{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:KSDA4B5TRFP3D2EZ4S2D7DIYBF","short_pith_number":"pith:KSDA4B5T","canonical_record":{"source":{"id":"1009.3087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-09-16T04:35:18Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"3b20e1168998ef392202c0c9dd651bd71ade34ba2461b36ccf210b01eeff4058","abstract_canon_sha256":"fb79f78f8184612935ca7857d1804a4007a430a01dcfafa4852aa15b9f8c08d1"},"schema_version":"1.0"},"canonical_sha256":"54860e07b3895fb1e899e4b43f8d180972f1ec39b31d3c77d1d9bac6dcab6468","source":{"kind":"arxiv","id":"1009.3087","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.3087","created_at":"2026-05-18T04:28:21Z"},{"alias_kind":"arxiv_version","alias_value":"1009.3087v1","created_at":"2026-05-18T04:28:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3087","created_at":"2026-05-18T04:28:21Z"},{"alias_kind":"pith_short_12","alias_value":"KSDA4B5TRFP3","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KSDA4B5TRFP3D2EZ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KSDA4B5T","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:KSDA4B5TRFP3D2EZ4S2D7DIYBF","target":"record","payload":{"canonical_record":{"source":{"id":"1009.3087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-09-16T04:35:18Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"3b20e1168998ef392202c0c9dd651bd71ade34ba2461b36ccf210b01eeff4058","abstract_canon_sha256":"fb79f78f8184612935ca7857d1804a4007a430a01dcfafa4852aa15b9f8c08d1"},"schema_version":"1.0"},"canonical_sha256":"54860e07b3895fb1e899e4b43f8d180972f1ec39b31d3c77d1d9bac6dcab6468","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:21.554728Z","signature_b64":"7Mn63VeQh4cKB8lfDeSxLKMvEVcBOZjkf4rqC2mztxpjq7b1lPKpXTxzw6JTBvTB2bPjCICXig8/ghKXJUmGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54860e07b3895fb1e899e4b43f8d180972f1ec39b31d3c77d1d9bac6dcab6468","last_reissued_at":"2026-05-18T04:28:21.554267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:21.554267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.3087","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:28:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JVFrfCsEncLlQEK2G4JdgprMe0+Oe8w9MpLshAwWQqpWADsR94qyK0rNw/ZC6X2vDlkDHcu4X/IqQd3LwQ7mDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:51:31.329730Z"},"content_sha256":"bd5eb0e522a3748c4bdc623e7785caac40cfc6aee7bbf5fd8fbab2deb6105387","schema_version":"1.0","event_id":"sha256:bd5eb0e522a3748c4bdc623e7785caac40cfc6aee7bbf5fd8fbab2deb6105387"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:KSDA4B5TRFP3D2EZ4S2D7DIYBF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Number-conserving theory of nuclear pairing gaps: a global assessment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"nucl-th","authors_text":"Abhishek Mukherjee, G. F. Bertsch, Y. Alhassid","submitted_at":"2010-09-16T04:35:18Z","abstract_excerpt":"We study odd-even mass staggering of nuclei, also called pairing gaps, using a Skyrme self-consistent mean-field theory and a numerically exact treatment of the pairing Hamiltonian. We find that the configuration-space Monte Carlo method proposed by Cerf and Martin offers a practical computational procedure to carry out the numerical solutions in large-dimensional model spaces. Refitting the global strength of the pairing interaction for 443 neutron pairing gaps in our number-conserving treatment, we find the correction to the pairing correlation energies and pairing gaps to have rms values of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3087","kind":"arxiv","version":1},"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":"2026-05-18T04:28:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X8MXDPlgPJyT/ciSvgXBRjEAD470O74YEHmMVB3/sGKNwBHjDJcfRIRsgF3yAGRYbiCFO4EhNmQr6awkJKE2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:51:31.330079Z"},"content_sha256":"7ddc5d10d882de22379714e1a16b93ca7b61fcad51b4862d05f3adb084c287f8","schema_version":"1.0","event_id":"sha256:7ddc5d10d882de22379714e1a16b93ca7b61fcad51b4862d05f3adb084c287f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KSDA4B5TRFP3D2EZ4S2D7DIYBF/bundle.json","state_url":"https://pith.science/pith/KSDA4B5TRFP3D2EZ4S2D7DIYBF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KSDA4B5TRFP3D2EZ4S2D7DIYBF/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":"2026-06-01T17:51:31Z","links":{"resolver":"https://pith.science/pith/KSDA4B5TRFP3D2EZ4S2D7DIYBF","bundle":"https://pith.science/pith/KSDA4B5TRFP3D2EZ4S2D7DIYBF/bundle.json","state":"https://pith.science/pith/KSDA4B5TRFP3D2EZ4S2D7DIYBF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KSDA4B5TRFP3D2EZ4S2D7DIYBF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KSDA4B5TRFP3D2EZ4S2D7DIYBF","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":"fb79f78f8184612935ca7857d1804a4007a430a01dcfafa4852aa15b9f8c08d1","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-09-16T04:35:18Z","title_canon_sha256":"3b20e1168998ef392202c0c9dd651bd71ade34ba2461b36ccf210b01eeff4058"},"schema_version":"1.0","source":{"id":"1009.3087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.3087","created_at":"2026-05-18T04:28:21Z"},{"alias_kind":"arxiv_version","alias_value":"1009.3087v1","created_at":"2026-05-18T04:28:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3087","created_at":"2026-05-18T04:28:21Z"},{"alias_kind":"pith_short_12","alias_value":"KSDA4B5TRFP3","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KSDA4B5TRFP3D2EZ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KSDA4B5T","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:7ddc5d10d882de22379714e1a16b93ca7b61fcad51b4862d05f3adb084c287f8","target":"graph","created_at":"2026-05-18T04:28:21Z","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 study odd-even mass staggering of nuclei, also called pairing gaps, using a Skyrme self-consistent mean-field theory and a numerically exact treatment of the pairing Hamiltonian. We find that the configuration-space Monte Carlo method proposed by Cerf and Martin offers a practical computational procedure to carry out the numerical solutions in large-dimensional model spaces. Refitting the global strength of the pairing interaction for 443 neutron pairing gaps in our number-conserving treatment, we find the correction to the pairing correlation energies and pairing gaps to have rms values of","authors_text":"Abhishek Mukherjee, G. F. Bertsch, Y. Alhassid","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-09-16T04:35:18Z","title":"Number-conserving theory of nuclear pairing gaps: a global assessment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3087","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:bd5eb0e522a3748c4bdc623e7785caac40cfc6aee7bbf5fd8fbab2deb6105387","target":"record","created_at":"2026-05-18T04:28:21Z","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":"fb79f78f8184612935ca7857d1804a4007a430a01dcfafa4852aa15b9f8c08d1","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-09-16T04:35:18Z","title_canon_sha256":"3b20e1168998ef392202c0c9dd651bd71ade34ba2461b36ccf210b01eeff4058"},"schema_version":"1.0","source":{"id":"1009.3087","kind":"arxiv","version":1}},"canonical_sha256":"54860e07b3895fb1e899e4b43f8d180972f1ec39b31d3c77d1d9bac6dcab6468","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54860e07b3895fb1e899e4b43f8d180972f1ec39b31d3c77d1d9bac6dcab6468","first_computed_at":"2026-05-18T04:28:21.554267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:21.554267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Mn63VeQh4cKB8lfDeSxLKMvEVcBOZjkf4rqC2mztxpjq7b1lPKpXTxzw6JTBvTB2bPjCICXig8/ghKXJUmGBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:21.554728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.3087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd5eb0e522a3748c4bdc623e7785caac40cfc6aee7bbf5fd8fbab2deb6105387","sha256:7ddc5d10d882de22379714e1a16b93ca7b61fcad51b4862d05f3adb084c287f8"],"state_sha256":"573cb9e43b543d64f4e3c69d4465c1c787c60393cc5fc6b8dd4e518cd33dc8eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nUlbPUyUdHypEgLmp9DuJkAhi7CI782Hj+Vn7gIdoXweFSN8uJx7Dw08JPkitIg1S0n2Iahlbkvq7jtRHjpXAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:51:31.332107Z","bundle_sha256":"6e5b195b863fef61cb2d7547bfc12184dfd533c1861bc3797df4f618736389e8"}}