{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LGEUQKECYQUI4FATGQLHMTSHOF","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":"487676b93607d250a643ae7dbc530feddfc10af4ba1d1bd3ad736a27d5156e47","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.soft","cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-06-03T14:47:09Z","title_canon_sha256":"eef6ccf70586c1b559b5633a63d44a1a3288090f5bdbddf50f5271164f7b5cd6"},"schema_version":"1.0","source":{"id":"2606.04961","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.04961","created_at":"2026-06-04T01:09:58Z"},{"alias_kind":"arxiv_version","alias_value":"2606.04961v1","created_at":"2026-06-04T01:09:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04961","created_at":"2026-06-04T01:09:58Z"},{"alias_kind":"pith_short_12","alias_value":"LGEUQKECYQUI","created_at":"2026-06-04T01:09:58Z"},{"alias_kind":"pith_short_16","alias_value":"LGEUQKECYQUI4FAT","created_at":"2026-06-04T01:09:58Z"},{"alias_kind":"pith_short_8","alias_value":"LGEUQKEC","created_at":"2026-06-04T01:09:58Z"}],"graph_snapshots":[{"event_id":"sha256:7e755c57904d0eefc92c20f2b5d633bc26ec5ce5450a2a2ddfcd951c10fc6bce","target":"graph","created_at":"2026-06-04T01:09:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.04961/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze residual frozen flux in a long narrow superconducting strip cooled through its transition temperature $T_{c}$ in a small perpendicular magnetic field. This problem is relevant for the issue of trapped magnetic flux in superconducting electronic devices. During cooling, the low-temperature vortex configuration is formed at temperatures very close to $T_{c}$, where the flux density is determined by dynamic balance between the thermally-activated exits and entries of vortices over the geometrical energy barrier formed by the interaction with the strip edges and the Meissner screening c","authors_text":"Alexei E. Koshelev","cross_cats":["cond-mat.mes-hall","cond-mat.soft","cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-06-03T14:47:09Z","title":"Theory of frozen flux in a narrow uniform superconducting strip after cooling in a small magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04961","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":"sha256:05c158557f371edb2b319142dfc0adcd5775f91741f8471037afb86258c198cb","target":"record","created_at":"2026-06-04T01:09:58Z","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":"487676b93607d250a643ae7dbc530feddfc10af4ba1d1bd3ad736a27d5156e47","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.soft","cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-06-03T14:47:09Z","title_canon_sha256":"eef6ccf70586c1b559b5633a63d44a1a3288090f5bdbddf50f5271164f7b5cd6"},"schema_version":"1.0","source":{"id":"2606.04961","kind":"arxiv","version":1}},"canonical_sha256":"5989482882c4288e14133416764e477164af60a5b35c26e0ff511a99ef278c4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5989482882c4288e14133416764e477164af60a5b35c26e0ff511a99ef278c4f","first_computed_at":"2026-06-04T01:09:58.245820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T01:09:58.245820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xOY+BV1ozrSHLmVZPi9uTDrnvjB7o+4BRIzMJBWPTD5+7XGa4MF3TzPqHuk6kSRC9IWjQ+ikW9JseWECWJIqAA==","signature_status":"signed_v1","signed_at":"2026-06-04T01:09:58.246688Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.04961","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05c158557f371edb2b319142dfc0adcd5775f91741f8471037afb86258c198cb","sha256:7e755c57904d0eefc92c20f2b5d633bc26ec5ce5450a2a2ddfcd951c10fc6bce"],"state_sha256":"922e6431d55b0b9731d31a6c1616907c6bc75d2fc946cf5cf07fdb85748c56e0"}