{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:ND6VL7YD73QZHGP23HBG7NYEC4","short_pith_number":"pith:ND6VL7YD","canonical_record":{"source":{"id":"cond-mat/0611421","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2006-11-16T02:53:26Z","cross_cats_sorted":["cond-mat.str-el","nucl-th","physics.atom-ph"],"title_canon_sha256":"a7d27597457331e5755a473fe5683eb43cb6cfb409fb407f3793cd0c109a1fb7","abstract_canon_sha256":"7d79bf021bce3e1aca23a936b6971eb9f1cb11c20d82017a37d722a22a40ff51"},"schema_version":"1.0"},"canonical_sha256":"68fd55ff03fee19399fad9c26fb7041738d921631ae7aaf9e85c19a52557b3eb","source":{"kind":"arxiv","id":"cond-mat/0611421","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0611421","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0611421v2","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0611421","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"pith_short_12","alias_value":"ND6VL7YD73QZ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ND6VL7YD73QZHGP2","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ND6VL7YD","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:ND6VL7YD73QZHGP23HBG7NYEC4","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0611421","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2006-11-16T02:53:26Z","cross_cats_sorted":["cond-mat.str-el","nucl-th","physics.atom-ph"],"title_canon_sha256":"a7d27597457331e5755a473fe5683eb43cb6cfb409fb407f3793cd0c109a1fb7","abstract_canon_sha256":"7d79bf021bce3e1aca23a936b6971eb9f1cb11c20d82017a37d722a22a40ff51"},"schema_version":"1.0"},"canonical_sha256":"68fd55ff03fee19399fad9c26fb7041738d921631ae7aaf9e85c19a52557b3eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:27.484047Z","signature_b64":"hqGG3O/T4qSyLynTwj47U95x+lg+tw4UQ0OYhHWdtLRk0qDTSPnAaA+Hu3ZFefHGAf1NZIK98R6IhZqmIXRsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68fd55ff03fee19399fad9c26fb7041738d921631ae7aaf9e85c19a52557b3eb","last_reissued_at":"2026-05-18T02:53:27.483459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:27.483459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0611421","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":"2026-05-18T02:53:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hh4ONHgwKa0cd6SB5TORInVVhafwcp3bwz9VSw5jAan5CEruWRshrZ37gLTT+NH1fqJo3KxpqcuHjw2IxO+zDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:37:51.849713Z"},"content_sha256":"a49ef33b4c6ba511821a1f0960a58f784f59a5be620019b70beb4bee6c3868df","schema_version":"1.0","event_id":"sha256:a49ef33b4c6ba511821a1f0960a58f784f59a5be620019b70beb4bee6c3868df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:ND6VL7YD73QZHGP23HBG7NYEC4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pairing in Asymmetrical Fermi Systems with Intra- and Inter-Species Correlations","license":"","headline":"","cross_cats":["cond-mat.str-el","nucl-th","physics.atom-ph"],"primary_cat":"cond-mat.supr-con","authors_text":"Kent State University), Khandker F. Quader (Dept of Physics, Renyuan Liao","submitted_at":"2006-11-16T02:53:26Z","abstract_excerpt":"We consider inter- and intra-species pairing interactions in an asymmetrical Fermi system. Using equation of motion method, we obtain coupled mean-field equations for superfluid gap functions and population densities. We construct a phase diagram across BCS-BEC regimes. Due to intra-species correlations, the BCS singlet superfluid state can sustain finite polarizations, $P$. For larger $P$, we find phase separations in BCS and BEC regimes. A superfluid phase exists for all $P$ deep in BEC regime. Our results may apply to pairing in ultracold fermions, nuclear and quark matter physics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0611421","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":"2026-05-18T02:53:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JoCbRYPT/mC/uejVD44+JOLlafsSZjVkiB8UYJMEyvDCfIdVMCqAUCRn7fHW/Lb+tTORCjX9on/CvasK5lYNCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:37:51.850078Z"},"content_sha256":"bd9fcde97a71c79ee64e58a6e94faec3edada1ffd632794e41135dc999fd18e9","schema_version":"1.0","event_id":"sha256:bd9fcde97a71c79ee64e58a6e94faec3edada1ffd632794e41135dc999fd18e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ND6VL7YD73QZHGP23HBG7NYEC4/bundle.json","state_url":"https://pith.science/pith/ND6VL7YD73QZHGP23HBG7NYEC4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ND6VL7YD73QZHGP23HBG7NYEC4/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":"2026-05-30T23:37:51Z","links":{"resolver":"https://pith.science/pith/ND6VL7YD73QZHGP23HBG7NYEC4","bundle":"https://pith.science/pith/ND6VL7YD73QZHGP23HBG7NYEC4/bundle.json","state":"https://pith.science/pith/ND6VL7YD73QZHGP23HBG7NYEC4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ND6VL7YD73QZHGP23HBG7NYEC4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ND6VL7YD73QZHGP23HBG7NYEC4","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":"7d79bf021bce3e1aca23a936b6971eb9f1cb11c20d82017a37d722a22a40ff51","cross_cats_sorted":["cond-mat.str-el","nucl-th","physics.atom-ph"],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2006-11-16T02:53:26Z","title_canon_sha256":"a7d27597457331e5755a473fe5683eb43cb6cfb409fb407f3793cd0c109a1fb7"},"schema_version":"1.0","source":{"id":"cond-mat/0611421","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0611421","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0611421v2","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0611421","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"pith_short_12","alias_value":"ND6VL7YD73QZ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ND6VL7YD73QZHGP2","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ND6VL7YD","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:bd9fcde97a71c79ee64e58a6e94faec3edada1ffd632794e41135dc999fd18e9","target":"graph","created_at":"2026-05-18T02:53:27Z","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 consider inter- and intra-species pairing interactions in an asymmetrical Fermi system. Using equation of motion method, we obtain coupled mean-field equations for superfluid gap functions and population densities. We construct a phase diagram across BCS-BEC regimes. Due to intra-species correlations, the BCS singlet superfluid state can sustain finite polarizations, $P$. For larger $P$, we find phase separations in BCS and BEC regimes. A superfluid phase exists for all $P$ deep in BEC regime. Our results may apply to pairing in ultracold fermions, nuclear and quark matter physics.","authors_text":"Kent State University), Khandker F. Quader (Dept of Physics, Renyuan Liao","cross_cats":["cond-mat.str-el","nucl-th","physics.atom-ph"],"headline":"","license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2006-11-16T02:53:26Z","title":"Pairing in Asymmetrical Fermi Systems with Intra- and Inter-Species Correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0611421","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:a49ef33b4c6ba511821a1f0960a58f784f59a5be620019b70beb4bee6c3868df","target":"record","created_at":"2026-05-18T02:53:27Z","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":"7d79bf021bce3e1aca23a936b6971eb9f1cb11c20d82017a37d722a22a40ff51","cross_cats_sorted":["cond-mat.str-el","nucl-th","physics.atom-ph"],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2006-11-16T02:53:26Z","title_canon_sha256":"a7d27597457331e5755a473fe5683eb43cb6cfb409fb407f3793cd0c109a1fb7"},"schema_version":"1.0","source":{"id":"cond-mat/0611421","kind":"arxiv","version":2}},"canonical_sha256":"68fd55ff03fee19399fad9c26fb7041738d921631ae7aaf9e85c19a52557b3eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68fd55ff03fee19399fad9c26fb7041738d921631ae7aaf9e85c19a52557b3eb","first_computed_at":"2026-05-18T02:53:27.483459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:27.483459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hqGG3O/T4qSyLynTwj47U95x+lg+tw4UQ0OYhHWdtLRk0qDTSPnAaA+Hu3ZFefHGAf1NZIK98R6IhZqmIXRsDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:27.484047Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0611421","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a49ef33b4c6ba511821a1f0960a58f784f59a5be620019b70beb4bee6c3868df","sha256:bd9fcde97a71c79ee64e58a6e94faec3edada1ffd632794e41135dc999fd18e9"],"state_sha256":"ea2bdc4ed79729a6439f5ce6ec72d85714d2b30aa91782b5ee282bc1a788b77e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mgf0BDEHSSDv1db37NTsWFeypgmgD1FgQRMA13RjKTlxHrVuhIIYvqkiIU5YqL7NzFBFkbRGki2L7/EcoVrqBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:37:51.852734Z","bundle_sha256":"e8a970a9e9cc6b73df6d2d91414b594eb7805643ace5710764e6c5326b2b049d"}}