{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:LND7EYS4FATRHHIOTZDQZUEFLH","short_pith_number":"pith:LND7EYS4","canonical_record":{"source":{"id":"1509.02616","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2015-09-09T02:46:34Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"cacb40b26cd908bb8e8fcecfc3a9db81eec138d1dea55e11d433e8b5b74e8947","abstract_canon_sha256":"4e0a411232937d0935cb85339839d01cbb7503dd3a52555effe8bcd5808129e9"},"schema_version":"1.0"},"canonical_sha256":"5b47f2625c2827139d0e9e470cd08559f0c48b0690a5286728ff712e6cc02e19","source":{"kind":"arxiv","id":"1509.02616","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02616","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02616v2","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02616","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"pith_short_12","alias_value":"LND7EYS4FATR","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LND7EYS4FATRHHIO","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LND7EYS4","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:LND7EYS4FATRHHIOTZDQZUEFLH","target":"record","payload":{"canonical_record":{"source":{"id":"1509.02616","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2015-09-09T02:46:34Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"cacb40b26cd908bb8e8fcecfc3a9db81eec138d1dea55e11d433e8b5b74e8947","abstract_canon_sha256":"4e0a411232937d0935cb85339839d01cbb7503dd3a52555effe8bcd5808129e9"},"schema_version":"1.0"},"canonical_sha256":"5b47f2625c2827139d0e9e470cd08559f0c48b0690a5286728ff712e6cc02e19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:44.657094Z","signature_b64":"z6GzhUuXYvjPgnmaJwBURSMBz+NqH1T8aRrhIZIG7wlntD+I66uwfa93Jj/ZTaGot2n1sIuqTixcm5sO+hMMCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b47f2625c2827139d0e9e470cd08559f0c48b0690a5286728ff712e6cc02e19","last_reissued_at":"2026-05-18T01:21:44.656485Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:44.656485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.02616","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":"2026-05-18T01:21:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WnEuBL01r9KuoAXizcw/XesaSQOREj0Lb1gVrJPhWMLPmma7XIgWjRy01tR0JjjxpH2+azocE7xl/Z3Ipb99CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:35:38.836678Z"},"content_sha256":"fdd206d74d7bc19fe46794038ab36e772ff91d7948a213571300f1f1ec375d67","schema_version":"1.0","event_id":"sha256:fdd206d74d7bc19fe46794038ab36e772ff91d7948a213571300f1f1ec375d67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:LND7EYS4FATRHHIOTZDQZUEFLH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Second-Order Thomas-Fermi Method for Superfluid Fermi Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"nucl-th","authors_text":"J.C. Pei, Na Fei, P. Schuck, Y.N. Zhang","submitted_at":"2015-09-09T02:46:34Z","abstract_excerpt":"Using the $\\hbar$-expansion of the Green's function of the Hartree-Fock-Bogoliubov equation, we extend the second-order Thomas-Fermi approximation to generalized superfluid Fermi systems by including the density-dependent effective mass and the spin-orbit potential. We first implement and examine the full correction terms over different energy intervals of the quasiparticle spectra in calculations of finite nuclei. Final applications of this generalized Thomas-Fermi method are intended for various inhomogeneous superfluid Fermi systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02616","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":"2026-05-18T01:21:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LybhBgdq53bAWr2ihBMWjFX3onal/sCCF12Udn4cgZnb7y4eWqS/eYFpgQ7tOF+c351xCmLg5SC7nPeFuc8mDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:35:38.837023Z"},"content_sha256":"39d93014a84673f8f86f863e1678e022e1a418fcfaee0cf764156df16270c515","schema_version":"1.0","event_id":"sha256:39d93014a84673f8f86f863e1678e022e1a418fcfaee0cf764156df16270c515"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LND7EYS4FATRHHIOTZDQZUEFLH/bundle.json","state_url":"https://pith.science/pith/LND7EYS4FATRHHIOTZDQZUEFLH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LND7EYS4FATRHHIOTZDQZUEFLH/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":"2026-06-01T09:35:38Z","links":{"resolver":"https://pith.science/pith/LND7EYS4FATRHHIOTZDQZUEFLH","bundle":"https://pith.science/pith/LND7EYS4FATRHHIOTZDQZUEFLH/bundle.json","state":"https://pith.science/pith/LND7EYS4FATRHHIOTZDQZUEFLH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LND7EYS4FATRHHIOTZDQZUEFLH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LND7EYS4FATRHHIOTZDQZUEFLH","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":"4e0a411232937d0935cb85339839d01cbb7503dd3a52555effe8bcd5808129e9","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2015-09-09T02:46:34Z","title_canon_sha256":"cacb40b26cd908bb8e8fcecfc3a9db81eec138d1dea55e11d433e8b5b74e8947"},"schema_version":"1.0","source":{"id":"1509.02616","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02616","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02616v2","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02616","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"pith_short_12","alias_value":"LND7EYS4FATR","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LND7EYS4FATRHHIO","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LND7EYS4","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:39d93014a84673f8f86f863e1678e022e1a418fcfaee0cf764156df16270c515","target":"graph","created_at":"2026-05-18T01:21:44Z","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"},"paper":{"abstract_excerpt":"Using the $\\hbar$-expansion of the Green's function of the Hartree-Fock-Bogoliubov equation, we extend the second-order Thomas-Fermi approximation to generalized superfluid Fermi systems by including the density-dependent effective mass and the spin-orbit potential. We first implement and examine the full correction terms over different energy intervals of the quasiparticle spectra in calculations of finite nuclei. Final applications of this generalized Thomas-Fermi method are intended for various inhomogeneous superfluid Fermi systems.","authors_text":"J.C. Pei, Na Fei, P. Schuck, Y.N. Zhang","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2015-09-09T02:46:34Z","title":"Generalized Second-Order Thomas-Fermi Method for Superfluid Fermi Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02616","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:fdd206d74d7bc19fe46794038ab36e772ff91d7948a213571300f1f1ec375d67","target":"record","created_at":"2026-05-18T01:21:44Z","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":"4e0a411232937d0935cb85339839d01cbb7503dd3a52555effe8bcd5808129e9","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2015-09-09T02:46:34Z","title_canon_sha256":"cacb40b26cd908bb8e8fcecfc3a9db81eec138d1dea55e11d433e8b5b74e8947"},"schema_version":"1.0","source":{"id":"1509.02616","kind":"arxiv","version":2}},"canonical_sha256":"5b47f2625c2827139d0e9e470cd08559f0c48b0690a5286728ff712e6cc02e19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b47f2625c2827139d0e9e470cd08559f0c48b0690a5286728ff712e6cc02e19","first_computed_at":"2026-05-18T01:21:44.656485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:44.656485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z6GzhUuXYvjPgnmaJwBURSMBz+NqH1T8aRrhIZIG7wlntD+I66uwfa93Jj/ZTaGot2n1sIuqTixcm5sO+hMMCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:44.657094Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.02616","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdd206d74d7bc19fe46794038ab36e772ff91d7948a213571300f1f1ec375d67","sha256:39d93014a84673f8f86f863e1678e022e1a418fcfaee0cf764156df16270c515"],"state_sha256":"534ea1171af2bd322a7cd0476a24ff18205de8b8ca5805786920a21f1dd957a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YHPXkNEERM7QvN4t5UgTGcZpYeQrYwJeRXKE+eghUO44/wbl1Sks9Le3XnODGeH998I4OuXGcIkt4bqmiapQCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T09:35:38.838973Z","bundle_sha256":"1b6f7c1c712adffa4192ee5d5456cace7954ab13fa76290476f6c6c41622995f"}}