{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WWR6IPHISUCQ6WKZWEUPW5RUJH","short_pith_number":"pith:WWR6IPHI","schema_version":"1.0","canonical_sha256":"b5a3e43ce895050f5959b128fb763449cd5696f69801c5d87e936e35f02a42f8","source":{"kind":"arxiv","id":"1711.00884","version":2},"attestation_state":"computed","paper":{"title":"An algebraic formulation of the locality principle in renormalisation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.CV","math.MP","math.RA"],"primary_cat":"math-ph","authors_text":"Bin Zhang, Li Guo, Pierre Clavier, Sylvie Paycha","submitted_at":"2017-11-02T18:47:18Z","abstract_excerpt":"We study the mathematical structure underlying the concept of locality which lies at the heart of classical and quantum field theory, and develop a machinery used to preserve locality during the renormalisation procedure. Viewing renormalisation in the framework of Connes and Kreimer as the algebraic Birkhoff factorisation of characters on a Hopf algebra with values in a Rota-Baxter algebra, we build locality variants of these algebraic structures, leading to a locality variant of the algebraic Birkhoff factorisation. This provides an algebraic formulation of the conservation of locality while"},"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":"1711.00884","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-11-02T18:47:18Z","cross_cats_sorted":["math.CO","math.CV","math.MP","math.RA"],"title_canon_sha256":"69c8ee202bef3a8cb35ac60503364bfccbe5a2b68f4a49a35f61996b6673eb0b","abstract_canon_sha256":"863fc927fa56a4a08a5287ea7cd3ab3c432b4b10251f0a4794a280f9fff05999"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:36.502897Z","signature_b64":"CPensVeBva5hjHTMtNuS1zZm0X8cMkPcMXrMqFOgtmTFV8h3HOaAaw0MEPH9B4DaVX410zZ94VfV1Z9eAC/cDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5a3e43ce895050f5959b128fb763449cd5696f69801c5d87e936e35f02a42f8","last_reissued_at":"2026-05-18T00:29:36.502212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:36.502212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An algebraic formulation of the locality principle in renormalisation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.CV","math.MP","math.RA"],"primary_cat":"math-ph","authors_text":"Bin Zhang, Li Guo, Pierre Clavier, Sylvie Paycha","submitted_at":"2017-11-02T18:47:18Z","abstract_excerpt":"We study the mathematical structure underlying the concept of locality which lies at the heart of classical and quantum field theory, and develop a machinery used to preserve locality during the renormalisation procedure. Viewing renormalisation in the framework of Connes and Kreimer as the algebraic Birkhoff factorisation of characters on a Hopf algebra with values in a Rota-Baxter algebra, we build locality variants of these algebraic structures, leading to a locality variant of the algebraic Birkhoff factorisation. This provides an algebraic formulation of the conservation of locality while"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00884","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":"1711.00884","created_at":"2026-05-18T00:29:36.502348+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.00884v2","created_at":"2026-05-18T00:29:36.502348+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00884","created_at":"2026-05-18T00:29:36.502348+00:00"},{"alias_kind":"pith_short_12","alias_value":"WWR6IPHISUCQ","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WWR6IPHISUCQ6WKZ","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WWR6IPHI","created_at":"2026-05-18T12:31:53.515858+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/WWR6IPHISUCQ6WKZWEUPW5RUJH","json":"https://pith.science/pith/WWR6IPHISUCQ6WKZWEUPW5RUJH.json","graph_json":"https://pith.science/api/pith-number/WWR6IPHISUCQ6WKZWEUPW5RUJH/graph.json","events_json":"https://pith.science/api/pith-number/WWR6IPHISUCQ6WKZWEUPW5RUJH/events.json","paper":"https://pith.science/paper/WWR6IPHI"},"agent_actions":{"view_html":"https://pith.science/pith/WWR6IPHISUCQ6WKZWEUPW5RUJH","download_json":"https://pith.science/pith/WWR6IPHISUCQ6WKZWEUPW5RUJH.json","view_paper":"https://pith.science/paper/WWR6IPHI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.00884&json=true","fetch_graph":"https://pith.science/api/pith-number/WWR6IPHISUCQ6WKZWEUPW5RUJH/graph.json","fetch_events":"https://pith.science/api/pith-number/WWR6IPHISUCQ6WKZWEUPW5RUJH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WWR6IPHISUCQ6WKZWEUPW5RUJH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WWR6IPHISUCQ6WKZWEUPW5RUJH/action/storage_attestation","attest_author":"https://pith.science/pith/WWR6IPHISUCQ6WKZWEUPW5RUJH/action/author_attestation","sign_citation":"https://pith.science/pith/WWR6IPHISUCQ6WKZWEUPW5RUJH/action/citation_signature","submit_replication":"https://pith.science/pith/WWR6IPHISUCQ6WKZWEUPW5RUJH/action/replication_record"}},"created_at":"2026-05-18T00:29:36.502348+00:00","updated_at":"2026-05-18T00:29:36.502348+00:00"}