{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:XUBQUCWGJU4EVDLPZTZIKWXL2E","short_pith_number":"pith:XUBQUCWG","canonical_record":{"source":{"id":"hep-ph/9504264","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-04-10T13:22:15Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"e777730295b76463bef7688408b9636158cbad1a0f5d38367c360d5e74b0d0cd","abstract_canon_sha256":"270e872a7fc04e07f849921a91519b7384ae29dceeb4f4d9634f02ac3eb9d162"},"schema_version":"1.0"},"canonical_sha256":"bd030a0ac64d384a8d6fccf2855aebd1191283a30d2da860619562654ee25197","source":{"kind":"arxiv","id":"hep-ph/9504264","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9504264","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9504264v1","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9504264","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"pith_short_12","alias_value":"XUBQUCWGJU4E","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"XUBQUCWGJU4EVDLP","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"XUBQUCWG","created_at":"2026-07-04T15:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:XUBQUCWGJU4EVDLPZTZIKWXL2E","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9504264","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-04-10T13:22:15Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"e777730295b76463bef7688408b9636158cbad1a0f5d38367c360d5e74b0d0cd","abstract_canon_sha256":"270e872a7fc04e07f849921a91519b7384ae29dceeb4f4d9634f02ac3eb9d162"},"schema_version":"1.0"},"canonical_sha256":"bd030a0ac64d384a8d6fccf2855aebd1191283a30d2da860619562654ee25197","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:27:20.982733Z","signature_b64":"LLD8d44F9wIwhN8j0cBaAwrTr1jdJEDTN7naqkSNIukasi7TBZ+LkpR/9EU8mCaZF6wd5hsRIZfT90DlN4uxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd030a0ac64d384a8d6fccf2855aebd1191283a30d2da860619562654ee25197","last_reissued_at":"2026-07-04T15:27:20.982321Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:27:20.982321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9504264","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":"2026-07-04T15:27:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yi2++eecKDX5RJ9puB7QpGqtLwZnznPAUWu1HM4PZi8Wd+esLFf0fSYaBNO4AApp145DsYlNv4Hrr1cf2VoKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T21:47:47.066867Z"},"content_sha256":"237379b8de0b5a9766dd25433e4d02a0a3ec32db81d4f4dad8ef86c93eff578e","schema_version":"1.0","event_id":"sha256:237379b8de0b5a9766dd25433e4d02a0a3ec32db81d4f4dad8ef86c93eff578e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:XUBQUCWGJU4EVDLPZTZIKWXL2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Triality in QCD at Zero and Finite Temperature: A New Direction","license":"","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"G. Zinovjev, M. Faber, O. Borisenko","submitted_at":"1995-04-10T13:22:15Z","abstract_excerpt":"Discrete symmetries in grand canonical ensembles and in ensembles canonical with respect to triality are investigated. We speculate about the general phase structure of finite temperature gauge theories with discrete $Z(N)$ symmetry. Low and high temperature phases turn out to be different in both ensembles even for infinite systems. It is argued that gauge theories with matter fields in the fundamental representation should be treated in ensembles canonical with respect to triality if one wants to avoid unphysical predictions. Further, we discuss as a physical consequence of such a treatment "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9504264","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/hep-ph/9504264/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":"2026-07-04T15:27:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ynQJP+Vo73btCA9WsZBLr3tVAgocPIgy3VopkM1vfUEvqRu0gsZomElCaMoeKIAQPTwrivt2zRx9Elq1u+tvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T21:47:47.067764Z"},"content_sha256":"e7fb301ca0cdc374f05deeee9c9d4a540a9e9e4fa7dd1a01d1ff828bc2b495c7","schema_version":"1.0","event_id":"sha256:e7fb301ca0cdc374f05deeee9c9d4a540a9e9e4fa7dd1a01d1ff828bc2b495c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XUBQUCWGJU4EVDLPZTZIKWXL2E/bundle.json","state_url":"https://pith.science/pith/XUBQUCWGJU4EVDLPZTZIKWXL2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XUBQUCWGJU4EVDLPZTZIKWXL2E/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":"2026-08-13T21:47:47Z","links":{"resolver":"https://pith.science/pith/XUBQUCWGJU4EVDLPZTZIKWXL2E","bundle":"https://pith.science/pith/XUBQUCWGJU4EVDLPZTZIKWXL2E/bundle.json","state":"https://pith.science/pith/XUBQUCWGJU4EVDLPZTZIKWXL2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XUBQUCWGJU4EVDLPZTZIKWXL2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:XUBQUCWGJU4EVDLPZTZIKWXL2E","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":"270e872a7fc04e07f849921a91519b7384ae29dceeb4f4d9634f02ac3eb9d162","cross_cats_sorted":["hep-lat","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1995-04-10T13:22:15Z","title_canon_sha256":"e777730295b76463bef7688408b9636158cbad1a0f5d38367c360d5e74b0d0cd"},"schema_version":"1.0","source":{"id":"hep-ph/9504264","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9504264","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9504264v1","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9504264","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"pith_short_12","alias_value":"XUBQUCWGJU4E","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"XUBQUCWGJU4EVDLP","created_at":"2026-07-04T15:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"XUBQUCWG","created_at":"2026-07-04T15:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:e7fb301ca0cdc374f05deeee9c9d4a540a9e9e4fa7dd1a01d1ff828bc2b495c7","target":"graph","created_at":"2026-07-04T15:27:20Z","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-ph/9504264/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Discrete symmetries in grand canonical ensembles and in ensembles canonical with respect to triality are investigated. We speculate about the general phase structure of finite temperature gauge theories with discrete $Z(N)$ symmetry. Low and high temperature phases turn out to be different in both ensembles even for infinite systems. It is argued that gauge theories with matter fields in the fundamental representation should be treated in ensembles canonical with respect to triality if one wants to avoid unphysical predictions. Further, we discuss as a physical consequence of such a treatment ","authors_text":"G. Zinovjev, M. Faber, O. Borisenko","cross_cats":["hep-lat","hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1995-04-10T13:22:15Z","title":"Triality in QCD at Zero and Finite Temperature: A New Direction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9504264","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":"sha256:237379b8de0b5a9766dd25433e4d02a0a3ec32db81d4f4dad8ef86c93eff578e","target":"record","created_at":"2026-07-04T15:27:20Z","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":"270e872a7fc04e07f849921a91519b7384ae29dceeb4f4d9634f02ac3eb9d162","cross_cats_sorted":["hep-lat","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1995-04-10T13:22:15Z","title_canon_sha256":"e777730295b76463bef7688408b9636158cbad1a0f5d38367c360d5e74b0d0cd"},"schema_version":"1.0","source":{"id":"hep-ph/9504264","kind":"arxiv","version":1}},"canonical_sha256":"bd030a0ac64d384a8d6fccf2855aebd1191283a30d2da860619562654ee25197","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd030a0ac64d384a8d6fccf2855aebd1191283a30d2da860619562654ee25197","first_computed_at":"2026-07-04T15:27:20.982321Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:27:20.982321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LLD8d44F9wIwhN8j0cBaAwrTr1jdJEDTN7naqkSNIukasi7TBZ+LkpR/9EU8mCaZF6wd5hsRIZfT90DlN4uxBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:27:20.982733Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9504264","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:237379b8de0b5a9766dd25433e4d02a0a3ec32db81d4f4dad8ef86c93eff578e","sha256:e7fb301ca0cdc374f05deeee9c9d4a540a9e9e4fa7dd1a01d1ff828bc2b495c7"],"state_sha256":"03bfe22b848f9c2a6eb023209bd17cf65cbc5123ea49a7383de65400bdfa7cd4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XVWH8i/4BlZk7Y65UhHHIHM5g362S8eOrIPyqOTy5DEOgKBxM7fsqUjJ/P0cioNvCDXEiFkEq4bQsbTBAHshDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T21:47:47.079279Z","bundle_sha256":"8387d29450583c6079d7011441664142837c844c027660361f5349748df97d49"}}