{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:2VM43OAZ6JYZ3OFSIYFHKWIS76","short_pith_number":"pith:2VM43OAZ","schema_version":"1.0","canonical_sha256":"d559cdb819f2719db8b2460a755912ffb365bfea404d0c42aed9740fa6eca7cc","source":{"kind":"arxiv","id":"1304.0961","version":2},"attestation_state":"computed","paper":{"title":"Gauge invariant bound state equations for quark-antiquark systems in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"H. Sazdjian","submitted_at":"2013-04-03T14:15:01Z","abstract_excerpt":"Using gauge invariant quark Green's functions, defined with path-ordered gluon field phase factors along polygonal lines, and functional relations among them, two compatible bound state equations of the Dirac type are established for quark-antiquark systems, each relative to the quark or to the antiquark of the system. The kernels of the bound state equations are defined through a series of Wilson loop averages along closed polygonal contours and their functional derivatives on them. A sufficient criterion for spontaneous chiral symmetry breaking is derived, relating the Goldstone boson wave f"},"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":"1304.0961","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-04-03T14:15:01Z","cross_cats_sorted":[],"title_canon_sha256":"f541f228418578bcb20573e8080fd4d2a78d93afa54ecffcba7b2b66b092ed58","abstract_canon_sha256":"0a70dbab9186457ca88654137d442cdef65d63f9c44ad3622acee883d37ec16a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:49.882249Z","signature_b64":"bg/4kWjsGlB1nDTYGpHI/sAUllgAgBfDmwmAANoj7md/WL+lytKG1EmrXvHn+IcJLBT1iAHzP03sKXVrzLnbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d559cdb819f2719db8b2460a755912ffb365bfea404d0c42aed9740fa6eca7cc","last_reissued_at":"2026-05-18T03:14:49.881627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:49.881627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauge invariant bound state equations for quark-antiquark systems in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"H. Sazdjian","submitted_at":"2013-04-03T14:15:01Z","abstract_excerpt":"Using gauge invariant quark Green's functions, defined with path-ordered gluon field phase factors along polygonal lines, and functional relations among them, two compatible bound state equations of the Dirac type are established for quark-antiquark systems, each relative to the quark or to the antiquark of the system. The kernels of the bound state equations are defined through a series of Wilson loop averages along closed polygonal contours and their functional derivatives on them. A sufficient criterion for spontaneous chiral symmetry breaking is derived, relating the Goldstone boson wave f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0961","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":""},"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":"1304.0961","created_at":"2026-05-18T03:14:49.881735+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.0961v2","created_at":"2026-05-18T03:14:49.881735+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0961","created_at":"2026-05-18T03:14:49.881735+00:00"},{"alias_kind":"pith_short_12","alias_value":"2VM43OAZ6JYZ","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"2VM43OAZ6JYZ3OFS","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"2VM43OAZ","created_at":"2026-05-18T12:27:32.513160+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/2VM43OAZ6JYZ3OFSIYFHKWIS76","json":"https://pith.science/pith/2VM43OAZ6JYZ3OFSIYFHKWIS76.json","graph_json":"https://pith.science/api/pith-number/2VM43OAZ6JYZ3OFSIYFHKWIS76/graph.json","events_json":"https://pith.science/api/pith-number/2VM43OAZ6JYZ3OFSIYFHKWIS76/events.json","paper":"https://pith.science/paper/2VM43OAZ"},"agent_actions":{"view_html":"https://pith.science/pith/2VM43OAZ6JYZ3OFSIYFHKWIS76","download_json":"https://pith.science/pith/2VM43OAZ6JYZ3OFSIYFHKWIS76.json","view_paper":"https://pith.science/paper/2VM43OAZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.0961&json=true","fetch_graph":"https://pith.science/api/pith-number/2VM43OAZ6JYZ3OFSIYFHKWIS76/graph.json","fetch_events":"https://pith.science/api/pith-number/2VM43OAZ6JYZ3OFSIYFHKWIS76/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2VM43OAZ6JYZ3OFSIYFHKWIS76/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2VM43OAZ6JYZ3OFSIYFHKWIS76/action/storage_attestation","attest_author":"https://pith.science/pith/2VM43OAZ6JYZ3OFSIYFHKWIS76/action/author_attestation","sign_citation":"https://pith.science/pith/2VM43OAZ6JYZ3OFSIYFHKWIS76/action/citation_signature","submit_replication":"https://pith.science/pith/2VM43OAZ6JYZ3OFSIYFHKWIS76/action/replication_record"}},"created_at":"2026-05-18T03:14:49.881735+00:00","updated_at":"2026-05-18T03:14:49.881735+00:00"}