:11:46.000504Z"},"content_sha256":"c395daf68939d1d7bcd92f4a12d81ca6af96c0bad7235a53227d71bc9467188c","schema_version":"1.0","event_id":"sha256:c395daf68939d1d7bcd92f4a12d81ca6af96c0bad7235a53227d71bc9467188c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KU3UKD6KXOXAUYYKX2J46YIWQV/bundle.json","state_url":"https://pith.science/pith/KU3UKD6KXOXAUYYKX2J46YIWQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KU3UKD6KXOXAUYYKX2J46YIWQV/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":"2026-06-27T16:11:46Z","links":{"resolver":"https://pith.science/pith/KU3UKD6KXOXAUYYKX2J46YIWQV","bundle":"https://pith.science/pith/KU3UKD6KXOXAUYYKX2J46YIWQV/bundle.json","state":"https://pith.science/pith/KU3UKD6KXOXAUYYKX2J46YIWQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KU3UKD6KXOXAUYYKX2J46YIWQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:KU3UKD6KXOXAUYYKX2J46YIWQV","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":"14cf876423d356cba9dde6a42a6ded1b96a0abefa24419855a1478c0240c7976","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-11-21T18:54:35Z","title_canon_sha256":"14ec9acd74595128e3b8fd21efc5e2ea82eda690af3017da70b72b834bc7a038"},"schema_version":"1.0","source":{"id":"0711.3432","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.3432","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"0711.3432v2","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.3432","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"KU3UKD6KXOXA","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"KU3UKD6KXOXAUYYK","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"KU3UKD6K","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:c395daf68939d1d7bcd92f4a12d81ca6af96c0bad7235a53227d71bc9467188c","target":"graph","created_at":"2026-05-18T04:09:04Z","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":"In the present article a family of quantum anharmonic oscillators is studied using Hermite's function basis (Fock's basis) in the Hilbert space. The numerical investigation of the eigenenergies of that family is presented. The statistical properties of the calculated eigenvalues are compared with the theoretical predictions derived from the Random Matrix Theory. Conclusions are inferred.","authors_text":"Maciej M. Duras","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-11-21T18:54:35Z","title":"Quantum anharmonic oscillator and its statistical properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.3432","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":"sha256:0e8e91a98cbfa99a4c472b09ff4530cc1feb08075b1a7701971086f788811da8","target":"record","created_at":"2026-05-18T04:09:04Z","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":"14cf876423d356cba9dde6a42a6ded1b96a0abefa24419855a1478c0240c7976","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-11-21T18:54:35Z","title_canon_sha256":"14ec9acd74595128e3b8fd21efc5e2ea82eda690af3017da70b72b834bc7a038"},"schema_version":"1.0","source":{"id":"0711.3432","kind":"arxiv","version":2}},"canonical_sha256":"5537450fcabbae0a630abe93cf61168540431cecd965687b38aa4c7344a2537c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5537450fcabbae0a630abe93cf61168540431cecd965687b38aa4c7344a2537c","first_computed_at":"2026-05-18T04:09:04.548067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:04.548067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"011wiQgt/Pt48WDUK545IFrydYmG5KTj0cV2vggofQDBrge32TiFo81qf+ZDw7IhKWq+TNnBV5GMDbYvBFYJAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:04.548661Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.3432","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e8e91a98cbfa99a4c472b09ff4530cc1feb08075b1a7701971086f788811da8","sha256:c395daf68939d1d7bcd92f4a12d81ca6af96c0bad7235a53227d71bc9467188c"],"state_sha256":"f77be650df032a5f764bec4c51e4bcd728012adf40d1a8a1bb1b4cebe2b1c699"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y8WuQjIW8GEx4MAhlwyRmRDF97W0ZxPE5tDDOuBQAoWeCMgGyMWLEnN3nLaJgZAyyBeX35eiabXgUNDHKUtTAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T16:11:46.002427Z","bundle_sha256":"fc4363f07051e16fed57625355e50f64944670ab75c4b5b9cf45de4a05545ed5"}}