{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EUKZM7R544XW7F2VINSMYQWRZX","short_pith_number":"pith:EUKZM7R5","canonical_record":{"source":{"id":"1310.1039","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-10-03T17:35:46Z","cross_cats_sorted":[],"title_canon_sha256":"e389cdfa91a885bfb97236bc2429cc7ed4dbc66c403cf0eb35ef1f0d5e914cf5","abstract_canon_sha256":"a72a53b201db66bf47b199565d21ecf4e957aad77dd8a14361f1dcafe751d9cd"},"schema_version":"1.0"},"canonical_sha256":"2515967e3de72f6f97554364cc42d1cdf6b4be75c3433a7132c70a4a2312bb2a","source":{"kind":"arxiv","id":"1310.1039","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1039","created_at":"2026-05-18T03:11:24Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1039v1","created_at":"2026-05-18T03:11:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1039","created_at":"2026-05-18T03:11:24Z"},{"alias_kind":"pith_short_12","alias_value":"EUKZM7R544XW","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EUKZM7R544XW7F2V","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EUKZM7R5","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EUKZM7R544XW7F2VINSMYQWRZX","target":"record","payload":{"canonical_record":{"source":{"id":"1310.1039","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-10-03T17:35:46Z","cross_cats_sorted":[],"title_canon_sha256":"e389cdfa91a885bfb97236bc2429cc7ed4dbc66c403cf0eb35ef1f0d5e914cf5","abstract_canon_sha256":"a72a53b201db66bf47b199565d21ecf4e957aad77dd8a14361f1dcafe751d9cd"},"schema_version":"1.0"},"canonical_sha256":"2515967e3de72f6f97554364cc42d1cdf6b4be75c3433a7132c70a4a2312bb2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:24.681427Z","signature_b64":"SUy6V3K82h9JyUpVoyFwtcXN3O8W/DVYp/ckdG8Endx6cBHbubZC/Or9TdGaeMpabhtSP7VRlwzOgWWT4p78AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2515967e3de72f6f97554364cc42d1cdf6b4be75c3433a7132c70a4a2312bb2a","last_reissued_at":"2026-05-18T03:11:24.680791Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:24.680791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.1039","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8oOC8hrj+3SA5Zjbu+UI+2SsIZZczxAyoy9lWZLlAeGugKyFZxsal9BPzKG9LwkCzGEeXzKlBrnRBqrcrFYbCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:33:33.939405Z"},"content_sha256":"8fab8cdcc74d2e3d4c9cb30ff68f3c87e70581712872f9d77165214a382ccb7b","schema_version":"1.0","event_id":"sha256:8fab8cdcc74d2e3d4c9cb30ff68f3c87e70581712872f9d77165214a382ccb7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EUKZM7R544XW7F2VINSMYQWRZX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical properties of 3D Z(N) lattice gauge theories at finite temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Alessandro Papa, Gennaro Cortese, Ivan Surzhikov, Mario Gravina, Oleg Borisenko, Volodymyr Chelnokov","submitted_at":"2013-10-03T17:35:46Z","abstract_excerpt":"The phase structure of three-dimensional Z(N>4) lattice gauge theories at finite temperature is investigated. Using the dual formulation of the models and a cluster algorithm we locate the critical points of the two transitions, determine various critical indices and compute average action and specific heat. Results are consistent with two transitions of infinite order, belonging to the universality class of two-dimensional Z(N) vector spin models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1039","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pd4YwmDrbZ4i0ILAsTi+1eYLvDp5FtCkuAqOYhPBrRqMjo8Nw2xwMv+sGx8vnLXEogSz2hkMQurX/GCt8pJWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:33:33.940088Z"},"content_sha256":"b463f23d2a06edfeb7c35d30d3d4fb288cc467b6bf30c1d2a450af65415993a8","schema_version":"1.0","event_id":"sha256:b463f23d2a06edfeb7c35d30d3d4fb288cc467b6bf30c1d2a450af65415993a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EUKZM7R544XW7F2VINSMYQWRZX/bundle.json","state_url":"https://pith.science/pith/EUKZM7R544XW7F2VINSMYQWRZX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EUKZM7R544XW7F2VINSMYQWRZX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T17:33:33Z","links":{"resolver":"https://pith.science/pith/EUKZM7R544XW7F2VINSMYQWRZX","bundle":"https://pith.science/pith/EUKZM7R544XW7F2VINSMYQWRZX/bundle.json","state":"https://pith.science/pith/EUKZM7R544XW7F2VINSMYQWRZX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EUKZM7R544XW7F2VINSMYQWRZX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EUKZM7R544XW7F2VINSMYQWRZX","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":"a72a53b201db66bf47b199565d21ecf4e957aad77dd8a14361f1dcafe751d9cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-10-03T17:35:46Z","title_canon_sha256":"e389cdfa91a885bfb97236bc2429cc7ed4dbc66c403cf0eb35ef1f0d5e914cf5"},"schema_version":"1.0","source":{"id":"1310.1039","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1039","created_at":"2026-05-18T03:11:24Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1039v1","created_at":"2026-05-18T03:11:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1039","created_at":"2026-05-18T03:11:24Z"},{"alias_kind":"pith_short_12","alias_value":"EUKZM7R544XW","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EUKZM7R544XW7F2V","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EUKZM7R5","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:b463f23d2a06edfeb7c35d30d3d4fb288cc467b6bf30c1d2a450af65415993a8","target":"graph","created_at":"2026-05-18T03:11:24Z","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 phase structure of three-dimensional Z(N>4) lattice gauge theories at finite temperature is investigated. Using the dual formulation of the models and a cluster algorithm we locate the critical points of the two transitions, determine various critical indices and compute average action and specific heat. Results are consistent with two transitions of infinite order, belonging to the universality class of two-dimensional Z(N) vector spin models.","authors_text":"Alessandro Papa, Gennaro Cortese, Ivan Surzhikov, Mario Gravina, Oleg Borisenko, Volodymyr Chelnokov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-10-03T17:35:46Z","title":"Critical properties of 3D Z(N) lattice gauge theories at finite temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1039","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":"sha256:8fab8cdcc74d2e3d4c9cb30ff68f3c87e70581712872f9d77165214a382ccb7b","target":"record","created_at":"2026-05-18T03:11:24Z","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":"a72a53b201db66bf47b199565d21ecf4e957aad77dd8a14361f1dcafe751d9cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-10-03T17:35:46Z","title_canon_sha256":"e389cdfa91a885bfb97236bc2429cc7ed4dbc66c403cf0eb35ef1f0d5e914cf5"},"schema_version":"1.0","source":{"id":"1310.1039","kind":"arxiv","version":1}},"canonical_sha256":"2515967e3de72f6f97554364cc42d1cdf6b4be75c3433a7132c70a4a2312bb2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2515967e3de72f6f97554364cc42d1cdf6b4be75c3433a7132c70a4a2312bb2a","first_computed_at":"2026-05-18T03:11:24.680791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:24.680791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SUy6V3K82h9JyUpVoyFwtcXN3O8W/DVYp/ckdG8Endx6cBHbubZC/Or9TdGaeMpabhtSP7VRlwzOgWWT4p78AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:24.681427Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1039","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fab8cdcc74d2e3d4c9cb30ff68f3c87e70581712872f9d77165214a382ccb7b","sha256:b463f23d2a06edfeb7c35d30d3d4fb288cc467b6bf30c1d2a450af65415993a8"],"state_sha256":"5cd388cc61a41d5d9257b9622773d89f0fdb847efc99549c4ea4dcc6825349f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3UWB7D9ZhK3bJ6egEEQ0Fcbt8e0ByD/83jBwMUScKV9POcSZoLn4nP+RYyio0ET7ivzE0eUQxh33cfJC5GifAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:33:33.943671Z","bundle_sha256":"7de8bc6e8a409cab831effffec04767d07eab917ba2a16839c63f558059e679f"}}