{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:QY4UKWF5GRDKZAE54YWJ66LS5N","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":"6f2fad3b01107d5b6af6f3c15efeeb25545a7e514dcfe8aae3899ca658bda128","cross_cats_sorted":["hep-lat","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-09-27T19:47:31Z","title_canon_sha256":"013de0f90a91f8632e649286561e9224ef11c93f77dae02de78c28d69c6933bd"},"schema_version":"1.0","source":{"id":"2109.13321","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.13321","created_at":"2026-07-05T05:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"2109.13321v2","created_at":"2026-07-05T05:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.13321","created_at":"2026-07-05T05:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"QY4UKWF5GRDK","created_at":"2026-07-05T05:50:03Z"},{"alias_kind":"pith_short_16","alias_value":"QY4UKWF5GRDKZAE5","created_at":"2026-07-05T05:50:03Z"},{"alias_kind":"pith_short_8","alias_value":"QY4UKWF5","created_at":"2026-07-05T05:50:03Z"}],"graph_snapshots":[{"event_id":"sha256:59462b6cb1e4d7283e094d6d6ce1d786245b23e1a82c668d0d4f74db43da68a9","target":"graph","created_at":"2026-07-05T05:50:03Z","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/2109.13321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss a novel approach to estimate the partition function in effective model frameworks when the effective potentials have multiple extrema, so that ascertaining a mean field becomes difficult. Using this approach we present a consistent model to study the thermodynamic properties of gluon quasi-particles as a function of temperature, both in the color confined and the color deconfined phases.","authors_text":"Chowdhury Aminul Islam, Munshi G. Mustafa, Pracheta Singha, Rajarshi Ray","cross_cats":["hep-lat","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-09-27T19:47:31Z","title":"Consistent approach to study gluon quasi-particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.13321","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:f0333a0f1dc9e222bacbee582c931c98db700bf833edc39755003a69d4680dbc","target":"record","created_at":"2026-07-05T05:50:03Z","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":"6f2fad3b01107d5b6af6f3c15efeeb25545a7e514dcfe8aae3899ca658bda128","cross_cats_sorted":["hep-lat","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-09-27T19:47:31Z","title_canon_sha256":"013de0f90a91f8632e649286561e9224ef11c93f77dae02de78c28d69c6933bd"},"schema_version":"1.0","source":{"id":"2109.13321","kind":"arxiv","version":2}},"canonical_sha256":"86394558bd3446ac809de62c9f7972eb63b7bad05033d644e61f1be30e518bd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86394558bd3446ac809de62c9f7972eb63b7bad05033d644e61f1be30e518bd6","first_computed_at":"2026-07-05T05:50:03.757671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:50:03.757671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g61H4YE2dmhaVvzt40++jP97cJDNo/d25HOxBrBL0ZHtNbPu8Xktl/ng2McMkr6c+m8PlFZ11cyoEg8DwFRCBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:50:03.758086Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.13321","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0333a0f1dc9e222bacbee582c931c98db700bf833edc39755003a69d4680dbc","sha256:59462b6cb1e4d7283e094d6d6ce1d786245b23e1a82c668d0d4f74db43da68a9"],"state_sha256":"e685dd0ff69ac16dc791e270d031de08ea1ab2309cce36eafacc9ec14dda5fea"}