{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:IMR3M2MDH4ADK3C67FVYVYPAA3","short_pith_number":"pith:IMR3M2MD","schema_version":"1.0","canonical_sha256":"4323b669833f00356c5ef96b8ae1e006fcebbf2cd304f007da88e8f193767ab2","source":{"kind":"arxiv","id":"1206.0901","version":2},"attestation_state":"computed","paper":{"title":"Hadronic Equation of State and Speed of Sound in Thermal and Dense Medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Abdel Nasser Tawfik (Egyptian Ctr. Theor. Phys., Cairo, Cairo), Hend Magdy (Egyptian Ctr. Theor. Phys., WLCAPP Cairo)","submitted_at":"2012-06-05T12:25:56Z","abstract_excerpt":"The equation of state $p(\\epsilon)$ and speed of sound squared $c_s^2$ are studied in grand canonical ensemble of all hadron resonances having masses $\\leq 2\\,$GeV. This large ensemble is divided into strange and non-strange hadron resonances and furthermore to pionic, bosonic and femionic sectors. It is found that the pions represent the main contributors to $c_s^2$ and other thermodynamic quantities including the equation of state $p(\\epsilon)$ at low temperatures. At high temperatures, the main contributions are added in by the massive hadron resonances. The speed of sound squared can be ca"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1206.0901","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-06-05T12:25:56Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"c0250c7b740e37966c383aae8409ed47ee51f8a6b4963051d1751cad6c69d5de","abstract_canon_sha256":"2edef2727d6bab457206e7b907f01be9f844c00fabe57df1595485ba8380b8c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:01.481087Z","signature_b64":"AHx+EHIsCd7AMeXK9cYCuzba3S4myiIO6TsdtJ7CIXKHtI+NBna/X8pza44OgRZ+rMMw8uNzyBANGUvYlqE8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4323b669833f00356c5ef96b8ae1e006fcebbf2cd304f007da88e8f193767ab2","last_reissued_at":"2026-05-18T02:39:01.480445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:01.480445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hadronic Equation of State and Speed of Sound in Thermal and Dense Medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Abdel Nasser Tawfik (Egyptian Ctr. Theor. Phys., Cairo, Cairo), Hend Magdy (Egyptian Ctr. Theor. Phys., WLCAPP Cairo)","submitted_at":"2012-06-05T12:25:56Z","abstract_excerpt":"The equation of state $p(\\epsilon)$ and speed of sound squared $c_s^2$ are studied in grand canonical ensemble of all hadron resonances having masses $\\leq 2\\,$GeV. This large ensemble is divided into strange and non-strange hadron resonances and furthermore to pionic, bosonic and femionic sectors. It is found that the pions represent the main contributors to $c_s^2$ and other thermodynamic quantities including the equation of state $p(\\epsilon)$ at low temperatures. At high temperatures, the main contributions are added in by the massive hadron resonances. The speed of sound squared can be ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0901","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1206.0901","created_at":"2026-05-18T02:39:01.480537+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.0901v2","created_at":"2026-05-18T02:39:01.480537+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0901","created_at":"2026-05-18T02:39:01.480537+00:00"},{"alias_kind":"pith_short_12","alias_value":"IMR3M2MDH4AD","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"IMR3M2MDH4ADK3C6","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"IMR3M2MD","created_at":"2026-05-18T12:27:09.501522+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IMR3M2MDH4ADK3C67FVYVYPAA3","json":"https://pith.science/pith/IMR3M2MDH4ADK3C67FVYVYPAA3.json","graph_json":"https://pith.science/api/pith-number/IMR3M2MDH4ADK3C67FVYVYPAA3/graph.json","events_json":"https://pith.science/api/pith-number/IMR3M2MDH4ADK3C67FVYVYPAA3/events.json","paper":"https://pith.science/paper/IMR3M2MD"},"agent_actions":{"view_html":"https://pith.science/pith/IMR3M2MDH4ADK3C67FVYVYPAA3","download_json":"https://pith.science/pith/IMR3M2MDH4ADK3C67FVYVYPAA3.json","view_paper":"https://pith.science/paper/IMR3M2MD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.0901&json=true","fetch_graph":"https://pith.science/api/pith-number/IMR3M2MDH4ADK3C67FVYVYPAA3/graph.json","fetch_events":"https://pith.science/api/pith-number/IMR3M2MDH4ADK3C67FVYVYPAA3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IMR3M2MDH4ADK3C67FVYVYPAA3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IMR3M2MDH4ADK3C67FVYVYPAA3/action/storage_attestation","attest_author":"https://pith.science/pith/IMR3M2MDH4ADK3C67FVYVYPAA3/action/author_attestation","sign_citation":"https://pith.science/pith/IMR3M2MDH4ADK3C67FVYVYPAA3/action/citation_signature","submit_replication":"https://pith.science/pith/IMR3M2MDH4ADK3C67FVYVYPAA3/action/replication_record"}},"created_at":"2026-05-18T02:39:01.480537+00:00","updated_at":"2026-05-18T02:39:01.480537+00:00"}