{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:JFYJ2NJK5D7ARNOLD4QKEJNFVV","short_pith_number":"pith:JFYJ2NJK","canonical_record":{"source":{"id":"0902.3901","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-ph","submitted_at":"2009-02-23T12:50:45Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"873169a3ee91dc8c43e8f60d32a4a4ae2ef16e9aecfe21e2bf8b5510d60e58fa","abstract_canon_sha256":"81a3417c9ba0d4966cc8be5f57f3ad341a5bd10be3ff41ac4ba312695a327dba"},"schema_version":"1.0"},"canonical_sha256":"49709d352ae8fe08b5cb1f20a225a5ad6a77e2010e471756a9a3dba343da59c8","source":{"kind":"arxiv","id":"0902.3901","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.3901","created_at":"2026-05-18T02:35:00Z"},{"alias_kind":"arxiv_version","alias_value":"0902.3901v4","created_at":"2026-05-18T02:35:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.3901","created_at":"2026-05-18T02:35:00Z"},{"alias_kind":"pith_short_12","alias_value":"JFYJ2NJK5D7A","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JFYJ2NJK5D7ARNOL","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JFYJ2NJK","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:JFYJ2NJK5D7ARNOLD4QKEJNFVV","target":"record","payload":{"canonical_record":{"source":{"id":"0902.3901","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-ph","submitted_at":"2009-02-23T12:50:45Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"873169a3ee91dc8c43e8f60d32a4a4ae2ef16e9aecfe21e2bf8b5510d60e58fa","abstract_canon_sha256":"81a3417c9ba0d4966cc8be5f57f3ad341a5bd10be3ff41ac4ba312695a327dba"},"schema_version":"1.0"},"canonical_sha256":"49709d352ae8fe08b5cb1f20a225a5ad6a77e2010e471756a9a3dba343da59c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:00.940667Z","signature_b64":"MSM5AmE6hh0ivkBNcjU5eEaajk2MWdifgcLz3pMLssTYcAyOqunTfGcd934IU4sKxgs2ZTwynzG3f0CGppOYAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49709d352ae8fe08b5cb1f20a225a5ad6a77e2010e471756a9a3dba343da59c8","last_reissued_at":"2026-05-18T02:35:00.940094Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:00.940094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0902.3901","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X6ZcZYIldu/NRAiWNAJA31LVeicbuU257aeCcdUy3cPP+wF12749/yJEvJ/zSustfnqIwxLhEn13eaWdXRivBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:31:14.905947Z"},"content_sha256":"310cde4834f0e043834b47324c8689c4926ba2e5ff91212be14a8966f3343222","schema_version":"1.0","event_id":"sha256:310cde4834f0e043834b47324c8689c4926ba2e5ff91212be14a8966f3343222"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:JFYJ2NJK5D7ARNOLD4QKEJNFVV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The non-perturbative analytical equation of state for the gluon matter. I","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"M. Vas\\'uth, V. Gogokhia","submitted_at":"2009-02-23T12:50:45Z","abstract_excerpt":"The effective potential approach for composite operators has been generalized to non-zero temperatures in order to derive equation of state for the pure SU(3) Yang-Mills fields from first principles. In the absence of external sources it is nothing but the vacuum energy density. The key element of this derivation was an introduction of the temperature dependence into the expression for the Bag constant. Such obtained non-perturbative analytical equation of state for the gluon matter does not depend on the coupling constant, only the dependence on the mass gap, which is responsible for the larg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.3901","kind":"arxiv","version":4},"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":"2026-05-18T02:35:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wN/DK/YaL3HTpsrB5iydKL7I0etMkttcltaGyC5U5x07Hm604LRbYRJGy5fvyUyIDjBlW330NJsLvumxP0cKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:31:14.906555Z"},"content_sha256":"15ea49da4595b7927dae804b2760bf6cba1bedc0645dce71f04e36ab22ca4dc2","schema_version":"1.0","event_id":"sha256:15ea49da4595b7927dae804b2760bf6cba1bedc0645dce71f04e36ab22ca4dc2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JFYJ2NJK5D7ARNOLD4QKEJNFVV/bundle.json","state_url":"https://pith.science/pith/JFYJ2NJK5D7ARNOLD4QKEJNFVV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JFYJ2NJK5D7ARNOLD4QKEJNFVV/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":"2026-05-25T18:31:14Z","links":{"resolver":"https://pith.science/pith/JFYJ2NJK5D7ARNOLD4QKEJNFVV","bundle":"https://pith.science/pith/JFYJ2NJK5D7ARNOLD4QKEJNFVV/bundle.json","state":"https://pith.science/pith/JFYJ2NJK5D7ARNOLD4QKEJNFVV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JFYJ2NJK5D7ARNOLD4QKEJNFVV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JFYJ2NJK5D7ARNOLD4QKEJNFVV","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":"81a3417c9ba0d4966cc8be5f57f3ad341a5bd10be3ff41ac4ba312695a327dba","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-ph","submitted_at":"2009-02-23T12:50:45Z","title_canon_sha256":"873169a3ee91dc8c43e8f60d32a4a4ae2ef16e9aecfe21e2bf8b5510d60e58fa"},"schema_version":"1.0","source":{"id":"0902.3901","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.3901","created_at":"2026-05-18T02:35:00Z"},{"alias_kind":"arxiv_version","alias_value":"0902.3901v4","created_at":"2026-05-18T02:35:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.3901","created_at":"2026-05-18T02:35:00Z"},{"alias_kind":"pith_short_12","alias_value":"JFYJ2NJK5D7A","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JFYJ2NJK5D7ARNOL","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JFYJ2NJK","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:15ea49da4595b7927dae804b2760bf6cba1bedc0645dce71f04e36ab22ca4dc2","target":"graph","created_at":"2026-05-18T02:35:00Z","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 effective potential approach for composite operators has been generalized to non-zero temperatures in order to derive equation of state for the pure SU(3) Yang-Mills fields from first principles. In the absence of external sources it is nothing but the vacuum energy density. The key element of this derivation was an introduction of the temperature dependence into the expression for the Bag constant. Such obtained non-perturbative analytical equation of state for the gluon matter does not depend on the coupling constant, only the dependence on the mass gap, which is responsible for the larg","authors_text":"M. Vas\\'uth, V. Gogokhia","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-ph","submitted_at":"2009-02-23T12:50:45Z","title":"The non-perturbative analytical equation of state for the gluon matter. I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.3901","kind":"arxiv","version":4},"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":"sha256:310cde4834f0e043834b47324c8689c4926ba2e5ff91212be14a8966f3343222","target":"record","created_at":"2026-05-18T02:35:00Z","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":"81a3417c9ba0d4966cc8be5f57f3ad341a5bd10be3ff41ac4ba312695a327dba","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-ph","submitted_at":"2009-02-23T12:50:45Z","title_canon_sha256":"873169a3ee91dc8c43e8f60d32a4a4ae2ef16e9aecfe21e2bf8b5510d60e58fa"},"schema_version":"1.0","source":{"id":"0902.3901","kind":"arxiv","version":4}},"canonical_sha256":"49709d352ae8fe08b5cb1f20a225a5ad6a77e2010e471756a9a3dba343da59c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49709d352ae8fe08b5cb1f20a225a5ad6a77e2010e471756a9a3dba343da59c8","first_computed_at":"2026-05-18T02:35:00.940094Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:00.940094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MSM5AmE6hh0ivkBNcjU5eEaajk2MWdifgcLz3pMLssTYcAyOqunTfGcd934IU4sKxgs2ZTwynzG3f0CGppOYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:00.940667Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.3901","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:310cde4834f0e043834b47324c8689c4926ba2e5ff91212be14a8966f3343222","sha256:15ea49da4595b7927dae804b2760bf6cba1bedc0645dce71f04e36ab22ca4dc2"],"state_sha256":"9a7e50682d3c6fda2507c1270af3d8ed0355dd65407917b3544d37216c2fd86c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wQ38zseuoo0ruv+o1PG6B4wPl5oCvfsWcDdqAkoKYcHgWVZMC/q+/oSLXHdk/dlQcsGqdg2/NXT9cw115JraBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:31:14.909988Z","bundle_sha256":"5a254a2d7de32dcfee1d4ee848bfc89aac888b83aea01592e840c85140ccaaf5"}}