{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:JODNUJ2KILYBAVICROHCJU3KIJ","short_pith_number":"pith:JODNUJ2K","canonical_record":{"source":{"id":"hep-ph/9908248","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-04T21:50:17Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"0528962af5314bc117fa0c24ec489cff4a90db7007931ec5de6dd7cbd4dc677e","abstract_canon_sha256":"10a5cc6dc24390be2c90f06afdc6ed6e200a11f866f659227d103ec36162c5b5"},"schema_version":"1.0"},"canonical_sha256":"4b86da274a42f01055028b8e24d36a426df87118e2fc654f3f263877e628a6f4","source":{"kind":"arxiv","id":"hep-ph/9908248","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9908248","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9908248v2","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9908248","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"pith_short_12","alias_value":"JODNUJ2KILYB","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"pith_short_16","alias_value":"JODNUJ2KILYBAVIC","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"pith_short_8","alias_value":"JODNUJ2K","created_at":"2026-07-04T16:14:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:JODNUJ2KILYBAVICROHCJU3KIJ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9908248","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-04T21:50:17Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"0528962af5314bc117fa0c24ec489cff4a90db7007931ec5de6dd7cbd4dc677e","abstract_canon_sha256":"10a5cc6dc24390be2c90f06afdc6ed6e200a11f866f659227d103ec36162c5b5"},"schema_version":"1.0"},"canonical_sha256":"4b86da274a42f01055028b8e24d36a426df87118e2fc654f3f263877e628a6f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:25.334512Z","signature_b64":"L79L49n8Q/w3ma7Ri7TiOjcUSt9i/4ix+1eTBn5nxjelWmnnK5RyhUPRjApYG8ivQguBY4NgekTYTAAdN7FuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b86da274a42f01055028b8e24d36a426df87118e2fc654f3f263877e628a6f4","last_reissued_at":"2026-07-04T16:14:25.334114Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:25.334114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9908248","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":"2026-07-04T16:14:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LMuQdYr5l8fvTeucn/VB+vB6yzy1lPcg8+LHQTSxsaLjL2nsmFem5irXScyEObXKwQ9hSAithfIV28W+Y+yPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T01:45:56.845314Z"},"content_sha256":"669df86cca3e6b4b4843732ddef5173a44f0bd7d4b58c9f62b31ef7a0148c770","schema_version":"1.0","event_id":"sha256:669df86cca3e6b4b4843732ddef5173a44f0bd7d4b58c9f62b31ef7a0148c770"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:JODNUJ2KILYBAVICROHCJU3KIJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Perturbative Nature of Color Superconductivity","license":"","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Hai-cang Ren, James T. Liu, William E. Brown","submitted_at":"1999-08-04T21:50:17Z","abstract_excerpt":"Color superconductivity is a possible phase of high density QCD. We present a systematic derivation of the transition temperature, T_C, from the QCD Lagrangian through study of the di-quark proper vertex. With this approach, we confirm the dependence of T_C on the coupling g, namely $T_C \\sim \\mu g^{-5} e^{-\\kappa/g}$, previously obtained from the one-gluon exchange approximation in the superconducting phase. The diagrammatic approach we employ allows us to examine the perturbative expansion of the vertex and the propagators. We find an additional O(1) contribution to the prefactor of the expo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9908248","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9908248/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":"2026-07-04T16:14:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nkWKRF9pe2jiP+aCBjhRBt39QnXs0/nWCymq6OQJbRg0dKZ7viqp/TLOlLyY+WU6nGG+kPCJpn/2r+/P6/rvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T01:45:56.845842Z"},"content_sha256":"e34e73d4ebe340bf84c438f31544ca303c3f937793972a3d9d038f665fa7c7b4","schema_version":"1.0","event_id":"sha256:e34e73d4ebe340bf84c438f31544ca303c3f937793972a3d9d038f665fa7c7b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JODNUJ2KILYBAVICROHCJU3KIJ/bundle.json","state_url":"https://pith.science/pith/JODNUJ2KILYBAVICROHCJU3KIJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JODNUJ2KILYBAVICROHCJU3KIJ/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":"2026-08-14T01:45:56Z","links":{"resolver":"https://pith.science/pith/JODNUJ2KILYBAVICROHCJU3KIJ","bundle":"https://pith.science/pith/JODNUJ2KILYBAVICROHCJU3KIJ/bundle.json","state":"https://pith.science/pith/JODNUJ2KILYBAVICROHCJU3KIJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JODNUJ2KILYBAVICROHCJU3KIJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:JODNUJ2KILYBAVICROHCJU3KIJ","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":"10a5cc6dc24390be2c90f06afdc6ed6e200a11f866f659227d103ec36162c5b5","cross_cats_sorted":["hep-th","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-04T21:50:17Z","title_canon_sha256":"0528962af5314bc117fa0c24ec489cff4a90db7007931ec5de6dd7cbd4dc677e"},"schema_version":"1.0","source":{"id":"hep-ph/9908248","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9908248","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9908248v2","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9908248","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"pith_short_12","alias_value":"JODNUJ2KILYB","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"pith_short_16","alias_value":"JODNUJ2KILYBAVIC","created_at":"2026-07-04T16:14:25Z"},{"alias_kind":"pith_short_8","alias_value":"JODNUJ2K","created_at":"2026-07-04T16:14:25Z"}],"graph_snapshots":[{"event_id":"sha256:e34e73d4ebe340bf84c438f31544ca303c3f937793972a3d9d038f665fa7c7b4","target":"graph","created_at":"2026-07-04T16:14:25Z","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/9908248/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Color superconductivity is a possible phase of high density QCD. We present a systematic derivation of the transition temperature, T_C, from the QCD Lagrangian through study of the di-quark proper vertex. With this approach, we confirm the dependence of T_C on the coupling g, namely $T_C \\sim \\mu g^{-5} e^{-\\kappa/g}$, previously obtained from the one-gluon exchange approximation in the superconducting phase. The diagrammatic approach we employ allows us to examine the perturbative expansion of the vertex and the propagators. We find an additional O(1) contribution to the prefactor of the expo","authors_text":"Hai-cang Ren, James T. Liu, William E. Brown","cross_cats":["hep-th","nucl-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-08-04T21:50:17Z","title":"On the Perturbative Nature of Color Superconductivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9908248","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":"sha256:669df86cca3e6b4b4843732ddef5173a44f0bd7d4b58c9f62b31ef7a0148c770","target":"record","created_at":"2026-07-04T16:14:25Z","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":"10a5cc6dc24390be2c90f06afdc6ed6e200a11f866f659227d103ec36162c5b5","cross_cats_sorted":["hep-th","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-04T21:50:17Z","title_canon_sha256":"0528962af5314bc117fa0c24ec489cff4a90db7007931ec5de6dd7cbd4dc677e"},"schema_version":"1.0","source":{"id":"hep-ph/9908248","kind":"arxiv","version":2}},"canonical_sha256":"4b86da274a42f01055028b8e24d36a426df87118e2fc654f3f263877e628a6f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b86da274a42f01055028b8e24d36a426df87118e2fc654f3f263877e628a6f4","first_computed_at":"2026-07-04T16:14:25.334114Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:14:25.334114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L79L49n8Q/w3ma7Ri7TiOjcUSt9i/4ix+1eTBn5nxjelWmnnK5RyhUPRjApYG8ivQguBY4NgekTYTAAdN7FuBg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:14:25.334512Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9908248","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:669df86cca3e6b4b4843732ddef5173a44f0bd7d4b58c9f62b31ef7a0148c770","sha256:e34e73d4ebe340bf84c438f31544ca303c3f937793972a3d9d038f665fa7c7b4"],"state_sha256":"9790026ffad02638880c6c7f2387a5312d75fdba539938dcdf6cfb9725c6512c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yUH0VbHOpkSPZ5mZ3Id279cmpZcd7E7x89gQpHj58tN1+GxLHep9Jzjy8YRGZ+kiuMSmW74XrvCyIszkRbK8DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T01:45:56.849651Z","bundle_sha256":"1017423e30c1edc9fe92fd303da4d0be9692c7a54331dbf1fd1a9567c16bf68c"}}