{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:7ETLQI26NDF3TZCS5B6IXS5UQK","short_pith_number":"pith:7ETLQI26","schema_version":"1.0","canonical_sha256":"f926b8235e68cbb9e452e87c8bcbb482a751aa41250ee4b7902e12c6d3494c58","source":{"kind":"arxiv","id":"1011.3524","version":1},"attestation_state":"computed","paper":{"title":"Entropy, confinement, and chiral symmetry breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"John M. Cornwall","submitted_at":"2010-11-15T21:08:45Z","abstract_excerpt":"This paper studies the way in which confinement leads to chiral symmetry breaking (CSB) through a gap equation. We argue that entropic effects cut off infrared singularities in the standard confining effective propagator $1/p^4$, which should be replaced by $1/(p^2+m^2)^2$ for a finite mass $m\\sim K_F/M(0)$ [$M(0)$ is the zero-momentum value of the running quark mass]. Extension of an old calculation of the author yields a specific estimate for $m$. This cutoff propagator shows semi-quantitatively two critical properties of confinement: 1) a negative contribution to the confining potential com"},"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":"1011.3524","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-15T21:08:45Z","cross_cats_sorted":[],"title_canon_sha256":"399b4f596a3d72f2f83e05bf20b5557e493cd7d0a3ce423e54153a432fcb32a5","abstract_canon_sha256":"2cc0ac2f40d7b2d4665ff1578e219324fbb3ac73cc93e189247d3eb661e949b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:47.849251Z","signature_b64":"NEe7n+kEe2pMOXSOz8MuK7iXZ/fWGwotf7qKFpFyaYn03S/9LLUc4VJbEt8q0wOJwNBBOTb35EKnh7Mxw5WOBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f926b8235e68cbb9e452e87c8bcbb482a751aa41250ee4b7902e12c6d3494c58","last_reissued_at":"2026-05-18T04:23:47.848577Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:47.848577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropy, confinement, and chiral symmetry breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"John M. Cornwall","submitted_at":"2010-11-15T21:08:45Z","abstract_excerpt":"This paper studies the way in which confinement leads to chiral symmetry breaking (CSB) through a gap equation. We argue that entropic effects cut off infrared singularities in the standard confining effective propagator $1/p^4$, which should be replaced by $1/(p^2+m^2)^2$ for a finite mass $m\\sim K_F/M(0)$ [$M(0)$ is the zero-momentum value of the running quark mass]. Extension of an old calculation of the author yields a specific estimate for $m$. This cutoff propagator shows semi-quantitatively two critical properties of confinement: 1) a negative contribution to the confining potential com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3524","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":""},"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":"1011.3524","created_at":"2026-05-18T04:23:47.848683+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.3524v1","created_at":"2026-05-18T04:23:47.848683+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3524","created_at":"2026-05-18T04:23:47.848683+00:00"},{"alias_kind":"pith_short_12","alias_value":"7ETLQI26NDF3","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"7ETLQI26NDF3TZCS","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"7ETLQI26","created_at":"2026-05-18T12:26:04.259169+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/7ETLQI26NDF3TZCS5B6IXS5UQK","json":"https://pith.science/pith/7ETLQI26NDF3TZCS5B6IXS5UQK.json","graph_json":"https://pith.science/api/pith-number/7ETLQI26NDF3TZCS5B6IXS5UQK/graph.json","events_json":"https://pith.science/api/pith-number/7ETLQI26NDF3TZCS5B6IXS5UQK/events.json","paper":"https://pith.science/paper/7ETLQI26"},"agent_actions":{"view_html":"https://pith.science/pith/7ETLQI26NDF3TZCS5B6IXS5UQK","download_json":"https://pith.science/pith/7ETLQI26NDF3TZCS5B6IXS5UQK.json","view_paper":"https://pith.science/paper/7ETLQI26","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.3524&json=true","fetch_graph":"https://pith.science/api/pith-number/7ETLQI26NDF3TZCS5B6IXS5UQK/graph.json","fetch_events":"https://pith.science/api/pith-number/7ETLQI26NDF3TZCS5B6IXS5UQK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7ETLQI26NDF3TZCS5B6IXS5UQK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7ETLQI26NDF3TZCS5B6IXS5UQK/action/storage_attestation","attest_author":"https://pith.science/pith/7ETLQI26NDF3TZCS5B6IXS5UQK/action/author_attestation","sign_citation":"https://pith.science/pith/7ETLQI26NDF3TZCS5B6IXS5UQK/action/citation_signature","submit_replication":"https://pith.science/pith/7ETLQI26NDF3TZCS5B6IXS5UQK/action/replication_record"}},"created_at":"2026-05-18T04:23:47.848683+00:00","updated_at":"2026-05-18T04:23:47.848683+00:00"}