{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LZTJ2676TZNA62UEEFLM2Q73M4","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":"83e5797df861ba742deed824ff6e31e6cb289ac26bfc99c89e4d913cad754d92","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-07T14:59:21Z","title_canon_sha256":"8e30dc3209fb5e1817bad88519f1ce28789cc551b04f5a4a94d3aaebe86fe866"},"schema_version":"1.0","source":{"id":"1409.2128","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2128","created_at":"2026-05-18T02:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2128v1","created_at":"2026-05-18T02:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2128","created_at":"2026-05-18T02:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"LZTJ2676TZNA","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LZTJ2676TZNA62UE","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LZTJ2676","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:f316a617f55afce55f0c3d6fce1bc1fceeb386611199eeb14325900bc08e2947","target":"graph","created_at":"2026-05-18T02:43:17Z","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":"For a reduced Ginzburg-Landau model in which the magnetic field is neglected, we prove, for weak electric currents, the existence of a steady-state solution in a vicinity of the purely superconducting state. We further show that this solution is linearly stable.","authors_text":"Dmitry Golovaty, Itai Shafrir, Leonid Berlyand, Yaniv Almog","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-07T14:59:21Z","title":"Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2128","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:e2f48a7a0f2cd5a7e3783c0231030047a84937378acfc65f9c3fe196bb10f74f","target":"record","created_at":"2026-05-18T02:43:17Z","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":"83e5797df861ba742deed824ff6e31e6cb289ac26bfc99c89e4d913cad754d92","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-07T14:59:21Z","title_canon_sha256":"8e30dc3209fb5e1817bad88519f1ce28789cc551b04f5a4a94d3aaebe86fe866"},"schema_version":"1.0","source":{"id":"1409.2128","kind":"arxiv","version":1}},"canonical_sha256":"5e669d7bfe9e5a0f6a842156cd43fb6712c739443a29041f8b7669834755ee17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e669d7bfe9e5a0f6a842156cd43fb6712c739443a29041f8b7669834755ee17","first_computed_at":"2026-05-18T02:43:17.808307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:17.808307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aIb+VruoyjAHqvn6229Ne6iofgXVLrwgAdnj+Uw5yTUZM95T8XV0xQFenEhtR/u7McW65gaKUczn39Fwo07YDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:17.808823Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.2128","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2f48a7a0f2cd5a7e3783c0231030047a84937378acfc65f9c3fe196bb10f74f","sha256:f316a617f55afce55f0c3d6fce1bc1fceeb386611199eeb14325900bc08e2947"],"state_sha256":"d7daefec1a6c49fba935efcd3718e388ebd38f9003d8f9399cf47c16e1c2f418"}