{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:AC644LQRHCZ4ALFMHLQZANARZX","short_pith_number":"pith:AC644LQR","canonical_record":{"source":{"id":"2005.11073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-05-22T09:29:56Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"0b3214c41ac42199a4b223132a0e3e7693a992f2e44fde2d41fcf1e8c5a6ce23","abstract_canon_sha256":"f22109583c61cf7f600b9a5eee74e2ceb48f9842aae5e992a7e7c66a136b11c2"},"schema_version":"1.0"},"canonical_sha256":"00bdce2e1138b3c02cac3ae1903411cdd452ae7a7b7a2c67a2d8adfb6dfab9df","source":{"kind":"arxiv","id":"2005.11073","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.11073","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"arxiv_version","alias_value":"2005.11073v1","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.11073","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"pith_short_12","alias_value":"AC644LQRHCZ4","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"pith_short_16","alias_value":"AC644LQRHCZ4ALFM","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"pith_short_8","alias_value":"AC644LQR","created_at":"2026-07-05T01:19:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:AC644LQRHCZ4ALFMHLQZANARZX","target":"record","payload":{"canonical_record":{"source":{"id":"2005.11073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-05-22T09:29:56Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"0b3214c41ac42199a4b223132a0e3e7693a992f2e44fde2d41fcf1e8c5a6ce23","abstract_canon_sha256":"f22109583c61cf7f600b9a5eee74e2ceb48f9842aae5e992a7e7c66a136b11c2"},"schema_version":"1.0"},"canonical_sha256":"00bdce2e1138b3c02cac3ae1903411cdd452ae7a7b7a2c67a2d8adfb6dfab9df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:19:05.944121Z","signature_b64":"AUz1/MSpr1MgoTTmXDRVJS6FcG+uyMd/HJ+KNEebGKGjKD5jKr5v5lyRnLm0IqMetIMiBHidRg4Ohse75Kt3AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00bdce2e1138b3c02cac3ae1903411cdd452ae7a7b7a2c67a2d8adfb6dfab9df","last_reissued_at":"2026-07-05T01:19:05.943703Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:19:05.943703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2005.11073","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":"2026-07-05T01:19:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+T82TdDtz4DXHxQ0nz4d+PG4wbHwt29GWTWvXMM/U/WeehuN8UQMpoQf9BtUkwriR2KjwF1+l3KiBirbrg3UBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:41:02.566162Z"},"content_sha256":"bf69dd2b0e237f33dc705d9192e87dd96512456095f6ba8eceee9094f4fa910a","schema_version":"1.0","event_id":"sha256:bf69dd2b0e237f33dc705d9192e87dd96512456095f6ba8eceee9094f4fa910a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:AC644LQRHCZ4ALFMHLQZANARZX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dual formulations of Polyakov loop lattice models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"hep-lat","authors_text":"O. Borisenko, S. Voloshyn, V. Chelnokov","submitted_at":"2020-05-22T09:29:56Z","abstract_excerpt":"Dual representations are constructed for non-abelian lattice spin models with U(N) and SU(N) symmetry groups, for all N and in any dimension. These models are usually related to the effective models describing the interaction between Polyakov loops in the strong coupled QCD. The original spin degrees of freedom are explicitly integrated out and a dual theory appears to be a local theory for the dual integer-valued variables. The construction is performed for the partition function and for the most general correlation function. The latter include the two-point function corresponding to quark-an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.11073","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2005.11073/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:19:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"49BsS/j1O0HLjKc/1wYbiSvXlHM8zb/z3ugacu6hfdE/wE2QlMHTHjLX74YH+OsiDoS1IVP9Khqkl7OOqY4DDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:41:02.566669Z"},"content_sha256":"7857189a58fc2165cffd87ddc0d9b641990dc1aa2f47c98a69b4b6f6a824b158","schema_version":"1.0","event_id":"sha256:7857189a58fc2165cffd87ddc0d9b641990dc1aa2f47c98a69b4b6f6a824b158"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AC644LQRHCZ4ALFMHLQZANARZX/bundle.json","state_url":"https://pith.science/pith/AC644LQRHCZ4ALFMHLQZANARZX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AC644LQRHCZ4ALFMHLQZANARZX/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":"2026-08-04T12:41:02Z","links":{"resolver":"https://pith.science/pith/AC644LQRHCZ4ALFMHLQZANARZX","bundle":"https://pith.science/pith/AC644LQRHCZ4ALFMHLQZANARZX/bundle.json","state":"https://pith.science/pith/AC644LQRHCZ4ALFMHLQZANARZX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AC644LQRHCZ4ALFMHLQZANARZX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:AC644LQRHCZ4ALFMHLQZANARZX","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":"f22109583c61cf7f600b9a5eee74e2ceb48f9842aae5e992a7e7c66a136b11c2","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-05-22T09:29:56Z","title_canon_sha256":"0b3214c41ac42199a4b223132a0e3e7693a992f2e44fde2d41fcf1e8c5a6ce23"},"schema_version":"1.0","source":{"id":"2005.11073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.11073","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"arxiv_version","alias_value":"2005.11073v1","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.11073","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"pith_short_12","alias_value":"AC644LQRHCZ4","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"pith_short_16","alias_value":"AC644LQRHCZ4ALFM","created_at":"2026-07-05T01:19:05Z"},{"alias_kind":"pith_short_8","alias_value":"AC644LQR","created_at":"2026-07-05T01:19:05Z"}],"graph_snapshots":[{"event_id":"sha256:7857189a58fc2165cffd87ddc0d9b641990dc1aa2f47c98a69b4b6f6a824b158","target":"graph","created_at":"2026-07-05T01:19:05Z","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/2005.11073/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Dual representations are constructed for non-abelian lattice spin models with U(N) and SU(N) symmetry groups, for all N and in any dimension. These models are usually related to the effective models describing the interaction between Polyakov loops in the strong coupled QCD. The original spin degrees of freedom are explicitly integrated out and a dual theory appears to be a local theory for the dual integer-valued variables. The construction is performed for the partition function and for the most general correlation function. The latter include the two-point function corresponding to quark-an","authors_text":"O. Borisenko, S. Voloshyn, V. Chelnokov","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-05-22T09:29:56Z","title":"Dual formulations of Polyakov loop lattice models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.11073","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:bf69dd2b0e237f33dc705d9192e87dd96512456095f6ba8eceee9094f4fa910a","target":"record","created_at":"2026-07-05T01:19:05Z","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":"f22109583c61cf7f600b9a5eee74e2ceb48f9842aae5e992a7e7c66a136b11c2","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2020-05-22T09:29:56Z","title_canon_sha256":"0b3214c41ac42199a4b223132a0e3e7693a992f2e44fde2d41fcf1e8c5a6ce23"},"schema_version":"1.0","source":{"id":"2005.11073","kind":"arxiv","version":1}},"canonical_sha256":"00bdce2e1138b3c02cac3ae1903411cdd452ae7a7b7a2c67a2d8adfb6dfab9df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00bdce2e1138b3c02cac3ae1903411cdd452ae7a7b7a2c67a2d8adfb6dfab9df","first_computed_at":"2026-07-05T01:19:05.943703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:19:05.943703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AUz1/MSpr1MgoTTmXDRVJS6FcG+uyMd/HJ+KNEebGKGjKD5jKr5v5lyRnLm0IqMetIMiBHidRg4Ohse75Kt3AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:19:05.944121Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.11073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf69dd2b0e237f33dc705d9192e87dd96512456095f6ba8eceee9094f4fa910a","sha256:7857189a58fc2165cffd87ddc0d9b641990dc1aa2f47c98a69b4b6f6a824b158"],"state_sha256":"375f35a880c8c8985b94bfd7b844644501c8ed6e7d55ee4f9e0d5d5cc0abf0a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dpyC7y9Gs5+Msn7EEKA6Km1aaavdcnUa8Q7FyGTd8iSoyk/+f3vjzSMppDk1ChVGLFlHMLd1mafq0bsWI6XGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T12:41:02.571666Z","bundle_sha256":"6e9e4992c1409d7916f5dfffa242404b2f2ed4c81bea7896482e8fdd53ec99b7"}}