{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3CNRJMJZM46E2RE23BHC34ADF7","short_pith_number":"pith:3CNRJMJZ","schema_version":"1.0","canonical_sha256":"d89b14b139673c4d449ad84e2df0032fc70243bff8613f80b1c8711752990475","source":{"kind":"arxiv","id":"1404.3642","version":2},"attestation_state":"computed","paper":{"title":"Spurious divergences in Dyson-Schwinger equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Lorenz von Smekal, Markus Q. Huber","submitted_at":"2014-04-14T16:15:58Z","abstract_excerpt":"We revisit the treatment of spurious ultraviolet divergences in the equation of motion of the gluon propagator caused by a momentum cutoff and the resulting violation of gauge invariance. With present continuum studies of the gluon propagator from its Dyson-Schwinger equation reaching the level of quantitatively accurate descriptions, it becomes increasingly important to understand how to subtract these spurious divergences in an unambiguous way. Here we propose such a method. It is based entirely on the asymptotic perturbative behavior of the QCD Green's functions without affecting non-pertur"},"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":"1404.3642","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-04-14T16:15:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"30127a0349c352bc407ccc2d015536178d3c42eb571a7074b381ccebc97b1c70","abstract_canon_sha256":"86f3c8d29a546f12b518bb2190b751387d85970a9945e442788cae205974397a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:34.847665Z","signature_b64":"DQAZKrA9lCsj5Jli/ycrxEaPmOizQqotY1233dQS0PYRJ9R6qoV5TrAapTWXtOdUEuGSv372ZRNLhfKa39QkBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d89b14b139673c4d449ad84e2df0032fc70243bff8613f80b1c8711752990475","last_reissued_at":"2026-05-18T01:43:34.847033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:34.847033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spurious divergences in Dyson-Schwinger equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Lorenz von Smekal, Markus Q. Huber","submitted_at":"2014-04-14T16:15:58Z","abstract_excerpt":"We revisit the treatment of spurious ultraviolet divergences in the equation of motion of the gluon propagator caused by a momentum cutoff and the resulting violation of gauge invariance. With present continuum studies of the gluon propagator from its Dyson-Schwinger equation reaching the level of quantitatively accurate descriptions, it becomes increasingly important to understand how to subtract these spurious divergences in an unambiguous way. Here we propose such a method. It is based entirely on the asymptotic perturbative behavior of the QCD Green's functions without affecting non-pertur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3642","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":"1404.3642","created_at":"2026-05-18T01:43:34.847133+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.3642v2","created_at":"2026-05-18T01:43:34.847133+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3642","created_at":"2026-05-18T01:43:34.847133+00:00"},{"alias_kind":"pith_short_12","alias_value":"3CNRJMJZM46E","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3CNRJMJZM46E2RE2","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3CNRJMJZ","created_at":"2026-05-18T12:28:11.866339+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/3CNRJMJZM46E2RE23BHC34ADF7","json":"https://pith.science/pith/3CNRJMJZM46E2RE23BHC34ADF7.json","graph_json":"https://pith.science/api/pith-number/3CNRJMJZM46E2RE23BHC34ADF7/graph.json","events_json":"https://pith.science/api/pith-number/3CNRJMJZM46E2RE23BHC34ADF7/events.json","paper":"https://pith.science/paper/3CNRJMJZ"},"agent_actions":{"view_html":"https://pith.science/pith/3CNRJMJZM46E2RE23BHC34ADF7","download_json":"https://pith.science/pith/3CNRJMJZM46E2RE23BHC34ADF7.json","view_paper":"https://pith.science/paper/3CNRJMJZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.3642&json=true","fetch_graph":"https://pith.science/api/pith-number/3CNRJMJZM46E2RE23BHC34ADF7/graph.json","fetch_events":"https://pith.science/api/pith-number/3CNRJMJZM46E2RE23BHC34ADF7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3CNRJMJZM46E2RE23BHC34ADF7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3CNRJMJZM46E2RE23BHC34ADF7/action/storage_attestation","attest_author":"https://pith.science/pith/3CNRJMJZM46E2RE23BHC34ADF7/action/author_attestation","sign_citation":"https://pith.science/pith/3CNRJMJZM46E2RE23BHC34ADF7/action/citation_signature","submit_replication":"https://pith.science/pith/3CNRJMJZM46E2RE23BHC34ADF7/action/replication_record"}},"created_at":"2026-05-18T01:43:34.847133+00:00","updated_at":"2026-05-18T01:43:34.847133+00:00"}