{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:F3XXEMPVTNTABPUGTF42RWLZF3","short_pith_number":"pith:F3XXEMPV","canonical_record":{"source":{"id":"1204.2424","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-11T11:54:24Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"7a22bfcef8ff68dcc3ad17e03684539ccf7bc0679c6319b9148afedca46a9dbe","abstract_canon_sha256":"ad8bf5d23d52399bf8ef50412b5bd02f4f5318c7f30df7fcc3fb5756951f0f41"},"schema_version":"1.0"},"canonical_sha256":"2eef7231f59b6600be869979a8d9792ee130c3570d3f5ed60f5caf84c9783c09","source":{"kind":"arxiv","id":"1204.2424","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2424","created_at":"2026-05-18T03:43:40Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2424v2","created_at":"2026-05-18T03:43:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2424","created_at":"2026-05-18T03:43:40Z"},{"alias_kind":"pith_short_12","alias_value":"F3XXEMPVTNTA","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"F3XXEMPVTNTABPUG","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"F3XXEMPV","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:F3XXEMPVTNTABPUGTF42RWLZF3","target":"record","payload":{"canonical_record":{"source":{"id":"1204.2424","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-11T11:54:24Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"7a22bfcef8ff68dcc3ad17e03684539ccf7bc0679c6319b9148afedca46a9dbe","abstract_canon_sha256":"ad8bf5d23d52399bf8ef50412b5bd02f4f5318c7f30df7fcc3fb5756951f0f41"},"schema_version":"1.0"},"canonical_sha256":"2eef7231f59b6600be869979a8d9792ee130c3570d3f5ed60f5caf84c9783c09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:40.202014Z","signature_b64":"lLBfuY47TG2ojKl08ihxMJoZV7xs5l99JpcZb7Rzpr4oAjXxMfEQEGDIUX5RBsOMWSuMC1/H6fm5nl3u+6qdDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2eef7231f59b6600be869979a8d9792ee130c3570d3f5ed60f5caf84c9783c09","last_reissued_at":"2026-05-18T03:43:40.201340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:40.201340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.2424","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:43:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7YP9LCFioNIKD7276L+ICbJwD+YQmCTLeJW9BA6fHWYWP/feBWtFKN+RWODuWcQKPdObIXatf4X53Np4yvvzCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:45:36.823614Z"},"content_sha256":"3648cfaa71e9e267a005cf87fd9dba2529a71d41463b2993552232639eb7343c","schema_version":"1.0","event_id":"sha256:3648cfaa71e9e267a005cf87fd9dba2529a71d41463b2993552232639eb7343c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:F3XXEMPVTNTABPUGTF42RWLZF3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Polyakov loop and the hadron resonance gas model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"E. Megias, E. Ruiz Arriola, L. L. Salcedo","submitted_at":"2012-04-11T11:54:24Z","abstract_excerpt":"The Polyakov loop has been used repeatedly as an order parameter in the deconfinement phase transition in QCD. We argue that, in the confined phase, its expectation value can be represented in terms of hadronic states, similarly to the hadron resonance gas model for the pressure. Specifically, L(T) \\approx 1/2\\sum_\\alpha g_\\alpha \\,e^(-\\Delta_\\alpha/T), where g_\\alpha are the degeneracies and \\Delta_\\alpha are the masses of hadrons with exactly one heavy quark (the mass of the heavy quark itself being subtracted). We show that this approximate sum rule gives a fair description of available lat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2424","kind":"arxiv","version":2},"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":"2026-05-18T03:43:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A9aaBj1JY4slY4gEeDI5lU5xnetFOatgR7J+Kk/nbzEGnPxP8IaF3re5TpR2RG2yTLu+WjcN/TOpseCLcKxHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:45:36.823975Z"},"content_sha256":"6f2e2a253a2baf0082b967757c83f1243f7e3142adfaa672af3bb3b11ccb9e6a","schema_version":"1.0","event_id":"sha256:6f2e2a253a2baf0082b967757c83f1243f7e3142adfaa672af3bb3b11ccb9e6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F3XXEMPVTNTABPUGTF42RWLZF3/bundle.json","state_url":"https://pith.science/pith/F3XXEMPVTNTABPUGTF42RWLZF3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F3XXEMPVTNTABPUGTF42RWLZF3/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":"2026-06-01T13:45:36Z","links":{"resolver":"https://pith.science/pith/F3XXEMPVTNTABPUGTF42RWLZF3","bundle":"https://pith.science/pith/F3XXEMPVTNTABPUGTF42RWLZF3/bundle.json","state":"https://pith.science/pith/F3XXEMPVTNTABPUGTF42RWLZF3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F3XXEMPVTNTABPUGTF42RWLZF3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:F3XXEMPVTNTABPUGTF42RWLZF3","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":"ad8bf5d23d52399bf8ef50412b5bd02f4f5318c7f30df7fcc3fb5756951f0f41","cross_cats_sorted":["hep-lat","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-11T11:54:24Z","title_canon_sha256":"7a22bfcef8ff68dcc3ad17e03684539ccf7bc0679c6319b9148afedca46a9dbe"},"schema_version":"1.0","source":{"id":"1204.2424","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2424","created_at":"2026-05-18T03:43:40Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2424v2","created_at":"2026-05-18T03:43:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2424","created_at":"2026-05-18T03:43:40Z"},{"alias_kind":"pith_short_12","alias_value":"F3XXEMPVTNTA","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"F3XXEMPVTNTABPUG","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"F3XXEMPV","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:6f2e2a253a2baf0082b967757c83f1243f7e3142adfaa672af3bb3b11ccb9e6a","target":"graph","created_at":"2026-05-18T03:43:40Z","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 Polyakov loop has been used repeatedly as an order parameter in the deconfinement phase transition in QCD. We argue that, in the confined phase, its expectation value can be represented in terms of hadronic states, similarly to the hadron resonance gas model for the pressure. Specifically, L(T) \\approx 1/2\\sum_\\alpha g_\\alpha \\,e^(-\\Delta_\\alpha/T), where g_\\alpha are the degeneracies and \\Delta_\\alpha are the masses of hadrons with exactly one heavy quark (the mass of the heavy quark itself being subtracted). We show that this approximate sum rule gives a fair description of available lat","authors_text":"E. Megias, E. Ruiz Arriola, L. L. Salcedo","cross_cats":["hep-lat","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-11T11:54:24Z","title":"The Polyakov loop and the hadron resonance gas model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2424","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":"sha256:3648cfaa71e9e267a005cf87fd9dba2529a71d41463b2993552232639eb7343c","target":"record","created_at":"2026-05-18T03:43:40Z","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":"ad8bf5d23d52399bf8ef50412b5bd02f4f5318c7f30df7fcc3fb5756951f0f41","cross_cats_sorted":["hep-lat","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-11T11:54:24Z","title_canon_sha256":"7a22bfcef8ff68dcc3ad17e03684539ccf7bc0679c6319b9148afedca46a9dbe"},"schema_version":"1.0","source":{"id":"1204.2424","kind":"arxiv","version":2}},"canonical_sha256":"2eef7231f59b6600be869979a8d9792ee130c3570d3f5ed60f5caf84c9783c09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2eef7231f59b6600be869979a8d9792ee130c3570d3f5ed60f5caf84c9783c09","first_computed_at":"2026-05-18T03:43:40.201340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:40.201340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lLBfuY47TG2ojKl08ihxMJoZV7xs5l99JpcZb7Rzpr4oAjXxMfEQEGDIUX5RBsOMWSuMC1/H6fm5nl3u+6qdDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:40.202014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2424","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3648cfaa71e9e267a005cf87fd9dba2529a71d41463b2993552232639eb7343c","sha256:6f2e2a253a2baf0082b967757c83f1243f7e3142adfaa672af3bb3b11ccb9e6a"],"state_sha256":"3596d7f9aaa645ccb11858e12df9b99eae0ec3fdec8fe6768c1a248eac9bdf5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"irfSaFSDN1h5oozXJ50pgYCcKRPnWw4SCv01tp9JBG04C/+ZyR91yIkGwWQYW9Qg/4aN469jUjMAgOFMJZ8LBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:45:36.825988Z","bundle_sha256":"acf1400784a75731ed134cd53fb9df5f77c2a40cf4a593275d5234d71a8cfc2a"}}