{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:S4OWUSEJJ4CTA6C3B3QCS2U4QW","short_pith_number":"pith:S4OWUSEJ","canonical_record":{"source":{"id":"1812.09988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-12-24T21:55:34Z","cross_cats_sorted":[],"title_canon_sha256":"38f24af528883f2609bbbf886f1879f15873a104c5c8cff4835ca7feae6d6c71","abstract_canon_sha256":"ab1a79c995ea601cd89da83492431435ba04b12af060471588a2d13f8c917cb0"},"schema_version":"1.0"},"canonical_sha256":"971d6a48894f0530785b0ee0296a9c8585fc4fe956517076cb7d227dc6f6a405","source":{"kind":"arxiv","id":"1812.09988","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09988","created_at":"2026-05-17T23:57:26Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09988v1","created_at":"2026-05-17T23:57:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09988","created_at":"2026-05-17T23:57:26Z"},{"alias_kind":"pith_short_12","alias_value":"S4OWUSEJJ4CT","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S4OWUSEJJ4CTA6C3","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S4OWUSEJ","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:S4OWUSEJJ4CTA6C3B3QCS2U4QW","target":"record","payload":{"canonical_record":{"source":{"id":"1812.09988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-12-24T21:55:34Z","cross_cats_sorted":[],"title_canon_sha256":"38f24af528883f2609bbbf886f1879f15873a104c5c8cff4835ca7feae6d6c71","abstract_canon_sha256":"ab1a79c995ea601cd89da83492431435ba04b12af060471588a2d13f8c917cb0"},"schema_version":"1.0"},"canonical_sha256":"971d6a48894f0530785b0ee0296a9c8585fc4fe956517076cb7d227dc6f6a405","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:26.187627Z","signature_b64":"k3aklQr2FOOTlPjkgUt9lDwiRhvl9HV1Z+VbDwY2WrAcJ+rT4LfaXms6rf2iKIGQieA5fj4btuFx9/H7d3w1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"971d6a48894f0530785b0ee0296a9c8585fc4fe956517076cb7d227dc6f6a405","last_reissued_at":"2026-05-17T23:57:26.187066Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:26.187066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.09988","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":"2026-05-17T23:57:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KGhcl5M9XvLKb7BE5dQMIUkIH4BY7pkX9FQ5FUkAwqUo5eSri9x9p0AIrLfc9NvfKad5BX3p5qXL/LXTbNM+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:23:32.965607Z"},"content_sha256":"f14576e8e0dff9ce6a71b0f9c29f5b28ba71d9d06b1329e9c936cd430c9c1076","schema_version":"1.0","event_id":"sha256:f14576e8e0dff9ce6a71b0f9c29f5b28ba71d9d06b1329e9c936cd430c9c1076"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:S4OWUSEJJ4CTA6C3B3QCS2U4QW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Role of fluctuations on the pairing properties of nuclei in the random spacing model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"C. Constantinou, M. A. A. Mamun, M. Prakash","submitted_at":"2018-12-24T21:55:34Z","abstract_excerpt":"The influence of thermal fluctuations on fermion pairing is investigated using a semiclassical treatment of fluctuations. When the average pairing gaps along with those differing by one standard deviation are used, the characteristic discontinuity of the specific heat at the critical temperature $T_c$ in the BCS formalism with its most probable gap becomes smooth. This indicates the suppression of a second order phase transition as experimentally observed in nano-particles and several nuclei. Illustrative calculations using the constant spacing model and the recently introduced random spacing "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09988","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":"2026-05-17T23:57:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YjxGQXNiVMRCFJbP2ZDxxs5k1jJgLyj0YylHK8Y0b7zEUQtSMYim2iWUrKS/mLkSrVNLhtz/kCxM0+DhM1jHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:23:32.965963Z"},"content_sha256":"44feae9661c0bd2b6b9c2840fe919b7b6fcf41ba40f7dd4ee78436275748b386","schema_version":"1.0","event_id":"sha256:44feae9661c0bd2b6b9c2840fe919b7b6fcf41ba40f7dd4ee78436275748b386"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S4OWUSEJJ4CTA6C3B3QCS2U4QW/bundle.json","state_url":"https://pith.science/pith/S4OWUSEJJ4CTA6C3B3QCS2U4QW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S4OWUSEJJ4CTA6C3B3QCS2U4QW/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":"2026-05-28T05:23:32Z","links":{"resolver":"https://pith.science/pith/S4OWUSEJJ4CTA6C3B3QCS2U4QW","bundle":"https://pith.science/pith/S4OWUSEJJ4CTA6C3B3QCS2U4QW/bundle.json","state":"https://pith.science/pith/S4OWUSEJJ4CTA6C3B3QCS2U4QW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S4OWUSEJJ4CTA6C3B3QCS2U4QW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:S4OWUSEJJ4CTA6C3B3QCS2U4QW","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":"ab1a79c995ea601cd89da83492431435ba04b12af060471588a2d13f8c917cb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-12-24T21:55:34Z","title_canon_sha256":"38f24af528883f2609bbbf886f1879f15873a104c5c8cff4835ca7feae6d6c71"},"schema_version":"1.0","source":{"id":"1812.09988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09988","created_at":"2026-05-17T23:57:26Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09988v1","created_at":"2026-05-17T23:57:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09988","created_at":"2026-05-17T23:57:26Z"},{"alias_kind":"pith_short_12","alias_value":"S4OWUSEJJ4CT","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S4OWUSEJJ4CTA6C3","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S4OWUSEJ","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:44feae9661c0bd2b6b9c2840fe919b7b6fcf41ba40f7dd4ee78436275748b386","target":"graph","created_at":"2026-05-17T23:57:26Z","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":"The influence of thermal fluctuations on fermion pairing is investigated using a semiclassical treatment of fluctuations. When the average pairing gaps along with those differing by one standard deviation are used, the characteristic discontinuity of the specific heat at the critical temperature $T_c$ in the BCS formalism with its most probable gap becomes smooth. This indicates the suppression of a second order phase transition as experimentally observed in nano-particles and several nuclei. Illustrative calculations using the constant spacing model and the recently introduced random spacing ","authors_text":"C. Constantinou, M. A. A. Mamun, M. Prakash","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-12-24T21:55:34Z","title":"Role of fluctuations on the pairing properties of nuclei in the random spacing model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09988","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:f14576e8e0dff9ce6a71b0f9c29f5b28ba71d9d06b1329e9c936cd430c9c1076","target":"record","created_at":"2026-05-17T23:57:26Z","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":"ab1a79c995ea601cd89da83492431435ba04b12af060471588a2d13f8c917cb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-12-24T21:55:34Z","title_canon_sha256":"38f24af528883f2609bbbf886f1879f15873a104c5c8cff4835ca7feae6d6c71"},"schema_version":"1.0","source":{"id":"1812.09988","kind":"arxiv","version":1}},"canonical_sha256":"971d6a48894f0530785b0ee0296a9c8585fc4fe956517076cb7d227dc6f6a405","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"971d6a48894f0530785b0ee0296a9c8585fc4fe956517076cb7d227dc6f6a405","first_computed_at":"2026-05-17T23:57:26.187066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:26.187066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k3aklQr2FOOTlPjkgUt9lDwiRhvl9HV1Z+VbDwY2WrAcJ+rT4LfaXms6rf2iKIGQieA5fj4btuFx9/H7d3w1Bw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:26.187627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f14576e8e0dff9ce6a71b0f9c29f5b28ba71d9d06b1329e9c936cd430c9c1076","sha256:44feae9661c0bd2b6b9c2840fe919b7b6fcf41ba40f7dd4ee78436275748b386"],"state_sha256":"1a1c9a551252134235730b7af39a7b92e49b8533d0ce3d5c3eec8d0ddd3d5f59"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONOfgzYkFAJuEMa+tYsJsQtXWXt/cZGerNQbT1o/3u9OMWeRc35+KBvQgT0uoJAx8SY+w8ym3LDXCZMeHA9NCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:23:32.968041Z","bundle_sha256":"55927023f4197218a32102c37617fd599a8ff523b7d72af4d27ea735851eec67"}}