{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:HH7T2L5SXMRL7P3VWYPKUMYYY6","short_pith_number":"pith:HH7T2L5S","canonical_record":{"source":{"id":"hep-ph/9408276","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1994-08-12T01:38:40Z","cross_cats_sorted":[],"title_canon_sha256":"1002f7b36a48435d9a64be6bc09b73c476e94c6322a773a82bc9026932f91c81","abstract_canon_sha256":"e37bc1b97ccc8e4699e09fac896cb2450eeb319db16987db00fa54583e7b0d24"},"schema_version":"1.0"},"canonical_sha256":"39ff3d2fb2bb22bfbf75b61eaa3318c7818a42206e86159cd380e31abf7bbda5","source":{"kind":"arxiv","id":"hep-ph/9408276","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9408276","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9408276v1","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9408276","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"pith_short_12","alias_value":"HH7T2L5SXMRL","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"pith_short_16","alias_value":"HH7T2L5SXMRL7P3V","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"pith_short_8","alias_value":"HH7T2L5S","created_at":"2026-07-04T17:21:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:HH7T2L5SXMRL7P3VWYPKUMYYY6","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9408276","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1994-08-12T01:38:40Z","cross_cats_sorted":[],"title_canon_sha256":"1002f7b36a48435d9a64be6bc09b73c476e94c6322a773a82bc9026932f91c81","abstract_canon_sha256":"e37bc1b97ccc8e4699e09fac896cb2450eeb319db16987db00fa54583e7b0d24"},"schema_version":"1.0"},"canonical_sha256":"39ff3d2fb2bb22bfbf75b61eaa3318c7818a42206e86159cd380e31abf7bbda5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:21:48.295358Z","signature_b64":"61jHNRG+s32DBUoPw7+imnvJtmemOeJY/6f1jEO2ovGIToXM0kbNy4W7boWi9/J4EGbsMI7WVMd0y+7UiYkbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39ff3d2fb2bb22bfbf75b61eaa3318c7818a42206e86159cd380e31abf7bbda5","last_reissued_at":"2026-07-04T17:21:48.294926Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:21:48.294926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9408276","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":"2026-07-04T17:21:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FEx6OGTximpGvu8999LMtDjaHC2PDVFTQcyV3CNF70HtSU+qTUQy3uy0vFOqEoXPkEC6s4w0NlMyivJjZJ6JAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:56:38.435379Z"},"content_sha256":"3643838c3c4630ddf8eff812abb83b04928d61a1cbe3e66fe5440b4374c15c3c","schema_version":"1.0","event_id":"sha256:3643838c3c4630ddf8eff812abb83b04928d61a1cbe3e66fe5440b4374c15c3c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:HH7T2L5SXMRL7P3VWYPKUMYYY6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Three-Loop Free Energy for Pure Gauge QCD","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Chengxing Zhai, Peter Arnold","submitted_at":"1994-08-12T01:38:40Z","abstract_excerpt":"We compute the free energy density for pure non-Abelian gauge theory at high temperature and zero chemical potential. The three-loop result to $O(g^4)$ is\n  [a lovely formula. Get the paper and print it out.] We examine the sensitivity of this result to the choice of renormalization scale. We also give a result for the free energy of scalar $\\phi^4$ theory, correcting a result previously given in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9408276","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/9408276/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":"2026-07-04T17:21:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9VxPtnTrqGBzGcw3rMCS9piYu8czUeu335FjEV0xHE4/jJ8lsodQ5azivIRCj9eYU+Eggx9cy5PEZ8ZsETA3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:56:38.436383Z"},"content_sha256":"69fd2fdd1d7738e293435e39e7fd62c866c74afebd70492b9232385c53515096","schema_version":"1.0","event_id":"sha256:69fd2fdd1d7738e293435e39e7fd62c866c74afebd70492b9232385c53515096"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HH7T2L5SXMRL7P3VWYPKUMYYY6/bundle.json","state_url":"https://pith.science/pith/HH7T2L5SXMRL7P3VWYPKUMYYY6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HH7T2L5SXMRL7P3VWYPKUMYYY6/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":"2026-08-04T12:56:38Z","links":{"resolver":"https://pith.science/pith/HH7T2L5SXMRL7P3VWYPKUMYYY6","bundle":"https://pith.science/pith/HH7T2L5SXMRL7P3VWYPKUMYYY6/bundle.json","state":"https://pith.science/pith/HH7T2L5SXMRL7P3VWYPKUMYYY6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HH7T2L5SXMRL7P3VWYPKUMYYY6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:HH7T2L5SXMRL7P3VWYPKUMYYY6","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":"e37bc1b97ccc8e4699e09fac896cb2450eeb319db16987db00fa54583e7b0d24","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1994-08-12T01:38:40Z","title_canon_sha256":"1002f7b36a48435d9a64be6bc09b73c476e94c6322a773a82bc9026932f91c81"},"schema_version":"1.0","source":{"id":"hep-ph/9408276","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9408276","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9408276v1","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9408276","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"pith_short_12","alias_value":"HH7T2L5SXMRL","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"pith_short_16","alias_value":"HH7T2L5SXMRL7P3V","created_at":"2026-07-04T17:21:48Z"},{"alias_kind":"pith_short_8","alias_value":"HH7T2L5S","created_at":"2026-07-04T17:21:48Z"}],"graph_snapshots":[{"event_id":"sha256:69fd2fdd1d7738e293435e39e7fd62c866c74afebd70492b9232385c53515096","target":"graph","created_at":"2026-07-04T17:21:48Z","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/9408276/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the free energy density for pure non-Abelian gauge theory at high temperature and zero chemical potential. The three-loop result to $O(g^4)$ is\n  [a lovely formula. Get the paper and print it out.] We examine the sensitivity of this result to the choice of renormalization scale. We also give a result for the free energy of scalar $\\phi^4$ theory, correcting a result previously given in the literature.","authors_text":"Chengxing Zhai, Peter Arnold","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1994-08-12T01:38:40Z","title":"The Three-Loop Free Energy for Pure Gauge QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9408276","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":"sha256:3643838c3c4630ddf8eff812abb83b04928d61a1cbe3e66fe5440b4374c15c3c","target":"record","created_at":"2026-07-04T17:21:48Z","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":"e37bc1b97ccc8e4699e09fac896cb2450eeb319db16987db00fa54583e7b0d24","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1994-08-12T01:38:40Z","title_canon_sha256":"1002f7b36a48435d9a64be6bc09b73c476e94c6322a773a82bc9026932f91c81"},"schema_version":"1.0","source":{"id":"hep-ph/9408276","kind":"arxiv","version":1}},"canonical_sha256":"39ff3d2fb2bb22bfbf75b61eaa3318c7818a42206e86159cd380e31abf7bbda5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39ff3d2fb2bb22bfbf75b61eaa3318c7818a42206e86159cd380e31abf7bbda5","first_computed_at":"2026-07-04T17:21:48.294926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:21:48.294926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"61jHNRG+s32DBUoPw7+imnvJtmemOeJY/6f1jEO2ovGIToXM0kbNy4W7boWi9/J4EGbsMI7WVMd0y+7UiYkbBw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:21:48.295358Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9408276","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3643838c3c4630ddf8eff812abb83b04928d61a1cbe3e66fe5440b4374c15c3c","sha256:69fd2fdd1d7738e293435e39e7fd62c866c74afebd70492b9232385c53515096"],"state_sha256":"3d2ccd00535163c62ec695b3d4149f06c80570e41cccfdf05de1aea175c34688"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9fpGUTRthY0XtrK28vYOlAQCUK9KoAxoEotLK8a8UEzmKvYobRuRIfFjo/XVRPgKLSKqkrmav6vtmZfyJ8EPCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T12:56:38.442568Z","bundle_sha256":"7bdba730abdae1b4280b4b0b13cb8f531b71303587b97f6ee95ce2bcd9aa0895"}}