{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:MOM5CDYIKEN7ZPCHZNBIHOR4D7","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":"572a23e4656632c624215a942134a0bcde6cc63ce8694fc6deb5aef7245e7430","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2009-09-12T08:36:57Z","title_canon_sha256":"986d6b435232b0365221e2cc6a467c4c184f0eb58cf752cf3de2d6f82eaaf5ff"},"schema_version":"1.0","source":{"id":"0909.2311","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.2311","created_at":"2026-05-18T04:29:42Z"},{"alias_kind":"arxiv_version","alias_value":"0909.2311v1","created_at":"2026-05-18T04:29:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.2311","created_at":"2026-05-18T04:29:42Z"},{"alias_kind":"pith_short_12","alias_value":"MOM5CDYIKEN7","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"MOM5CDYIKEN7ZPCH","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"MOM5CDYI","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:4772576cc0f6957416a78ecb94b832410006c45f17f41e967cb2e4b8c1de1575","target":"graph","created_at":"2026-05-18T04:29:42Z","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 magnetic flux dynamics of type-II superconductors within the critical state regime is posed in a generalized framework, by using a variational theory supported by well established physical principles. The equivalence between the variational statement and more conventional treatments, based on the solution of the differential Maxwell equations together with appropriate conductivity laws is shown. Advantages of the variational method are emphasized, focusing on its numerical performance, that allows to explore new physical scenarios. In particular, we present the extension of the so-called d","authors_text":"A. Bad\\'ia-Maj\\'os, C. L\\'opez, H. S. Ruiz","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2009-09-12T08:36:57Z","title":"General critical states in type-II superconductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.2311","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":"sha256:39dae7a503b67408988e6150455f0d87fc85bcf9b0210d36f58003a3a49bf619","target":"record","created_at":"2026-05-18T04:29:42Z","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":"572a23e4656632c624215a942134a0bcde6cc63ce8694fc6deb5aef7245e7430","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2009-09-12T08:36:57Z","title_canon_sha256":"986d6b435232b0365221e2cc6a467c4c184f0eb58cf752cf3de2d6f82eaaf5ff"},"schema_version":"1.0","source":{"id":"0909.2311","kind":"arxiv","version":1}},"canonical_sha256":"6399d10f08511bfcbc47cb4283ba3c1ffe5f3aa461cc49ed98efec293876b68f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6399d10f08511bfcbc47cb4283ba3c1ffe5f3aa461cc49ed98efec293876b68f","first_computed_at":"2026-05-18T04:29:42.420413Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:42.420413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cEkIUHMQxVEQSliYCwObNYqb9OyEbOnYL9yX1C3JmNe0dYsqUSG7btr6aVXVhxQkVpjA8o7jjamvnr6H1TTMBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:42.420891Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.2311","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39dae7a503b67408988e6150455f0d87fc85bcf9b0210d36f58003a3a49bf619","sha256:4772576cc0f6957416a78ecb94b832410006c45f17f41e967cb2e4b8c1de1575"],"state_sha256":"311f1a47d704d43ab106340cb42440dcdac0e63d8fab53fb7c1d3896ac17140d"}