{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:Q5SPZNVAYKDAFYIEIIZ2KKFRV4","short_pith_number":"pith:Q5SPZNVA","canonical_record":{"source":{"id":"1503.00970","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2015-03-03T15:17:24Z","cross_cats_sorted":[],"title_canon_sha256":"5e70c110d7c5e7e178f788ad6fe7da2c8ddd7ffcef8434c6facb9d4c26a1218b","abstract_canon_sha256":"4719fd9a65a792bceb623c1e8001113d115662d64294679988f6ccfe4dbd1fb3"},"schema_version":"1.0"},"canonical_sha256":"8764fcb6a0c28602e1044233a528b1af1565ef3c9e303fff1333633943ceaedd","source":{"kind":"arxiv","id":"1503.00970","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00970","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00970v1","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00970","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"Q5SPZNVAYKDA","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q5SPZNVAYKDAFYIE","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q5SPZNVA","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:Q5SPZNVAYKDAFYIEIIZ2KKFRV4","target":"record","payload":{"canonical_record":{"source":{"id":"1503.00970","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2015-03-03T15:17:24Z","cross_cats_sorted":[],"title_canon_sha256":"5e70c110d7c5e7e178f788ad6fe7da2c8ddd7ffcef8434c6facb9d4c26a1218b","abstract_canon_sha256":"4719fd9a65a792bceb623c1e8001113d115662d64294679988f6ccfe4dbd1fb3"},"schema_version":"1.0"},"canonical_sha256":"8764fcb6a0c28602e1044233a528b1af1565ef3c9e303fff1333633943ceaedd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:47.999562Z","signature_b64":"K11xBID6KMX8+joaXF4NGQff5uadEgygODjDtAw1CbaoMEi4HZ25bOp8dtzHHphdyHERCyl5QAnIGTm+STPtDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8764fcb6a0c28602e1044233a528b1af1565ef3c9e303fff1333633943ceaedd","last_reissued_at":"2026-05-18T02:25:47.998930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:47.998930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.00970","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":"2026-05-18T02:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4BDzB6ESKMLAd9s3iryMScHTQxatKRY7o+tIoQnddVFblE5APLmu+VPAB8BlcyBwvJar6w66AXGFSQzn8rWoBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:45:20.827643Z"},"content_sha256":"558375063a1f7642429a1c37bc433bae80260fc28052681674e9bc607debd701","schema_version":"1.0","event_id":"sha256:558375063a1f7642429a1c37bc433bae80260fc28052681674e9bc607debd701"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:Q5SPZNVAYKDAFYIEIIZ2KKFRV4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hedin Equations for Superconductors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"A. Linscheid, F. Essenberger","submitted_at":"2015-03-03T15:17:24Z","abstract_excerpt":"We generalize Hedin equations to a system of superconducting electrons coupled with a system of phonons. The electrons are described by an electronic Pauli Hamiltonian which includes the Coulomb interaction among electrons and an external vector and scalar potential. We derive the continuity equation in the presence of the superconducting condensate and point out how to cast vertex corrections in the form of a non-local effective interaction that can be used to describe both fluctuations of spin and superconducting phase beyond the screened Coulomb self-energy diagram."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00970","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":"2026-05-18T02:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h6fKcwKVjiD4yrnpdWHcNdT3p8ckfoveWsKKt5iMoaN2CY1s5CLX8MnjaKinq48L7uH6tYFHn2mC3jvVmxkaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:45:20.828304Z"},"content_sha256":"5e1356da791d03796e13728a88b250aa3f8a23ac924fd440c49ecf9d94657d87","schema_version":"1.0","event_id":"sha256:5e1356da791d03796e13728a88b250aa3f8a23ac924fd440c49ecf9d94657d87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5SPZNVAYKDAFYIEIIZ2KKFRV4/bundle.json","state_url":"https://pith.science/pith/Q5SPZNVAYKDAFYIEIIZ2KKFRV4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5SPZNVAYKDAFYIEIIZ2KKFRV4/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":"2026-05-25T13:45:20Z","links":{"resolver":"https://pith.science/pith/Q5SPZNVAYKDAFYIEIIZ2KKFRV4","bundle":"https://pith.science/pith/Q5SPZNVAYKDAFYIEIIZ2KKFRV4/bundle.json","state":"https://pith.science/pith/Q5SPZNVAYKDAFYIEIIZ2KKFRV4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5SPZNVAYKDAFYIEIIZ2KKFRV4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Q5SPZNVAYKDAFYIEIIZ2KKFRV4","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":"4719fd9a65a792bceb623c1e8001113d115662d64294679988f6ccfe4dbd1fb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2015-03-03T15:17:24Z","title_canon_sha256":"5e70c110d7c5e7e178f788ad6fe7da2c8ddd7ffcef8434c6facb9d4c26a1218b"},"schema_version":"1.0","source":{"id":"1503.00970","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00970","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00970v1","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00970","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"Q5SPZNVAYKDA","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q5SPZNVAYKDAFYIE","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q5SPZNVA","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:5e1356da791d03796e13728a88b250aa3f8a23ac924fd440c49ecf9d94657d87","target":"graph","created_at":"2026-05-18T02:25:47Z","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 generalize Hedin equations to a system of superconducting electrons coupled with a system of phonons. The electrons are described by an electronic Pauli Hamiltonian which includes the Coulomb interaction among electrons and an external vector and scalar potential. We derive the continuity equation in the presence of the superconducting condensate and point out how to cast vertex corrections in the form of a non-local effective interaction that can be used to describe both fluctuations of spin and superconducting phase beyond the screened Coulomb self-energy diagram.","authors_text":"A. Linscheid, F. Essenberger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2015-03-03T15:17:24Z","title":"Hedin Equations for Superconductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00970","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":"sha256:558375063a1f7642429a1c37bc433bae80260fc28052681674e9bc607debd701","target":"record","created_at":"2026-05-18T02:25:47Z","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":"4719fd9a65a792bceb623c1e8001113d115662d64294679988f6ccfe4dbd1fb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2015-03-03T15:17:24Z","title_canon_sha256":"5e70c110d7c5e7e178f788ad6fe7da2c8ddd7ffcef8434c6facb9d4c26a1218b"},"schema_version":"1.0","source":{"id":"1503.00970","kind":"arxiv","version":1}},"canonical_sha256":"8764fcb6a0c28602e1044233a528b1af1565ef3c9e303fff1333633943ceaedd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8764fcb6a0c28602e1044233a528b1af1565ef3c9e303fff1333633943ceaedd","first_computed_at":"2026-05-18T02:25:47.998930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:47.998930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K11xBID6KMX8+joaXF4NGQff5uadEgygODjDtAw1CbaoMEi4HZ25bOp8dtzHHphdyHERCyl5QAnIGTm+STPtDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:47.999562Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00970","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:558375063a1f7642429a1c37bc433bae80260fc28052681674e9bc607debd701","sha256:5e1356da791d03796e13728a88b250aa3f8a23ac924fd440c49ecf9d94657d87"],"state_sha256":"18a023e74417650d65efa483f3283db98d24cefeddb892a12f8d02b87a322409"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wju8DloHvKLac3a2rCvGUI1O1q9hRv3451FL7pjGU1OHUexJ3OUZBwt74ieGE+czhJd1Xlji+0/U/Ho8/p0aDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T13:45:20.831583Z","bundle_sha256":"6ffd2fea3aa0b4dcd34f2ea715762b2c2af1620c64d95a4243bfdde16310ce50"}}