{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IA6E5B77WE3YE6XQK6OURLDPGZ","short_pith_number":"pith:IA6E5B77","canonical_record":{"source":{"id":"1508.04291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-08-18T12:25:50Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"d0f0a1b006b4f6c48e1905e4fa9313a675ea89d126e5a55ae34820bc27d07587","abstract_canon_sha256":"928c6a0101fbb50cea3b6d63aa5d95c2c112fcc0b898bb814be2b483d39d51e5"},"schema_version":"1.0"},"canonical_sha256":"403c4e87ffb137827af0579d48ac6f36433f8b807850c001ee43ecc5e25b60ca","source":{"kind":"arxiv","id":"1508.04291","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04291","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04291v1","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04291","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"pith_short_12","alias_value":"IA6E5B77WE3Y","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IA6E5B77WE3YE6XQ","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IA6E5B77","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IA6E5B77WE3YE6XQK6OURLDPGZ","target":"record","payload":{"canonical_record":{"source":{"id":"1508.04291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-08-18T12:25:50Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"d0f0a1b006b4f6c48e1905e4fa9313a675ea89d126e5a55ae34820bc27d07587","abstract_canon_sha256":"928c6a0101fbb50cea3b6d63aa5d95c2c112fcc0b898bb814be2b483d39d51e5"},"schema_version":"1.0"},"canonical_sha256":"403c4e87ffb137827af0579d48ac6f36433f8b807850c001ee43ecc5e25b60ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:44.272434Z","signature_b64":"YMr11/+mPpDnPYRY/NJxnAdRhtQO/G3nHdUL5Q1PU2TKcecRvAczOf5b64kR2wH3qE0Q+9Vf4JEhgCSLRisBAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"403c4e87ffb137827af0579d48ac6f36433f8b807850c001ee43ecc5e25b60ca","last_reissued_at":"2026-05-18T01:19:44.271779Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:44.271779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.04291","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":"2026-05-18T01:19:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+H9AKsnmC/u9J9NJZ0ZwDO2K7hmu9MUQGWcVggMDV9fzdDXnnOTcsIVAGcKXmDavczVXQqCpIVcjSfDYLdLKDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T12:07:06.869394Z"},"content_sha256":"eb69c26eacfe5203560861b58c270c52cb846a81a7ad8f0d22f348dbadf04166","schema_version":"1.0","event_id":"sha256:eb69c26eacfe5203560861b58c270c52cb846a81a7ad8f0d22f348dbadf04166"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IA6E5B77WE3YE6XQK6OURLDPGZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-loop HTLpt thermodynamics at finite temperature and chemical potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Aritra Bandyopadhyay, Michael Strickland, Munshi G. Mustafa, Najmul Haque, Nan Su","submitted_at":"2015-08-18T12:25:50Z","abstract_excerpt":"In this proceedings we present a state-of-the-art method of calculating thermodynamic potential at finite temperature and finite chemical potential, using Hard Thermal Loop perturbation theory (HTLpt) up to next-to-next-leading-order (NNLO). The resulting thermodynamic potential enables us to evaluate different thermodynamic quantities including pressure and various quark number susceptibilities (QNS). Comparison between our analytic results for those thermodynamic quantities with the available lattice data shows a good agreement."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04291","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":""},"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":"2026-05-18T01:19:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dr3N6WsHbvOheSaSBzVuDVVB4OWkeMGR11uxb4beeWn12nx035acs4YxkF1YteBxQrQfIP2vOnD7A7djS5SkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T12:07:06.869793Z"},"content_sha256":"835332b1a31b3686c971f08a6e44c47d07759ec9579d42b9bca8fffdbbd2c246","schema_version":"1.0","event_id":"sha256:835332b1a31b3686c971f08a6e44c47d07759ec9579d42b9bca8fffdbbd2c246"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IA6E5B77WE3YE6XQK6OURLDPGZ/bundle.json","state_url":"https://pith.science/pith/IA6E5B77WE3YE6XQK6OURLDPGZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IA6E5B77WE3YE6XQK6OURLDPGZ/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":"2026-05-21T12:07:06Z","links":{"resolver":"https://pith.science/pith/IA6E5B77WE3YE6XQK6OURLDPGZ","bundle":"https://pith.science/pith/IA6E5B77WE3YE6XQK6OURLDPGZ/bundle.json","state":"https://pith.science/pith/IA6E5B77WE3YE6XQK6OURLDPGZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IA6E5B77WE3YE6XQK6OURLDPGZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IA6E5B77WE3YE6XQK6OURLDPGZ","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":"928c6a0101fbb50cea3b6d63aa5d95c2c112fcc0b898bb814be2b483d39d51e5","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-08-18T12:25:50Z","title_canon_sha256":"d0f0a1b006b4f6c48e1905e4fa9313a675ea89d126e5a55ae34820bc27d07587"},"schema_version":"1.0","source":{"id":"1508.04291","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04291","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04291v1","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04291","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"pith_short_12","alias_value":"IA6E5B77WE3Y","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IA6E5B77WE3YE6XQ","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IA6E5B77","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:835332b1a31b3686c971f08a6e44c47d07759ec9579d42b9bca8fffdbbd2c246","target":"graph","created_at":"2026-05-18T01:19:44Z","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":"In this proceedings we present a state-of-the-art method of calculating thermodynamic potential at finite temperature and finite chemical potential, using Hard Thermal Loop perturbation theory (HTLpt) up to next-to-next-leading-order (NNLO). The resulting thermodynamic potential enables us to evaluate different thermodynamic quantities including pressure and various quark number susceptibilities (QNS). Comparison between our analytic results for those thermodynamic quantities with the available lattice data shows a good agreement.","authors_text":"Aritra Bandyopadhyay, Michael Strickland, Munshi G. Mustafa, Najmul Haque, Nan Su","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-08-18T12:25:50Z","title":"Three-loop HTLpt thermodynamics at finite temperature and chemical potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04291","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:eb69c26eacfe5203560861b58c270c52cb846a81a7ad8f0d22f348dbadf04166","target":"record","created_at":"2026-05-18T01:19:44Z","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":"928c6a0101fbb50cea3b6d63aa5d95c2c112fcc0b898bb814be2b483d39d51e5","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-08-18T12:25:50Z","title_canon_sha256":"d0f0a1b006b4f6c48e1905e4fa9313a675ea89d126e5a55ae34820bc27d07587"},"schema_version":"1.0","source":{"id":"1508.04291","kind":"arxiv","version":1}},"canonical_sha256":"403c4e87ffb137827af0579d48ac6f36433f8b807850c001ee43ecc5e25b60ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"403c4e87ffb137827af0579d48ac6f36433f8b807850c001ee43ecc5e25b60ca","first_computed_at":"2026-05-18T01:19:44.271779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:44.271779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YMr11/+mPpDnPYRY/NJxnAdRhtQO/G3nHdUL5Q1PU2TKcecRvAczOf5b64kR2wH3qE0Q+9Vf4JEhgCSLRisBAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:44.272434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.04291","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb69c26eacfe5203560861b58c270c52cb846a81a7ad8f0d22f348dbadf04166","sha256:835332b1a31b3686c971f08a6e44c47d07759ec9579d42b9bca8fffdbbd2c246"],"state_sha256":"18d14a308f93fa2a04185d421edb9c4c725d874b1382f94aefe39dba95fadb15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yfxBJR3aNvGFJdQQt7T0Ql0NPoQ8jWe/PyLLS+pSamyiqvXTX5Ff79A+gFCRzty4fAxrSJL0BPLhqej2o5AbBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T12:07:06.871850Z","bundle_sha256":"496dbbb54d6a0a9a1a227a2f4b2b8e5c247ea5d90ae9e3ced89a331e820249d2"}}