{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:Y6ORULHBQYYTH23DIJDY4UWFCJ","short_pith_number":"pith:Y6ORULHB","canonical_record":{"source":{"id":"cond-mat/0006458","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2000-06-28T23:12:54Z","cross_cats_sorted":[],"title_canon_sha256":"955a3e2a77094b7f7555958a0a3ba6053ed76d912bbdfe204d43e7ec315b4571","abstract_canon_sha256":"011760cd64e028889ea7218c96c6065763dae6c635a41353bcd88e1c4e0f0c5c"},"schema_version":"1.0"},"canonical_sha256":"c79d1a2ce1863133eb6342478e52c5127d70fee415168bf819933d465b21fc5b","source":{"kind":"arxiv","id":"cond-mat/0006458","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0006458","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0006458v3","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0006458","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"pith_short_12","alias_value":"Y6ORULHBQYYT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y6ORULHBQYYTH23D","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y6ORULHB","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:Y6ORULHBQYYTH23DIJDY4UWFCJ","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0006458","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2000-06-28T23:12:54Z","cross_cats_sorted":[],"title_canon_sha256":"955a3e2a77094b7f7555958a0a3ba6053ed76d912bbdfe204d43e7ec315b4571","abstract_canon_sha256":"011760cd64e028889ea7218c96c6065763dae6c635a41353bcd88e1c4e0f0c5c"},"schema_version":"1.0"},"canonical_sha256":"c79d1a2ce1863133eb6342478e52c5127d70fee415168bf819933d465b21fc5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:00.513690Z","signature_b64":"VfXMLtyqQTHjD3p4NEAb2bGdMcvBYapavGel1Fh5eenDNH3yDW6o48gVnh9qVrL7lN42B0Duo/U6mbZDQJxZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c79d1a2ce1863133eb6342478e52c5127d70fee415168bf819933d465b21fc5b","last_reissued_at":"2026-05-18T00:37:00.513112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:00.513112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0006458","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":"2026-05-18T00:37:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h6BvLpVnx0OaU/t3jxEAgyRXfyAbEksR2lgztZvrkbcZsjXuGAR0ertI19I+RLd55D8SGvf/LpesaLEYQsSOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:31:09.996374Z"},"content_sha256":"eb48ee58011fea9bb07e6af7f12e94d1326ab5c382e8bc19b652760d0daa99fe","schema_version":"1.0","event_id":"sha256:eb48ee58011fea9bb07e6af7f12e94d1326ab5c382e8bc19b652760d0daa99fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:Y6ORULHBQYYTH23DIJDY4UWFCJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low-dimensional BEC","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"A.A. Valladares, F.J. Sevilla, M.A. Sol\\'is, M.de Llano, M. Fortes, M. Grether, O. Rojo","submitted_at":"2000-06-28T23:12:54Z","abstract_excerpt":"The Bose-Einstein condensation (BEC) temperature $T_{c}$ of Cooper pairs (CPs) created from a very general interfermion interaction is determined for a {\\it linear}, as well as the usual quadratic, energy {\\it vs}% center-of-mass momentum dispersion relation. This $T_{c}$ is then compared to that of Wen & Kan (1988) in $d=2+\\epsilon $ dimensions, for small $\\epsilon $, in a geometry of an infinite stack of parallel (e.g., copper-oxygen) planes as in a cuprate, and with a new result for linear-dispersion CPs. This allows addressing, as a rough first approximation, superconductivity for any $d>1"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0006458","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":""},"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":"2026-05-18T00:37:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qEXwCLwuE0NL7z/AAxP99yHSR68wtiDnplbIRcacsy0Cx3vPtSVdYDDtiPDhz/C57DRt8IDckty+R9+Z79CWDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:31:09.997068Z"},"content_sha256":"1eabba45af44dd690ab908d6d809cf3caea297a94a2e89d8a2851e30f01bd83f","schema_version":"1.0","event_id":"sha256:1eabba45af44dd690ab908d6d809cf3caea297a94a2e89d8a2851e30f01bd83f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y6ORULHBQYYTH23DIJDY4UWFCJ/bundle.json","state_url":"https://pith.science/pith/Y6ORULHBQYYTH23DIJDY4UWFCJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y6ORULHBQYYTH23DIJDY4UWFCJ/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":"2026-06-07T21:31:09Z","links":{"resolver":"https://pith.science/pith/Y6ORULHBQYYTH23DIJDY4UWFCJ","bundle":"https://pith.science/pith/Y6ORULHBQYYTH23DIJDY4UWFCJ/bundle.json","state":"https://pith.science/pith/Y6ORULHBQYYTH23DIJDY4UWFCJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y6ORULHBQYYTH23DIJDY4UWFCJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:Y6ORULHBQYYTH23DIJDY4UWFCJ","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":"011760cd64e028889ea7218c96c6065763dae6c635a41353bcd88e1c4e0f0c5c","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2000-06-28T23:12:54Z","title_canon_sha256":"955a3e2a77094b7f7555958a0a3ba6053ed76d912bbdfe204d43e7ec315b4571"},"schema_version":"1.0","source":{"id":"cond-mat/0006458","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0006458","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0006458v3","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0006458","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"pith_short_12","alias_value":"Y6ORULHBQYYT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y6ORULHBQYYTH23D","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y6ORULHB","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:1eabba45af44dd690ab908d6d809cf3caea297a94a2e89d8a2851e30f01bd83f","target":"graph","created_at":"2026-05-18T00:37:00Z","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 Bose-Einstein condensation (BEC) temperature $T_{c}$ of Cooper pairs (CPs) created from a very general interfermion interaction is determined for a {\\it linear}, as well as the usual quadratic, energy {\\it vs}% center-of-mass momentum dispersion relation. This $T_{c}$ is then compared to that of Wen & Kan (1988) in $d=2+\\epsilon $ dimensions, for small $\\epsilon $, in a geometry of an infinite stack of parallel (e.g., copper-oxygen) planes as in a cuprate, and with a new result for linear-dispersion CPs. This allows addressing, as a rough first approximation, superconductivity for any $d>1","authors_text":"A.A. Valladares, F.J. Sevilla, M.A. Sol\\'is, M.de Llano, M. Fortes, M. Grether, O. Rojo","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2000-06-28T23:12:54Z","title":"Low-dimensional BEC"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0006458","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:eb48ee58011fea9bb07e6af7f12e94d1326ab5c382e8bc19b652760d0daa99fe","target":"record","created_at":"2026-05-18T00:37:00Z","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":"011760cd64e028889ea7218c96c6065763dae6c635a41353bcd88e1c4e0f0c5c","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2000-06-28T23:12:54Z","title_canon_sha256":"955a3e2a77094b7f7555958a0a3ba6053ed76d912bbdfe204d43e7ec315b4571"},"schema_version":"1.0","source":{"id":"cond-mat/0006458","kind":"arxiv","version":3}},"canonical_sha256":"c79d1a2ce1863133eb6342478e52c5127d70fee415168bf819933d465b21fc5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c79d1a2ce1863133eb6342478e52c5127d70fee415168bf819933d465b21fc5b","first_computed_at":"2026-05-18T00:37:00.513112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:00.513112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VfXMLtyqQTHjD3p4NEAb2bGdMcvBYapavGel1Fh5eenDNH3yDW6o48gVnh9qVrL7lN42B0Duo/U6mbZDQJxZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:00.513690Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0006458","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb48ee58011fea9bb07e6af7f12e94d1326ab5c382e8bc19b652760d0daa99fe","sha256:1eabba45af44dd690ab908d6d809cf3caea297a94a2e89d8a2851e30f01bd83f"],"state_sha256":"f3fdd4083d1e0c2cd02cc4b7437f525ca19b157db9e25f2ce3437be649c3a2ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"axSOhXNUR5PMdb6aQukvaxnh9QfofoUG2iTdEypW+FFDfsxxqllFI+2NnpHVPSzOppbca10XmxWMa66+Cwc4Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:31:10.000481Z","bundle_sha256":"eb3dd07aff37008faf77c8c69b00c6eb8dad9deea032b0d11dec720eabbbb668"}}