{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WWR6IPHISUCQ6WKZWEUPW5RUJH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"863fc927fa56a4a08a5287ea7cd3ab3c432b4b10251f0a4794a280f9fff05999","cross_cats_sorted":["math.CO","math.CV","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-11-02T18:47:18Z","title_canon_sha256":"69c8ee202bef3a8cb35ac60503364bfccbe5a2b68f4a49a35f61996b6673eb0b"},"schema_version":"1.0","source":{"id":"1711.00884","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.00884","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"arxiv_version","alias_value":"1711.00884v2","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00884","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"pith_short_12","alias_value":"WWR6IPHISUCQ","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WWR6IPHISUCQ6WKZ","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WWR6IPHI","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:a2fcffd43699d90fa04dc00ea59861247d55032a7247d5f10b7bdfdb20923070","target":"graph","created_at":"2026-05-18T00:29:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Bin Zhang, Li Guo, Pierre Clavier, Sylvie Paycha","cross_cats":["math.CO","math.CV","math.MP","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-11-02T18:47:18Z","title":"An algebraic formulation of the locality principle in renormalisation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00884","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:565c65c0a5403ab2f374cb52d09f62aeb8e2b6dab17b06f648e18a9cc499a4a4","target":"record","created_at":"2026-05-18T00:29:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"863fc927fa56a4a08a5287ea7cd3ab3c432b4b10251f0a4794a280f9fff05999","cross_cats_sorted":["math.CO","math.CV","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-11-02T18:47:18Z","title_canon_sha256":"69c8ee202bef3a8cb35ac60503364bfccbe5a2b68f4a49a35f61996b6673eb0b"},"schema_version":"1.0","source":{"id":"1711.00884","kind":"arxiv","version":2}},"canonical_sha256":"b5a3e43ce895050f5959b128fb763449cd5696f69801c5d87e936e35f02a42f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5a3e43ce895050f5959b128fb763449cd5696f69801c5d87e936e35f02a42f8","first_computed_at":"2026-05-18T00:29:36.502212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:36.502212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CPensVeBva5hjHTMtNuS1zZm0X8cMkPcMXrMqFOgtmTFV8h3HOaAaw0MEPH9B4DaVX410zZ94VfV1Z9eAC/cDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:36.502897Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.00884","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:565c65c0a5403ab2f374cb52d09f62aeb8e2b6dab17b06f648e18a9cc499a4a4","sha256:a2fcffd43699d90fa04dc00ea59861247d55032a7247d5f10b7bdfdb20923070"],"state_sha256":"853fb7428f900dbf162c87d82bd3b72a103580edc67173f5643ed9573265e6cd"}