{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:VI2QIN6VCUCGNVEH7APUEMYCOQ","short_pith_number":"pith:VI2QIN6V","canonical_record":{"source":{"id":"0706.2191","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-06-14T20:22:50Z","cross_cats_sorted":[],"title_canon_sha256":"3ce044fed833965e787ba778778afb498c5b9a3671e5d6f240a00391acc33b55","abstract_canon_sha256":"666b27d2f0f7bcf09d56bd29e2792c6d1cfdfe33ddb28b30b475609fdfa3386e"},"schema_version":"1.0"},"canonical_sha256":"aa350437d5150466d487f81f423302743e3ad13959ddc2dbf6e1ad3ea3dfc4ae","source":{"kind":"arxiv","id":"0706.2191","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2191","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2191v3","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2191","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"pith_short_12","alias_value":"VI2QIN6VCUCG","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"pith_short_16","alias_value":"VI2QIN6VCUCGNVEH","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"pith_short_8","alias_value":"VI2QIN6V","created_at":"2026-07-04T17:24:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:VI2QIN6VCUCGNVEH7APUEMYCOQ","target":"record","payload":{"canonical_record":{"source":{"id":"0706.2191","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-06-14T20:22:50Z","cross_cats_sorted":[],"title_canon_sha256":"3ce044fed833965e787ba778778afb498c5b9a3671e5d6f240a00391acc33b55","abstract_canon_sha256":"666b27d2f0f7bcf09d56bd29e2792c6d1cfdfe33ddb28b30b475609fdfa3386e"},"schema_version":"1.0"},"canonical_sha256":"aa350437d5150466d487f81f423302743e3ad13959ddc2dbf6e1ad3ea3dfc4ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:57.505724Z","signature_b64":"7MNQa71w76V887Ee8zcbSG5UD6bHtdANVwdQfpuK46je2PyWG6weRT3g0Ze1ilRIECRH6sRvAS+AWpcr5UrQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa350437d5150466d487f81f423302743e3ad13959ddc2dbf6e1ad3ea3dfc4ae","last_reissued_at":"2026-07-04T17:24:57.505276Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:57.505276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.2191","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7fIW6rZxEA8SNXasBE8aDOuWsEZaVovDtUekeGV4KcY/IoV8MOQrCqPiFcKhpF7VpNpRqpchE/AgWKiZHRX+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-21T06:02:25.665805Z"},"content_sha256":"3f2ab0021160815bc668c08f559223cde73016eff6f24ac1e332f1c1f8518ccd","schema_version":"1.0","event_id":"sha256:3f2ab0021160815bc668c08f559223cde73016eff6f24ac1e332f1c1f8518ccd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:VI2QIN6VCUCGNVEH7APUEMYCOQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phases of Dense Quarks at Large N_c","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Larry McLerran, Robert D. Pisarski","submitted_at":"2007-06-14T20:22:50Z","abstract_excerpt":"In the limit of a large number of colors, N_c, we suggest that gauge theories can exhibit several distinct phases at nonzero temperature and quark density. Two are familiar: a cold, dilute phase of confined hadrons, where the pressure is ~ 1, and a hot phase of deconfined quarks and gluons, with pressure ~ N_c^2. When the quark chemical potential mu ~ 1, the deconfining transition temperature, T_d, is independent of mu. For T < T_d, as mu increases above the mass threshold, baryons quickly form a dense phase where the pressure is ~ N_c. As illustrated by a Skyrme crystal, chiral symmetry can b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2191","kind":"arxiv","version":3},"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/0706.2191/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":"2026-07-04T17:24:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z2FAGzhmnx6MWgpOToNGPJrVyz7uIgDFU5W74vgOyDoo3NtlfAAcGl6RKXvpLaKUa4FjIQjjuR3IafO/j6DzAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-21T06:02:25.666182Z"},"content_sha256":"88e02c067b60cb3f88cb6550431b5d181d539ded2d40d9714534aaaec3c82420","schema_version":"1.0","event_id":"sha256:88e02c067b60cb3f88cb6550431b5d181d539ded2d40d9714534aaaec3c82420"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/bundle.json","state_url":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/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":"2026-07-21T06:02:25Z","links":{"resolver":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ","bundle":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/bundle.json","state":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:VI2QIN6VCUCGNVEH7APUEMYCOQ","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":"666b27d2f0f7bcf09d56bd29e2792c6d1cfdfe33ddb28b30b475609fdfa3386e","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-06-14T20:22:50Z","title_canon_sha256":"3ce044fed833965e787ba778778afb498c5b9a3671e5d6f240a00391acc33b55"},"schema_version":"1.0","source":{"id":"0706.2191","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2191","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2191v3","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2191","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"pith_short_12","alias_value":"VI2QIN6VCUCG","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"pith_short_16","alias_value":"VI2QIN6VCUCGNVEH","created_at":"2026-07-04T17:24:57Z"},{"alias_kind":"pith_short_8","alias_value":"VI2QIN6V","created_at":"2026-07-04T17:24:57Z"}],"graph_snapshots":[{"event_id":"sha256:88e02c067b60cb3f88cb6550431b5d181d539ded2d40d9714534aaaec3c82420","target":"graph","created_at":"2026-07-04T17:24:57Z","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/0706.2191/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the limit of a large number of colors, N_c, we suggest that gauge theories can exhibit several distinct phases at nonzero temperature and quark density. Two are familiar: a cold, dilute phase of confined hadrons, where the pressure is ~ 1, and a hot phase of deconfined quarks and gluons, with pressure ~ N_c^2. When the quark chemical potential mu ~ 1, the deconfining transition temperature, T_d, is independent of mu. For T < T_d, as mu increases above the mass threshold, baryons quickly form a dense phase where the pressure is ~ N_c. As illustrated by a Skyrme crystal, chiral symmetry can b","authors_text":"Larry McLerran, Robert D. Pisarski","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-06-14T20:22:50Z","title":"Phases of Dense Quarks at Large N_c"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2191","kind":"arxiv","version":3},"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":"sha256:3f2ab0021160815bc668c08f559223cde73016eff6f24ac1e332f1c1f8518ccd","target":"record","created_at":"2026-07-04T17:24:57Z","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":"666b27d2f0f7bcf09d56bd29e2792c6d1cfdfe33ddb28b30b475609fdfa3386e","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-06-14T20:22:50Z","title_canon_sha256":"3ce044fed833965e787ba778778afb498c5b9a3671e5d6f240a00391acc33b55"},"schema_version":"1.0","source":{"id":"0706.2191","kind":"arxiv","version":3}},"canonical_sha256":"aa350437d5150466d487f81f423302743e3ad13959ddc2dbf6e1ad3ea3dfc4ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa350437d5150466d487f81f423302743e3ad13959ddc2dbf6e1ad3ea3dfc4ae","first_computed_at":"2026-07-04T17:24:57.505276Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:24:57.505276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7MNQa71w76V887Ee8zcbSG5UD6bHtdANVwdQfpuK46je2PyWG6weRT3g0Ze1ilRIECRH6sRvAS+AWpcr5UrQDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:24:57.505724Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.2191","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f2ab0021160815bc668c08f559223cde73016eff6f24ac1e332f1c1f8518ccd","sha256:88e02c067b60cb3f88cb6550431b5d181d539ded2d40d9714534aaaec3c82420"],"state_sha256":"f4ccd4b4f7fe886c0bd5698a1d5724f90c580d05a3c08ef31ccbe5da2cf3de97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vKTdnuERxq7CbR5ckgvaCzZJN6L6xRSNELz+KwCccr49rhTHGGy6ERJ9Ntf4Bwxwbx59UD5QABQZrMn26MzeCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-21T06:02:25.668427Z","bundle_sha256":"8d7b7f40c85af5d786dd5184b749257c6d764940ed96f272d4e6bde6002af376"}}