{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:V4X27Q4EGOXQQ7BGU5SBASWWMW","short_pith_number":"pith:V4X27Q4E","canonical_record":{"source":{"id":"2412.17875","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-22T11:44:20Z","cross_cats_sorted":[],"title_canon_sha256":"2277246b492a51a1622e26f20ab38d991527f6f685110ddfb7fad03757f9d0bc","abstract_canon_sha256":"38640567192f7435e888c8e39f34c96a94de77f32f537c8f270bf080b4a3db46"},"schema_version":"1.0"},"canonical_sha256":"af2fafc38433af087c26a764104ad665bf7fa86dffb4ce0bcdf49285c9b7baf3","source":{"kind":"arxiv","id":"2412.17875","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.17875","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"2412.17875v2","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.17875","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"V4X27Q4EGOXQ","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"pith_short_16","alias_value":"V4X27Q4EGOXQQ7BG","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"pith_short_8","alias_value":"V4X27Q4E","created_at":"2026-07-05T11:09:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:V4X27Q4EGOXQQ7BGU5SBASWWMW","target":"record","payload":{"canonical_record":{"source":{"id":"2412.17875","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-22T11:44:20Z","cross_cats_sorted":[],"title_canon_sha256":"2277246b492a51a1622e26f20ab38d991527f6f685110ddfb7fad03757f9d0bc","abstract_canon_sha256":"38640567192f7435e888c8e39f34c96a94de77f32f537c8f270bf080b4a3db46"},"schema_version":"1.0"},"canonical_sha256":"af2fafc38433af087c26a764104ad665bf7fa86dffb4ce0bcdf49285c9b7baf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:09:05.789823Z","signature_b64":"s4CqSx4ahbwKGrsMniEQHDn4wGMnD2CqCNwZimQ8BzOdMKXrQ6pThwihhF+raKaSazyruJLo/JU7LMYmrYesBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af2fafc38433af087c26a764104ad665bf7fa86dffb4ce0bcdf49285c9b7baf3","last_reissued_at":"2026-07-05T11:09:05.789370Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:09:05.789370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.17875","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":"2026-07-05T11:09:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QtbK2frcdFVbRRQDq3/PKO81wz5wFPKGZKuO973mvkKECepfQKmU80Q5TUaH56sswss1iLYbhv75PM4ySqLuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:34:51.683305Z"},"content_sha256":"95ff29313e9487d0304a4422ec0786b9bd1af177429d1980ccdb8c968fc18131","schema_version":"1.0","event_id":"sha256:95ff29313e9487d0304a4422ec0786b9bd1af177429d1980ccdb8c968fc18131"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:V4X27Q4EGOXQQ7BGU5SBASWWMW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Remark on the Emergence of Color Superconductivity for Gauge Theories in General Spacetime Dimensions from simple Holographic Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nguyen Hoang Vu","submitted_at":"2024-12-22T11:44:20Z","abstract_excerpt":"We generalize the concept of holography for the color superconductivity (CSC) phase by considering $d$-dimensional Anti de Sitter (AdS) space instead of the traditional 6 dimensions. The corresponding dual field theory is an arbitrary confining gauge theory with $SU(N_c)$ symmetry, like quantum chromodynamics (QCD) CSC. We then use a holographic model based on Einstein-Maxwell gravity in $d$-dimensional AdS spacetime to study this phenomenon in both confinement and deconfinement phase, study the confinement$-$deconfinement phase transition and the condition for the $N_c=2$ CSC phase with $d=4$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.17875","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/2412.17875/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":"2026-07-05T11:09:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bRdVP/Mii5+421dp2y26iADZ9ikOuUE+dF7UgPFmpW3Uo24e92pnBLbn6y/MrMxca30YdOeeTL1YLrw45YtjBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:34:51.683936Z"},"content_sha256":"dfccfd6d3b507fde8f72867f64fd845816c9ab77276d24182f1b61b8342b5c38","schema_version":"1.0","event_id":"sha256:dfccfd6d3b507fde8f72867f64fd845816c9ab77276d24182f1b61b8342b5c38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V4X27Q4EGOXQQ7BGU5SBASWWMW/bundle.json","state_url":"https://pith.science/pith/V4X27Q4EGOXQQ7BGU5SBASWWMW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V4X27Q4EGOXQQ7BGU5SBASWWMW/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":"2026-08-19T22:34:51Z","links":{"resolver":"https://pith.science/pith/V4X27Q4EGOXQQ7BGU5SBASWWMW","bundle":"https://pith.science/pith/V4X27Q4EGOXQQ7BGU5SBASWWMW/bundle.json","state":"https://pith.science/pith/V4X27Q4EGOXQQ7BGU5SBASWWMW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V4X27Q4EGOXQQ7BGU5SBASWWMW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:V4X27Q4EGOXQQ7BGU5SBASWWMW","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":"38640567192f7435e888c8e39f34c96a94de77f32f537c8f270bf080b4a3db46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-22T11:44:20Z","title_canon_sha256":"2277246b492a51a1622e26f20ab38d991527f6f685110ddfb7fad03757f9d0bc"},"schema_version":"1.0","source":{"id":"2412.17875","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.17875","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"2412.17875v2","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.17875","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"V4X27Q4EGOXQ","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"pith_short_16","alias_value":"V4X27Q4EGOXQQ7BG","created_at":"2026-07-05T11:09:05Z"},{"alias_kind":"pith_short_8","alias_value":"V4X27Q4E","created_at":"2026-07-05T11:09:05Z"}],"graph_snapshots":[{"event_id":"sha256:dfccfd6d3b507fde8f72867f64fd845816c9ab77276d24182f1b61b8342b5c38","target":"graph","created_at":"2026-07-05T11:09:05Z","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/2412.17875/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We generalize the concept of holography for the color superconductivity (CSC) phase by considering $d$-dimensional Anti de Sitter (AdS) space instead of the traditional 6 dimensions. The corresponding dual field theory is an arbitrary confining gauge theory with $SU(N_c)$ symmetry, like quantum chromodynamics (QCD) CSC. We then use a holographic model based on Einstein-Maxwell gravity in $d$-dimensional AdS spacetime to study this phenomenon in both confinement and deconfinement phase, study the confinement$-$deconfinement phase transition and the condition for the $N_c=2$ CSC phase with $d=4$","authors_text":"Nguyen Hoang Vu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-22T11:44:20Z","title":"Remark on the Emergence of Color Superconductivity for Gauge Theories in General Spacetime Dimensions from simple Holographic Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.17875","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":"sha256:95ff29313e9487d0304a4422ec0786b9bd1af177429d1980ccdb8c968fc18131","target":"record","created_at":"2026-07-05T11:09:05Z","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":"38640567192f7435e888c8e39f34c96a94de77f32f537c8f270bf080b4a3db46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-22T11:44:20Z","title_canon_sha256":"2277246b492a51a1622e26f20ab38d991527f6f685110ddfb7fad03757f9d0bc"},"schema_version":"1.0","source":{"id":"2412.17875","kind":"arxiv","version":2}},"canonical_sha256":"af2fafc38433af087c26a764104ad665bf7fa86dffb4ce0bcdf49285c9b7baf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af2fafc38433af087c26a764104ad665bf7fa86dffb4ce0bcdf49285c9b7baf3","first_computed_at":"2026-07-05T11:09:05.789370Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:09:05.789370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s4CqSx4ahbwKGrsMniEQHDn4wGMnD2CqCNwZimQ8BzOdMKXrQ6pThwihhF+raKaSazyruJLo/JU7LMYmrYesBw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:09:05.789823Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.17875","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95ff29313e9487d0304a4422ec0786b9bd1af177429d1980ccdb8c968fc18131","sha256:dfccfd6d3b507fde8f72867f64fd845816c9ab77276d24182f1b61b8342b5c38"],"state_sha256":"27db50460a681f3e0eb56f4cc75e889c19dd47375d0545a28aa6dd5124354f7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dGv2qF5jpCLlYfIKCBYgz0yA3FXpj4PXAw2Ws7kbIG0yznHK+wQZx65qRsOdbIlssUnDzhxhatSlva8/lCohAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T22:34:51.688670Z","bundle_sha256":"1191eefeccfcc0ba31690b974d42269fbe93159383043a6115845b762bba1a33"}}