{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QGQVSTZFH44EEYSD5A47DF7KRS","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":"83c02d13f9d5a633a86c0aaadd51802097ae1d8879c851db5414cc78d9ca7456","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-12-20T00:41:13Z","title_canon_sha256":"7028649637ffc8b24b30e82a472bb4412ab0bcaff2e6679ee8593b5cc74bb61d"},"schema_version":"1.0","source":{"id":"1112.4537","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4537","created_at":"2026-05-18T01:59:05Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4537v3","created_at":"2026-05-18T01:59:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4537","created_at":"2026-05-18T01:59:05Z"},{"alias_kind":"pith_short_12","alias_value":"QGQVSTZFH44E","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QGQVSTZFH44EEYSD","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QGQVSTZF","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:734c15eb6fe05488bcd09356b065afd65f34cb0938042b8a584e4c976f76a258","target":"graph","created_at":"2026-05-18T01:59:05Z","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":"From the point of view of time-dependent Ginzburg Landau (TDGL) theory, a Josephson-like relation is derived for an Abrikosov vortex lattice accelerated and deformed by applied fields. Beginning with a review of the Josephson Relation derived from the two ingredients of a lattice-kinematics assumption in TDGL theory and gauge invariance, we extend the construction to accommodate a time-dependent applied magnetic field, a floating-kernel formulation of normal current, and finally lattice deformation due to the electric field and inertial effects of vortex-lattice motion. The resulting Josephson","authors_text":"Peter Matlock","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-12-20T00:41:13Z","title":"Extended Josephson Relation and Abrikosov lattice deformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4537","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":"sha256:94a6605b6dfb1f6356a92f9dc707343abfb8e9424b99da2d66543b443f5805a7","target":"record","created_at":"2026-05-18T01:59:05Z","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":"83c02d13f9d5a633a86c0aaadd51802097ae1d8879c851db5414cc78d9ca7456","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-12-20T00:41:13Z","title_canon_sha256":"7028649637ffc8b24b30e82a472bb4412ab0bcaff2e6679ee8593b5cc74bb61d"},"schema_version":"1.0","source":{"id":"1112.4537","kind":"arxiv","version":3}},"canonical_sha256":"81a1594f253f38426243e839f197ea8c941a4eaf1ed123c0a38737d3d275c070","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81a1594f253f38426243e839f197ea8c941a4eaf1ed123c0a38737d3d275c070","first_computed_at":"2026-05-18T01:59:05.070879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:05.070879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B+aAOxVGVpqSxendmssbjGq40lDjYCj/f7lkBc5qXC6HVU1lhdtXF6dbYwlGBQxvBmEGE8brpIntJq5cn6EjAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:05.071621Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4537","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94a6605b6dfb1f6356a92f9dc707343abfb8e9424b99da2d66543b443f5805a7","sha256:734c15eb6fe05488bcd09356b065afd65f34cb0938042b8a584e4c976f76a258"],"state_sha256":"0ddd907e2ccfe60a9251ee5961f8d256ddfb237ebad64248ff1cfaffc113f7ac"}