{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:RDKTPLS5JCI5FKNEUV7G2EAQTE","short_pith_number":"pith:RDKTPLS5","canonical_record":{"source":{"id":"hep-ph/9912409","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-12-20T22:03:53Z","cross_cats_sorted":["cond-mat.supr-con","hep-th","nucl-th"],"title_canon_sha256":"95a22c964fdba8677c27a96ba67a56b15114846f54857b65bd1a37b9f631e788","abstract_canon_sha256":"9c6e68795887f464ce620b17ae76dac99b6429b48af2098558bf1dd4eee3aa57"},"schema_version":"1.0"},"canonical_sha256":"88d537ae5d4891d2a9a4a57e6d10109938037e31a6f19c280277f68916d34528","source":{"kind":"arxiv","id":"hep-ph/9912409","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9912409","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9912409v1","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9912409","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"pith_short_12","alias_value":"RDKTPLS5JCI5","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"pith_short_16","alias_value":"RDKTPLS5JCI5FKNE","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"pith_short_8","alias_value":"RDKTPLS5","created_at":"2026-07-04T16:14:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:RDKTPLS5JCI5FKNEUV7G2EAQTE","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9912409","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-12-20T22:03:53Z","cross_cats_sorted":["cond-mat.supr-con","hep-th","nucl-th"],"title_canon_sha256":"95a22c964fdba8677c27a96ba67a56b15114846f54857b65bd1a37b9f631e788","abstract_canon_sha256":"9c6e68795887f464ce620b17ae76dac99b6429b48af2098558bf1dd4eee3aa57"},"schema_version":"1.0"},"canonical_sha256":"88d537ae5d4891d2a9a4a57e6d10109938037e31a6f19c280277f68916d34528","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:36.245790Z","signature_b64":"GYcuSLsKzuoZeLi9dG2YMwKrhpw4y/Nvz6BP/cd0B7VC9JY097SXKQEaQ8WEtSPN//N2Uou+U+pkEkhV6dlcAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88d537ae5d4891d2a9a4a57e6d10109938037e31a6f19c280277f68916d34528","last_reissued_at":"2026-07-04T16:14:36.245265Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:36.245265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9912409","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":"2026-07-04T16:14:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KEMSEWgbIJmLtNIRFfjjfY0rPKGBXDO/hjjaMqvgP588PBJ/DlsBGQ9ETGYunLTEH3ocMRVccNRhNn1Gg0joDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T10:08:00.768212Z"},"content_sha256":"0052ddd20d71335cbc93714fc19c4b1aadd131d01e89d5206e84ad1ea42c689d","schema_version":"1.0","event_id":"sha256:0052ddd20d71335cbc93714fc19c4b1aadd131d01e89d5206e84ad1ea42c689d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:RDKTPLS5JCI5FKNEUV7G2EAQTE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Transition Temperature to the Superconducting Phase of QCD at High Baryon Density","license":"","headline":"","cross_cats":["cond-mat.supr-con","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Hai-cang Ren, James T. Liu, William E. Brown","submitted_at":"1999-12-20T22:03:53Z","abstract_excerpt":"Recent interest in the study of color superconductivity has focused on the regime of high baryon density where perturbative QCD may be employed. Based on the dominant one-gluon-exchange interaction, both the transition temperature and zero temperature gap have been determined to leading order in the coupling, g. While the leading non-BCS behavior, $T_C\\sim\\mu g^{-5}e^{-\\kappa/g}$, is easily obtained, the pre-exponential factor has proved more difficult to evaluate. Focusing on the transition temperature, we present a perturbative derivation of this factor, exact to leading order in g. This app"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9912409","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9912409/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":"2026-07-04T16:14:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f+SByFizH2/WIn+Qx/zM/KTL4WZEB/bmnql7iWDBy2tDiC+FnDbn01O3HpJHHeytN4ZhOOeb0PEhOa1JSVd4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T10:08:00.770361Z"},"content_sha256":"b0710459148e8c5336f2b4451aac1c096f63bd5393545b3671952aee22c72ec4","schema_version":"1.0","event_id":"sha256:b0710459148e8c5336f2b4451aac1c096f63bd5393545b3671952aee22c72ec4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RDKTPLS5JCI5FKNEUV7G2EAQTE/bundle.json","state_url":"https://pith.science/pith/RDKTPLS5JCI5FKNEUV7G2EAQTE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RDKTPLS5JCI5FKNEUV7G2EAQTE/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":"2026-08-11T10:08:00Z","links":{"resolver":"https://pith.science/pith/RDKTPLS5JCI5FKNEUV7G2EAQTE","bundle":"https://pith.science/pith/RDKTPLS5JCI5FKNEUV7G2EAQTE/bundle.json","state":"https://pith.science/pith/RDKTPLS5JCI5FKNEUV7G2EAQTE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RDKTPLS5JCI5FKNEUV7G2EAQTE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:RDKTPLS5JCI5FKNEUV7G2EAQTE","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":"9c6e68795887f464ce620b17ae76dac99b6429b48af2098558bf1dd4eee3aa57","cross_cats_sorted":["cond-mat.supr-con","hep-th","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1999-12-20T22:03:53Z","title_canon_sha256":"95a22c964fdba8677c27a96ba67a56b15114846f54857b65bd1a37b9f631e788"},"schema_version":"1.0","source":{"id":"hep-ph/9912409","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9912409","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9912409v1","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9912409","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"pith_short_12","alias_value":"RDKTPLS5JCI5","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"pith_short_16","alias_value":"RDKTPLS5JCI5FKNE","created_at":"2026-07-04T16:14:36Z"},{"alias_kind":"pith_short_8","alias_value":"RDKTPLS5","created_at":"2026-07-04T16:14:36Z"}],"graph_snapshots":[{"event_id":"sha256:b0710459148e8c5336f2b4451aac1c096f63bd5393545b3671952aee22c72ec4","target":"graph","created_at":"2026-07-04T16:14:36Z","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/9912409/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent interest in the study of color superconductivity has focused on the regime of high baryon density where perturbative QCD may be employed. Based on the dominant one-gluon-exchange interaction, both the transition temperature and zero temperature gap have been determined to leading order in the coupling, g. While the leading non-BCS behavior, $T_C\\sim\\mu g^{-5}e^{-\\kappa/g}$, is easily obtained, the pre-exponential factor has proved more difficult to evaluate. Focusing on the transition temperature, we present a perturbative derivation of this factor, exact to leading order in g. This app","authors_text":"Hai-cang Ren, James T. Liu, William E. Brown","cross_cats":["cond-mat.supr-con","hep-th","nucl-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-12-20T22:03:53Z","title":"The Transition Temperature to the Superconducting Phase of QCD at High Baryon Density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9912409","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":"sha256:0052ddd20d71335cbc93714fc19c4b1aadd131d01e89d5206e84ad1ea42c689d","target":"record","created_at":"2026-07-04T16:14:36Z","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":"9c6e68795887f464ce620b17ae76dac99b6429b48af2098558bf1dd4eee3aa57","cross_cats_sorted":["cond-mat.supr-con","hep-th","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1999-12-20T22:03:53Z","title_canon_sha256":"95a22c964fdba8677c27a96ba67a56b15114846f54857b65bd1a37b9f631e788"},"schema_version":"1.0","source":{"id":"hep-ph/9912409","kind":"arxiv","version":1}},"canonical_sha256":"88d537ae5d4891d2a9a4a57e6d10109938037e31a6f19c280277f68916d34528","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88d537ae5d4891d2a9a4a57e6d10109938037e31a6f19c280277f68916d34528","first_computed_at":"2026-07-04T16:14:36.245265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:14:36.245265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GYcuSLsKzuoZeLi9dG2YMwKrhpw4y/Nvz6BP/cd0B7VC9JY097SXKQEaQ8WEtSPN//N2Uou+U+pkEkhV6dlcAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:14:36.245790Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9912409","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0052ddd20d71335cbc93714fc19c4b1aadd131d01e89d5206e84ad1ea42c689d","sha256:b0710459148e8c5336f2b4451aac1c096f63bd5393545b3671952aee22c72ec4"],"state_sha256":"6ad3eb7f259fb48908469cb3df28a0808761e0898db37bf485778be9eca8a108"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BNUqoM2y14tUn9N9DV3KDe4breUVeJ6wSF5REJtGPQQDAYHOzlxjHh5h9Ih09LSIpqO2RZd+FFQwhV4lg5nJAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T10:08:00.796940Z","bundle_sha256":"7f2b5c44bc67a31f46ea8ff14166393f5d9fd3ec11ee0e02717185084ec7a375"}}