{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GD5QJYXZ4EY5MH3PUO34T6POPZ","short_pith_number":"pith:GD5QJYXZ","canonical_record":{"source":{"id":"1601.04521","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-01-18T14:10:42Z","cross_cats_sorted":[],"title_canon_sha256":"b6ea22f9ef36e512f7aeaea1ea602620f9c4247d1e5fe4cc7a1a7a5581c8492c","abstract_canon_sha256":"62c1261efd7d0608283538a7984e6c055b3828500330de7de5b769243e95df88"},"schema_version":"1.0"},"canonical_sha256":"30fb04e2f9e131d61f6fa3b7c9f9ee7e6baebafe13bc79a63969e9593e0129fb","source":{"kind":"arxiv","id":"1601.04521","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04521","created_at":"2026-05-18T01:11:03Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04521v2","created_at":"2026-05-18T01:11:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04521","created_at":"2026-05-18T01:11:03Z"},{"alias_kind":"pith_short_12","alias_value":"GD5QJYXZ4EY5","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GD5QJYXZ4EY5MH3P","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GD5QJYXZ","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GD5QJYXZ4EY5MH3PUO34T6POPZ","target":"record","payload":{"canonical_record":{"source":{"id":"1601.04521","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-01-18T14:10:42Z","cross_cats_sorted":[],"title_canon_sha256":"b6ea22f9ef36e512f7aeaea1ea602620f9c4247d1e5fe4cc7a1a7a5581c8492c","abstract_canon_sha256":"62c1261efd7d0608283538a7984e6c055b3828500330de7de5b769243e95df88"},"schema_version":"1.0"},"canonical_sha256":"30fb04e2f9e131d61f6fa3b7c9f9ee7e6baebafe13bc79a63969e9593e0129fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:03.343687Z","signature_b64":"JX0nmxY63reC3KBjXg2J6ONDbKBl7ajijbNgDy8CwQ121UXXXHrDZDJHwCzWeobdqHplQ74587zbF4Ib1GaoBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30fb04e2f9e131d61f6fa3b7c9f9ee7e6baebafe13bc79a63969e9593e0129fb","last_reissued_at":"2026-05-18T01:11:03.343216Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:03.343216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.04521","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":"2026-05-18T01:11:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uon2T9YkR7Os+Go8thKzcV3s6kzQcm1vBs+auGEoTq0ze461wqqYKqOy1ajbTjgsg8kWrQht39JEtmuYdXUZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:32:18.662648Z"},"content_sha256":"7a925c41f6942903d2a1cc156daae6b2694769506837e1e86879d4177242659f","schema_version":"1.0","event_id":"sha256:7a925c41f6942903d2a1cc156daae6b2694769506837e1e86879d4177242659f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GD5QJYXZ4EY5MH3PUO34T6POPZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BCS superconductivity near the band edge: Exact results for one and several bands","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"C. Berthod, D. Valentinis, D. van der Marel","submitted_at":"2016-01-18T14:10:42Z","abstract_excerpt":"We revisit the problem of a BCS superconductor in the regime where the Fermi energy is smaller than the Debye energy. This regime is relevant for low-density superconductors such as SrTiO$_3$ that are not in the BEC limit, as well as in the problem of \"shape resonances\" associated with the confinement of a three-dimensional superconductor. While the problem is not new, exact results were lacking in the low-density limit. In two dimensions, we find that the initial rise of the pairing temperature $T_c$ at low density $n$ is nonanalytic and faster than any power of $n$. In three dimensions, we a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04521","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":"2026-05-18T01:11:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wkDGSgXjS4lIoWaHAsjIEE2FF8jfmJf0UT7bFrsRy3WP2UB60W2IEczSSP2iWoUBVGHnOzlb8bgwiyJrFGQWAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:32:18.663303Z"},"content_sha256":"971734cbeb85b72a29e3803f498e6afb6d69f867a779e61f06a457d865f39ab8","schema_version":"1.0","event_id":"sha256:971734cbeb85b72a29e3803f498e6afb6d69f867a779e61f06a457d865f39ab8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GD5QJYXZ4EY5MH3PUO34T6POPZ/bundle.json","state_url":"https://pith.science/pith/GD5QJYXZ4EY5MH3PUO34T6POPZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GD5QJYXZ4EY5MH3PUO34T6POPZ/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":"2026-06-11T23:32:18Z","links":{"resolver":"https://pith.science/pith/GD5QJYXZ4EY5MH3PUO34T6POPZ","bundle":"https://pith.science/pith/GD5QJYXZ4EY5MH3PUO34T6POPZ/bundle.json","state":"https://pith.science/pith/GD5QJYXZ4EY5MH3PUO34T6POPZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GD5QJYXZ4EY5MH3PUO34T6POPZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GD5QJYXZ4EY5MH3PUO34T6POPZ","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":"62c1261efd7d0608283538a7984e6c055b3828500330de7de5b769243e95df88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-01-18T14:10:42Z","title_canon_sha256":"b6ea22f9ef36e512f7aeaea1ea602620f9c4247d1e5fe4cc7a1a7a5581c8492c"},"schema_version":"1.0","source":{"id":"1601.04521","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04521","created_at":"2026-05-18T01:11:03Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04521v2","created_at":"2026-05-18T01:11:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04521","created_at":"2026-05-18T01:11:03Z"},{"alias_kind":"pith_short_12","alias_value":"GD5QJYXZ4EY5","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GD5QJYXZ4EY5MH3P","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GD5QJYXZ","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:971734cbeb85b72a29e3803f498e6afb6d69f867a779e61f06a457d865f39ab8","target":"graph","created_at":"2026-05-18T01:11:03Z","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 revisit the problem of a BCS superconductor in the regime where the Fermi energy is smaller than the Debye energy. This regime is relevant for low-density superconductors such as SrTiO$_3$ that are not in the BEC limit, as well as in the problem of \"shape resonances\" associated with the confinement of a three-dimensional superconductor. While the problem is not new, exact results were lacking in the low-density limit. In two dimensions, we find that the initial rise of the pairing temperature $T_c$ at low density $n$ is nonanalytic and faster than any power of $n$. In three dimensions, we a","authors_text":"C. Berthod, D. Valentinis, D. van der Marel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-01-18T14:10:42Z","title":"BCS superconductivity near the band edge: Exact results for one and several bands"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04521","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":"sha256:7a925c41f6942903d2a1cc156daae6b2694769506837e1e86879d4177242659f","target":"record","created_at":"2026-05-18T01:11:03Z","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":"62c1261efd7d0608283538a7984e6c055b3828500330de7de5b769243e95df88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-01-18T14:10:42Z","title_canon_sha256":"b6ea22f9ef36e512f7aeaea1ea602620f9c4247d1e5fe4cc7a1a7a5581c8492c"},"schema_version":"1.0","source":{"id":"1601.04521","kind":"arxiv","version":2}},"canonical_sha256":"30fb04e2f9e131d61f6fa3b7c9f9ee7e6baebafe13bc79a63969e9593e0129fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30fb04e2f9e131d61f6fa3b7c9f9ee7e6baebafe13bc79a63969e9593e0129fb","first_computed_at":"2026-05-18T01:11:03.343216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:03.343216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JX0nmxY63reC3KBjXg2J6ONDbKBl7ajijbNgDy8CwQ121UXXXHrDZDJHwCzWeobdqHplQ74587zbF4Ib1GaoBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:03.343687Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04521","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a925c41f6942903d2a1cc156daae6b2694769506837e1e86879d4177242659f","sha256:971734cbeb85b72a29e3803f498e6afb6d69f867a779e61f06a457d865f39ab8"],"state_sha256":"bc22c984c056a7c494a80b25f77a554b9f7fa9f742064226f12b73b2bbf6125b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LjGaLSBb2uCbHHMVZSdYLBZOsd4+/4Pofb5ZUYn+llWXVJpXVAz0aiYv+5dTcpjqXC94K/HNW+nkhzyCEhDbBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:32:18.667204Z","bundle_sha256":"9cb9dca22a525c1f6331cc5460a79ff697bbc2daebb6553c89983592411db6a6"}}