{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:2SJ3MW32KSW2MIAAE76H3AWZB2","short_pith_number":"pith:2SJ3MW32","schema_version":"1.0","canonical_sha256":"d493b65b7a54ada6200027fc7d82d90eb5a0cf47625412ea5aa6b4624198aa45","source":{"kind":"arxiv","id":"2606.03707","version":1},"attestation_state":"computed","paper":{"title":"Astrophysical Constraints on Color-Superconducting Gap and N$^{3}$LO Perturbative-QCD Constant $c_0$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.HE","authors_text":"Shao-Peng Tang, Yi-Zhong Fan, Yong-Jia Huang","submitted_at":"2026-06-02T14:25:41Z","abstract_excerpt":"We probe the color-flavor locked (CFL) pairing gap ($\\Delta_{\\rm CFL}^{*}$) and the unknown N$^3$LO constant $c_0$ in perturbative QCD (pQCD) with Bayesian inference of flexible dense-matter equations of state (EOSs) informed by current astrophysical observations. Our EOS model combines a Gaussian process parameterization with sampled hyperparameters at neutron star densities and a boundary-constrained feed-forward neural network representation extending to pQCD densities, retaining nonparametric flexibility while supporting efficient nested sampling. Matching to the pQCD$+$CFL prediction at $"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.03707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-06-02T14:25:41Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"cc4313d190e70490e4847862f784110219a8e3ce67941accf1e4f6e8fac640ac","abstract_canon_sha256":"0fbee7041f47bec3826f4479ab1ebbefa93f2fbceaa6f8fb5796511082e42ee4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:06:05.069752Z","signature_b64":"vAqVJQEZ/rzRiy94f3B7uUeO+UFSC1SpuSeqqvS0hPRrEvh9hYJIkKCjAqASGJNeWQ7xzwF5cRCipfT73zJWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d493b65b7a54ada6200027fc7d82d90eb5a0cf47625412ea5aa6b4624198aa45","last_reissued_at":"2026-06-03T01:06:05.069301Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:06:05.069301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Astrophysical Constraints on Color-Superconducting Gap and N$^{3}$LO Perturbative-QCD Constant $c_0$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.HE","authors_text":"Shao-Peng Tang, Yi-Zhong Fan, Yong-Jia Huang","submitted_at":"2026-06-02T14:25:41Z","abstract_excerpt":"We probe the color-flavor locked (CFL) pairing gap ($\\Delta_{\\rm CFL}^{*}$) and the unknown N$^3$LO constant $c_0$ in perturbative QCD (pQCD) with Bayesian inference of flexible dense-matter equations of state (EOSs) informed by current astrophysical observations. Our EOS model combines a Gaussian process parameterization with sampled hyperparameters at neutron star densities and a boundary-constrained feed-forward neural network representation extending to pQCD densities, retaining nonparametric flexibility while supporting efficient nested sampling. Matching to the pQCD$+$CFL prediction at $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03707","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/2606.03707/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.03707","created_at":"2026-06-03T01:06:05.069375+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.03707v1","created_at":"2026-06-03T01:06:05.069375+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03707","created_at":"2026-06-03T01:06:05.069375+00:00"},{"alias_kind":"pith_short_12","alias_value":"2SJ3MW32KSW2","created_at":"2026-06-03T01:06:05.069375+00:00"},{"alias_kind":"pith_short_16","alias_value":"2SJ3MW32KSW2MIAA","created_at":"2026-06-03T01:06:05.069375+00:00"},{"alias_kind":"pith_short_8","alias_value":"2SJ3MW32","created_at":"2026-06-03T01:06:05.069375+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/2SJ3MW32KSW2MIAAE76H3AWZB2","json":"https://pith.science/pith/2SJ3MW32KSW2MIAAE76H3AWZB2.json","graph_json":"https://pith.science/api/pith-number/2SJ3MW32KSW2MIAAE76H3AWZB2/graph.json","events_json":"https://pith.science/api/pith-number/2SJ3MW32KSW2MIAAE76H3AWZB2/events.json","paper":"https://pith.science/paper/2SJ3MW32"},"agent_actions":{"view_html":"https://pith.science/pith/2SJ3MW32KSW2MIAAE76H3AWZB2","download_json":"https://pith.science/pith/2SJ3MW32KSW2MIAAE76H3AWZB2.json","view_paper":"https://pith.science/paper/2SJ3MW32","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.03707&json=true","fetch_graph":"https://pith.science/api/pith-number/2SJ3MW32KSW2MIAAE76H3AWZB2/graph.json","fetch_events":"https://pith.science/api/pith-number/2SJ3MW32KSW2MIAAE76H3AWZB2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2SJ3MW32KSW2MIAAE76H3AWZB2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2SJ3MW32KSW2MIAAE76H3AWZB2/action/storage_attestation","attest_author":"https://pith.science/pith/2SJ3MW32KSW2MIAAE76H3AWZB2/action/author_attestation","sign_citation":"https://pith.science/pith/2SJ3MW32KSW2MIAAE76H3AWZB2/action/citation_signature","submit_replication":"https://pith.science/pith/2SJ3MW32KSW2MIAAE76H3AWZB2/action/replication_record"}},"created_at":"2026-06-03T01:06:05.069375+00:00","updated_at":"2026-06-03T01:06:05.069375+00:00"}