{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:AC7PXLNFE5MEZIK34A76KIUM56","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":"07d9f31137a19ac4fc334da4f89272cb96477969c01d327e56be843196ddd60a","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1996-01-09T10:51:09Z","title_canon_sha256":"7dc555d93d064f78c537c3b12ed20481b62eb9f5da92f2da6af58b0a73511690"},"schema_version":"1.0","source":{"id":"hep-lat/9601002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9601002","created_at":"2026-07-04T16:01:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9601002v1","created_at":"2026-07-04T16:01:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9601002","created_at":"2026-07-04T16:01:20Z"},{"alias_kind":"pith_short_12","alias_value":"AC7PXLNFE5ME","created_at":"2026-07-04T16:01:20Z"},{"alias_kind":"pith_short_16","alias_value":"AC7PXLNFE5MEZIK3","created_at":"2026-07-04T16:01:20Z"},{"alias_kind":"pith_short_8","alias_value":"AC7PXLNF","created_at":"2026-07-04T16:01:20Z"}],"graph_snapshots":[{"event_id":"sha256:ca0a7e6b9fad1a3f3474305191419d6297c33205fa91f2fba874cd332c7f8683","target":"graph","created_at":"2026-07-04T16:01:20Z","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/9601002/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that, independently of the boundary conditions, the two phases of the 4-dimensional compact U(1) lattice gauge theory can be characterized by the presence or absence of an ``infinite'' current network, with an appropriate definition of ``infinite'' for the various types of boundary conditions imposed on the finite lattice. The probability for the occurrence of an ``infinite'' network takes values 0 or 1 in the cold and hot phase, respectively. It thus constitutes a very efficient order parameter, which allows one to determine the transition region at low computational cost. In addition","authors_text":"A. Weber, C. Rebbi, W. Kerler","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1996-01-09T10:51:09Z","title":"Order parameters and boundary effects in U(1) lattice gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9601002","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:bb772daad257aa30b659921cd0dc8e7f4273da459bdf06b017d56ba4a7535813","target":"record","created_at":"2026-07-04T16:01:20Z","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":"07d9f31137a19ac4fc334da4f89272cb96477969c01d327e56be843196ddd60a","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1996-01-09T10:51:09Z","title_canon_sha256":"7dc555d93d064f78c537c3b12ed20481b62eb9f5da92f2da6af58b0a73511690"},"schema_version":"1.0","source":{"id":"hep-lat/9601002","kind":"arxiv","version":1}},"canonical_sha256":"00befbada527584ca15be03fe5228cefa32a38f674ec761ad0e4ad7626a7c652","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00befbada527584ca15be03fe5228cefa32a38f674ec761ad0e4ad7626a7c652","first_computed_at":"2026-07-04T16:01:20.284738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:01:20.284738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rx8uyhMKI8H5z2pJxaHD6hpYxHq5M0dUGulldKjSwa+T4+Dio59STrlS3I8eiIaa7ArXVud6m0NjiD84h9TrDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:01:20.285112Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9601002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb772daad257aa30b659921cd0dc8e7f4273da459bdf06b017d56ba4a7535813","sha256:ca0a7e6b9fad1a3f3474305191419d6297c33205fa91f2fba874cd332c7f8683"],"state_sha256":"79a20d9fb266b0b43f6311c3599e4e19383dd9286292a3ce75e38b2362fc7831"}