{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:VEOV4I5B33CV7DVNUCHIEBWAOQ","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":"c83d94b018224f730a9afd12132b9ee8ea5965c978e1d95cdeeaaa009c53d316","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2006-07-12T16:00:56Z","title_canon_sha256":"7e01a00e78be2d8a6d74d34fe84b61236d5211970b43869077dcec6f38a34c76"},"schema_version":"1.0","source":{"id":"hep-lat/0607014","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0607014","created_at":"2026-07-04T15:26:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0607014v2","created_at":"2026-07-04T15:26:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0607014","created_at":"2026-07-04T15:26:00Z"},{"alias_kind":"pith_short_12","alias_value":"VEOV4I5B33CV","created_at":"2026-07-04T15:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"VEOV4I5B33CV7DVN","created_at":"2026-07-04T15:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"VEOV4I5B","created_at":"2026-07-04T15:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:f49416cf154e6142207791126640d4f1d671178f4383a9159492b77e47a9c0eb","target":"graph","created_at":"2026-07-04T15:26:00Z","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/hep-lat/0607014/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We address, within the dual superconductivity model for color confinement, the question whether the Yang-Mills vacuum behaves as a superconductor of type I or type II. In order to do that we compare, for the theory with gauge group SU(2), the determination of the field penetration depth $\\lambda$ with that of the superconductor correlation length $\\xi$. The latter is obtained by measuring the temporal correlator of a disorder parameter developed by the Pisa group to detect dual superconductivity. The comparison places the vacuum close to the border between type I and type II and marginally on ","authors_text":"A. D'Alessandro, L. Tagliacozzo, M. D'Elia","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2006-07-12T16:00:56Z","title":"Dual superconductivity and vacuum properties in Yang--Mills theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0607014","kind":"arxiv","version":2},"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":"sha256:0c125e6b39a6a79c6d73078333d5a849285a57174373d4f1c511e143b4cb180e","target":"record","created_at":"2026-07-04T15:26:00Z","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":"c83d94b018224f730a9afd12132b9ee8ea5965c978e1d95cdeeaaa009c53d316","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2006-07-12T16:00:56Z","title_canon_sha256":"7e01a00e78be2d8a6d74d34fe84b61236d5211970b43869077dcec6f38a34c76"},"schema_version":"1.0","source":{"id":"hep-lat/0607014","kind":"arxiv","version":2}},"canonical_sha256":"a91d5e23a1dec55f8eada08e8206c0742f9da5d69727ab6db554b74dc46f1e2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a91d5e23a1dec55f8eada08e8206c0742f9da5d69727ab6db554b74dc46f1e2e","first_computed_at":"2026-07-04T15:26:00.765574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:26:00.765574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6MUYMjo7tWixxGU/X8I+4LFZQ6aGHTF1J+UZbzeHRJPWCd0urYJDP8Z8762oplEqLXuaXyFVnl5Ro+IF67fdDw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:26:00.765982Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/0607014","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c125e6b39a6a79c6d73078333d5a849285a57174373d4f1c511e143b4cb180e","sha256:f49416cf154e6142207791126640d4f1d671178f4383a9159492b77e47a9c0eb"],"state_sha256":"3ba9eb4d7b495fc49049298d41f073b912ef418e5e5bf25ef49bc1d5e0ddb807"}