{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:22FPHKJD2OTHXREGY3ZOIY5TVK","short_pith_number":"pith:22FPHKJD","canonical_record":{"source":{"id":"1707.07972","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2017-07-25T13:05:38Z","cross_cats_sorted":[],"title_canon_sha256":"5f5e6abeacbbc17ddf2ad324611452bfec16194c80fbbb5ce508d01fb4a33367","abstract_canon_sha256":"3a27ddde3882410a16476ade8a4e924ae12fe42daee6416994153111f6fd1f89"},"schema_version":"1.0"},"canonical_sha256":"d68af3a923d3a67bc486c6f2e463b3aa96ecc1264e44320096686fbc4ad5c672","source":{"kind":"arxiv","id":"1707.07972","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07972","created_at":"2026-05-18T00:35:19Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07972v1","created_at":"2026-05-18T00:35:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07972","created_at":"2026-05-18T00:35:19Z"},{"alias_kind":"pith_short_12","alias_value":"22FPHKJD2OTH","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"22FPHKJD2OTHXREG","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"22FPHKJD","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:22FPHKJD2OTHXREGY3ZOIY5TVK","target":"record","payload":{"canonical_record":{"source":{"id":"1707.07972","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2017-07-25T13:05:38Z","cross_cats_sorted":[],"title_canon_sha256":"5f5e6abeacbbc17ddf2ad324611452bfec16194c80fbbb5ce508d01fb4a33367","abstract_canon_sha256":"3a27ddde3882410a16476ade8a4e924ae12fe42daee6416994153111f6fd1f89"},"schema_version":"1.0"},"canonical_sha256":"d68af3a923d3a67bc486c6f2e463b3aa96ecc1264e44320096686fbc4ad5c672","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:19.388226Z","signature_b64":"LEqVZIP/nfG7xZG5KpVtD/UH9RRO61vQCc+GNs6uvNrCot4jto9awpWNrwjNdZfKJeOW+LYQfz69slMkJKu4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d68af3a923d3a67bc486c6f2e463b3aa96ecc1264e44320096686fbc4ad5c672","last_reissued_at":"2026-05-18T00:35:19.387864Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:19.387864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.07972","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":"2026-05-18T00:35:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5UBrSOIu25uBVswLL7h5HzNMBMgMUPCNJ6PMJtf2vH1P0huvBRqVMI+C7FB6jEJgk6LnYGTHFa18sdILRxGuDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:46:20.778701Z"},"content_sha256":"5e657270452e28d0caca917db494faecd522bd124a5c2250bcda32f9c3c7e910","schema_version":"1.0","event_id":"sha256:5e657270452e28d0caca917db494faecd522bd124a5c2250bcda32f9c3c7e910"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:22FPHKJD2OTHXREGY3ZOIY5TVK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-local equation for the superconducting gap parameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"G. Calvanese Strinati, S. Simonucci","submitted_at":"2017-07-25T13:05:38Z","abstract_excerpt":"The properties are considered in detail of a non-local (integral) equation for the superconducting gap parameter, which is obtained by a coarse-graining procedure applied to the Bogoliubov-deGennes (BdG) equations over the whole coupling-vs-temperature phase diagram associated with the superfluid phase. It is found that the limiting size of the coarse-graining procedure, which is dictated by the range of the kernel of this integral equation, corresponds to the size of the Cooper pairs over the whole coupling-vs-temperature phase diagram up to the critical temperature, even when Cooper pairs tu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07972","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":"2026-05-18T00:35:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uO6mvnkb7TVD4UDudXXJoX+ZRncVE9KknT9FIdXnUleJl9FmqC3DWgnO53OU92jIutshoXgqiKV1oR1G6jk9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:46:20.779038Z"},"content_sha256":"d864b0ecc957163722c1b83533c25e15b75e8d89ad7acd08a6e34742ce69e2f5","schema_version":"1.0","event_id":"sha256:d864b0ecc957163722c1b83533c25e15b75e8d89ad7acd08a6e34742ce69e2f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/22FPHKJD2OTHXREGY3ZOIY5TVK/bundle.json","state_url":"https://pith.science/pith/22FPHKJD2OTHXREGY3ZOIY5TVK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/22FPHKJD2OTHXREGY3ZOIY5TVK/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":"2026-06-08T10:46:20Z","links":{"resolver":"https://pith.science/pith/22FPHKJD2OTHXREGY3ZOIY5TVK","bundle":"https://pith.science/pith/22FPHKJD2OTHXREGY3ZOIY5TVK/bundle.json","state":"https://pith.science/pith/22FPHKJD2OTHXREGY3ZOIY5TVK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/22FPHKJD2OTHXREGY3ZOIY5TVK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:22FPHKJD2OTHXREGY3ZOIY5TVK","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":"3a27ddde3882410a16476ade8a4e924ae12fe42daee6416994153111f6fd1f89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2017-07-25T13:05:38Z","title_canon_sha256":"5f5e6abeacbbc17ddf2ad324611452bfec16194c80fbbb5ce508d01fb4a33367"},"schema_version":"1.0","source":{"id":"1707.07972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07972","created_at":"2026-05-18T00:35:19Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07972v1","created_at":"2026-05-18T00:35:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07972","created_at":"2026-05-18T00:35:19Z"},{"alias_kind":"pith_short_12","alias_value":"22FPHKJD2OTH","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"22FPHKJD2OTHXREG","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"22FPHKJD","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:d864b0ecc957163722c1b83533c25e15b75e8d89ad7acd08a6e34742ce69e2f5","target":"graph","created_at":"2026-05-18T00:35:19Z","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 properties are considered in detail of a non-local (integral) equation for the superconducting gap parameter, which is obtained by a coarse-graining procedure applied to the Bogoliubov-deGennes (BdG) equations over the whole coupling-vs-temperature phase diagram associated with the superfluid phase. It is found that the limiting size of the coarse-graining procedure, which is dictated by the range of the kernel of this integral equation, corresponds to the size of the Cooper pairs over the whole coupling-vs-temperature phase diagram up to the critical temperature, even when Cooper pairs tu","authors_text":"G. Calvanese Strinati, S. Simonucci","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2017-07-25T13:05:38Z","title":"Non-local equation for the superconducting gap parameter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07972","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":"sha256:5e657270452e28d0caca917db494faecd522bd124a5c2250bcda32f9c3c7e910","target":"record","created_at":"2026-05-18T00:35:19Z","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":"3a27ddde3882410a16476ade8a4e924ae12fe42daee6416994153111f6fd1f89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2017-07-25T13:05:38Z","title_canon_sha256":"5f5e6abeacbbc17ddf2ad324611452bfec16194c80fbbb5ce508d01fb4a33367"},"schema_version":"1.0","source":{"id":"1707.07972","kind":"arxiv","version":1}},"canonical_sha256":"d68af3a923d3a67bc486c6f2e463b3aa96ecc1264e44320096686fbc4ad5c672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d68af3a923d3a67bc486c6f2e463b3aa96ecc1264e44320096686fbc4ad5c672","first_computed_at":"2026-05-18T00:35:19.387864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:19.387864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LEqVZIP/nfG7xZG5KpVtD/UH9RRO61vQCc+GNs6uvNrCot4jto9awpWNrwjNdZfKJeOW+LYQfz69slMkJKu4Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:19.388226Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e657270452e28d0caca917db494faecd522bd124a5c2250bcda32f9c3c7e910","sha256:d864b0ecc957163722c1b83533c25e15b75e8d89ad7acd08a6e34742ce69e2f5"],"state_sha256":"f452835f158dde58e1279afa00b85b401710dd03af9aaf9cdaebee8684ee7702"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jLqHFcZkKpmVKQ1nbZf69+XLdD+YbxAVhan/qNnpY9+K8pQ8WcflSnSTKVu2PZXWphIUUlJS9fnlZw7SmhukCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T10:46:20.781067Z","bundle_sha256":"cb969620f1be7d11a14085a9a1076212071247d922072003f1445bb5a5bd9a67"}}