{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:G6FBP47HZB2CC4IPE3CCLZEKV2","short_pith_number":"pith:G6FBP47H","schema_version":"1.0","canonical_sha256":"378a17f3e7c87421710f26c425e48aaeabe01f2476b5d314a81564ff2bf608cd","source":{"kind":"arxiv","id":"1307.6854","version":1},"attestation_state":"computed","paper":{"title":"Renormalization of Massless Feynman Amplitudes in Configuration Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ivan Todorov, Nikolay M. Nikolov, Raymond Stora","submitted_at":"2013-07-25T19:57:22Z","abstract_excerpt":"A systematic study of recursive renormalization of Feynman amplitudes is carried out both in Euclidean and in Minkowski configuration space. For a massless quantum field theory (QFT) we use the technique of extending associate homogeneous distributions to complete the renormalization recursion. A homogeneous (Poincare covariant) amplitude is said to be convergent if it admits a (unique covariant) extension as a homogeneous distribution. For any amplitude without subdivergences - i.e. for a Feynman distribution that is homogeneous off the full (small) diagonal - we define a renormalization inva"},"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":"1307.6854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-25T19:57:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1e5e0ab5fca0f7582b5e59c7c6314d43fb8ed7fa0530293cb0919404685c61a0","abstract_canon_sha256":"f2bf62323ba1e0d175f1c83cd7c7309918673986fc47f7c66c442592cab906f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:34.472508Z","signature_b64":"n+d6ePcTdTbnc0aHfauzxwaupuWNBSq4/MJgaubymyIDxlP0mSZrgVEMZ8Vf4QxHQJiZUCDOnRMmFer09HnEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"378a17f3e7c87421710f26c425e48aaeabe01f2476b5d314a81564ff2bf608cd","last_reissued_at":"2026-05-18T01:48:34.472029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:34.472029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization of Massless Feynman Amplitudes in Configuration Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ivan Todorov, Nikolay M. Nikolov, Raymond Stora","submitted_at":"2013-07-25T19:57:22Z","abstract_excerpt":"A systematic study of recursive renormalization of Feynman amplitudes is carried out both in Euclidean and in Minkowski configuration space. For a massless quantum field theory (QFT) we use the technique of extending associate homogeneous distributions to complete the renormalization recursion. A homogeneous (Poincare covariant) amplitude is said to be convergent if it admits a (unique covariant) extension as a homogeneous distribution. For any amplitude without subdivergences - i.e. for a Feynman distribution that is homogeneous off the full (small) diagonal - we define a renormalization inva"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6854","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":"1307.6854","created_at":"2026-05-18T01:48:34.472097+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.6854v1","created_at":"2026-05-18T01:48:34.472097+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6854","created_at":"2026-05-18T01:48:34.472097+00:00"},{"alias_kind":"pith_short_12","alias_value":"G6FBP47HZB2C","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"G6FBP47HZB2CC4IP","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"G6FBP47H","created_at":"2026-05-18T12:27:45.050594+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/G6FBP47HZB2CC4IPE3CCLZEKV2","json":"https://pith.science/pith/G6FBP47HZB2CC4IPE3CCLZEKV2.json","graph_json":"https://pith.science/api/pith-number/G6FBP47HZB2CC4IPE3CCLZEKV2/graph.json","events_json":"https://pith.science/api/pith-number/G6FBP47HZB2CC4IPE3CCLZEKV2/events.json","paper":"https://pith.science/paper/G6FBP47H"},"agent_actions":{"view_html":"https://pith.science/pith/G6FBP47HZB2CC4IPE3CCLZEKV2","download_json":"https://pith.science/pith/G6FBP47HZB2CC4IPE3CCLZEKV2.json","view_paper":"https://pith.science/paper/G6FBP47H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.6854&json=true","fetch_graph":"https://pith.science/api/pith-number/G6FBP47HZB2CC4IPE3CCLZEKV2/graph.json","fetch_events":"https://pith.science/api/pith-number/G6FBP47HZB2CC4IPE3CCLZEKV2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G6FBP47HZB2CC4IPE3CCLZEKV2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G6FBP47HZB2CC4IPE3CCLZEKV2/action/storage_attestation","attest_author":"https://pith.science/pith/G6FBP47HZB2CC4IPE3CCLZEKV2/action/author_attestation","sign_citation":"https://pith.science/pith/G6FBP47HZB2CC4IPE3CCLZEKV2/action/citation_signature","submit_replication":"https://pith.science/pith/G6FBP47HZB2CC4IPE3CCLZEKV2/action/replication_record"}},"created_at":"2026-05-18T01:48:34.472097+00:00","updated_at":"2026-05-18T01:48:34.472097+00:00"}