{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:YZ5JQHWV5XV2T6INU2425HKP7C","short_pith_number":"pith:YZ5JQHWV","canonical_record":{"source":{"id":"nucl-th/0404046","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2004-04-16T17:33:54Z","cross_cats_sorted":[],"title_canon_sha256":"3fb70283a36eaabf037ed201f7281b26075ab6dbe02d1f70619fe0415883c538","abstract_canon_sha256":"fd327ace4e4a4d88e95c20476010cd81f36fdb5231104d38b70947566686a25c"},"schema_version":"1.0"},"canonical_sha256":"c67a981ed5edeba9f90da6b9ae9d4ff8817a616bdfc06ecbeef184db268465fc","source":{"kind":"arxiv","id":"nucl-th/0404046","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0404046","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0404046v3","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0404046","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"YZ5JQHWV5XV2","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"pith_short_16","alias_value":"YZ5JQHWV5XV2T6IN","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"pith_short_8","alias_value":"YZ5JQHWV","created_at":"2026-07-04T14:42:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:YZ5JQHWV5XV2T6INU2425HKP7C","target":"record","payload":{"canonical_record":{"source":{"id":"nucl-th/0404046","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2004-04-16T17:33:54Z","cross_cats_sorted":[],"title_canon_sha256":"3fb70283a36eaabf037ed201f7281b26075ab6dbe02d1f70619fe0415883c538","abstract_canon_sha256":"fd327ace4e4a4d88e95c20476010cd81f36fdb5231104d38b70947566686a25c"},"schema_version":"1.0"},"canonical_sha256":"c67a981ed5edeba9f90da6b9ae9d4ff8817a616bdfc06ecbeef184db268465fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:42:43.064585Z","signature_b64":"vkUBlyZ4gdFCUuG8SL40/OLL2P9PgcTf87duBnxiBwdvgwyWrSc0dAC4xgaBAtQGf33suPAKteBbi8712sZ6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c67a981ed5edeba9f90da6b9ae9d4ff8817a616bdfc06ecbeef184db268465fc","last_reissued_at":"2026-07-04T14:42:43.064192Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:42:43.064192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nucl-th/0404046","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wlCA+WZDKki8KGbbhGFINBFRKCbn1EO+Oyl0o2Qw77ZuJP5C5qelAh3VyS/Jy5r2WALIkGfM00ZRjx2K+R78CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T05:49:03.268261Z"},"content_sha256":"746b9143e3fe5fc4b94f35597ff1064041b572ab0f7b2b4998bdced2e9a5c254","schema_version":"1.0","event_id":"sha256:746b9143e3fe5fc4b94f35597ff1064041b572ab0f7b2b4998bdced2e9a5c254"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:YZ5JQHWV5XV2T6INU2425HKP7C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical relationship for the cranking inertia","license":"","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"D. N. Poenaru, R. A. Gherghescu, W. Greiner","submitted_at":"2004-04-16T17:33:54Z","abstract_excerpt":"The wave function of a spheroidal harmonic oscillator without spin-orbit interaction is expressed in terms of associated Laguerre and Hermite polynomials. The pairing gap and Fermi energy are found by solving the BCS system of two equations. Analytical relationships for the matrix elements of inertia are obtained function of the main quantum numbers and potential derivative. They may be used to test complex computer codes one should develop in a realistic approach of the fission dynamics. The results given for the $^{240}$Pu nucleus are compared with a hydrodynamical model. The importance of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0404046","kind":"arxiv","version":3},"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/nucl-th/0404046/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":"2026-07-04T14:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g951h+ImF0aKxzz+lRDSq0UETbvmWvvT5mVXZ3hqwEDpXagDGzZt29kLalABGtZsyUdiCtnOkGQq0mtEfuekDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T05:49:03.268788Z"},"content_sha256":"315843e6ca8ef0abe1897eedeca361d82d50b64f5fe5ea3b1a45741f6f57d94e","schema_version":"1.0","event_id":"sha256:315843e6ca8ef0abe1897eedeca361d82d50b64f5fe5ea3b1a45741f6f57d94e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YZ5JQHWV5XV2T6INU2425HKP7C/bundle.json","state_url":"https://pith.science/pith/YZ5JQHWV5XV2T6INU2425HKP7C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YZ5JQHWV5XV2T6INU2425HKP7C/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":"2026-08-05T05:49:03Z","links":{"resolver":"https://pith.science/pith/YZ5JQHWV5XV2T6INU2425HKP7C","bundle":"https://pith.science/pith/YZ5JQHWV5XV2T6INU2425HKP7C/bundle.json","state":"https://pith.science/pith/YZ5JQHWV5XV2T6INU2425HKP7C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YZ5JQHWV5XV2T6INU2425HKP7C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:YZ5JQHWV5XV2T6INU2425HKP7C","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":"fd327ace4e4a4d88e95c20476010cd81f36fdb5231104d38b70947566686a25c","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2004-04-16T17:33:54Z","title_canon_sha256":"3fb70283a36eaabf037ed201f7281b26075ab6dbe02d1f70619fe0415883c538"},"schema_version":"1.0","source":{"id":"nucl-th/0404046","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0404046","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0404046v3","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0404046","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"YZ5JQHWV5XV2","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"pith_short_16","alias_value":"YZ5JQHWV5XV2T6IN","created_at":"2026-07-04T14:42:43Z"},{"alias_kind":"pith_short_8","alias_value":"YZ5JQHWV","created_at":"2026-07-04T14:42:43Z"}],"graph_snapshots":[{"event_id":"sha256:315843e6ca8ef0abe1897eedeca361d82d50b64f5fe5ea3b1a45741f6f57d94e","target":"graph","created_at":"2026-07-04T14:42:43Z","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/nucl-th/0404046/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The wave function of a spheroidal harmonic oscillator without spin-orbit interaction is expressed in terms of associated Laguerre and Hermite polynomials. The pairing gap and Fermi energy are found by solving the BCS system of two equations. Analytical relationships for the matrix elements of inertia are obtained function of the main quantum numbers and potential derivative. They may be used to test complex computer codes one should develop in a realistic approach of the fission dynamics. The results given for the $^{240}$Pu nucleus are compared with a hydrodynamical model. The importance of t","authors_text":"D. N. Poenaru, R. A. Gherghescu, W. Greiner","cross_cats":[],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"2004-04-16T17:33:54Z","title":"Analytical relationship for the cranking inertia"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0404046","kind":"arxiv","version":3},"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":"sha256:746b9143e3fe5fc4b94f35597ff1064041b572ab0f7b2b4998bdced2e9a5c254","target":"record","created_at":"2026-07-04T14:42:43Z","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":"fd327ace4e4a4d88e95c20476010cd81f36fdb5231104d38b70947566686a25c","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2004-04-16T17:33:54Z","title_canon_sha256":"3fb70283a36eaabf037ed201f7281b26075ab6dbe02d1f70619fe0415883c538"},"schema_version":"1.0","source":{"id":"nucl-th/0404046","kind":"arxiv","version":3}},"canonical_sha256":"c67a981ed5edeba9f90da6b9ae9d4ff8817a616bdfc06ecbeef184db268465fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c67a981ed5edeba9f90da6b9ae9d4ff8817a616bdfc06ecbeef184db268465fc","first_computed_at":"2026-07-04T14:42:43.064192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:42:43.064192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vkUBlyZ4gdFCUuG8SL40/OLL2P9PgcTf87duBnxiBwdvgwyWrSc0dAC4xgaBAtQGf33suPAKteBbi8712sZ6Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:42:43.064585Z","signed_message":"canonical_sha256_bytes"},"source_id":"nucl-th/0404046","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:746b9143e3fe5fc4b94f35597ff1064041b572ab0f7b2b4998bdced2e9a5c254","sha256:315843e6ca8ef0abe1897eedeca361d82d50b64f5fe5ea3b1a45741f6f57d94e"],"state_sha256":"e62061bc8a79e7b91c1acd25ea301d62f88573b55c3638013531bfac31c34383"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GnJE/LDbLHn1sK3OZjBFaurPtb5qIwO0189idnLffYKeEXWaT+6VH280Ov2ISUAU7Qua+qmDUISLfy4xRJiTBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T05:49:03.273851Z","bundle_sha256":"3f7ea26fb8e13cc4bf463acd791c43c723b25517b775bd51e270bfcf4450611d"}}