{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QGZGIMKZONDMNGMJBOL7RDM2VN","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":"5e6fd9b82c20fef87f229bc9c75a72a5127b6dbaa3ed8b4430a8cfb00860bc08","cross_cats_sorted":["math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-29T14:30:27Z","title_canon_sha256":"19d200db1bf62e994b9f26f7dc2fe84cad0701d4b01dcbe386a639acf010cf31"},"schema_version":"1.0","source":{"id":"1612.09157","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09157","created_at":"2026-05-17T23:41:56Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09157v4","created_at":"2026-05-17T23:41:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09157","created_at":"2026-05-17T23:41:56Z"},{"alias_kind":"pith_short_12","alias_value":"QGZGIMKZONDM","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QGZGIMKZONDMNGMJ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QGZGIMKZ","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:bde601eea82152239296184145b619d952d90531bbe7d7f8bf9c12bd4dc245b0","target":"graph","created_at":"2026-05-17T23:41:56Z","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 propose a new formula for the star product in deformation quantization of Poisson structures related in a specific way to a variational problem for a function $S$, interpreted as the action functional. Our approach is motivated by perturbative Algebraic Quantum Field Theory (pAQFT). We provide a direct combinatorial formula for the star product and we show that it can be applied to a certain class of infinite dimensional manifolds (e.g., regular observables in pAQFT). This is the first step towards understanding how pAQFT can be formulated such that the only formal parameter is $\\hbar$, whi","authors_text":"Eli Hawkins, Kasia Rejzner","cross_cats":["math.MP","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-29T14:30:27Z","title":"The Star Product in Interacting Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09157","kind":"arxiv","version":4},"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:ad77c268d03b210d62a6a1bebdaf201dba455b1178b1c877552c134a25dc5c84","target":"record","created_at":"2026-05-17T23:41:56Z","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":"5e6fd9b82c20fef87f229bc9c75a72a5127b6dbaa3ed8b4430a8cfb00860bc08","cross_cats_sorted":["math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-29T14:30:27Z","title_canon_sha256":"19d200db1bf62e994b9f26f7dc2fe84cad0701d4b01dcbe386a639acf010cf31"},"schema_version":"1.0","source":{"id":"1612.09157","kind":"arxiv","version":4}},"canonical_sha256":"81b26431597346c699890b97f88d9aab72364bd6017b1a706bd21adf6fd7c0c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81b26431597346c699890b97f88d9aab72364bd6017b1a706bd21adf6fd7c0c4","first_computed_at":"2026-05-17T23:41:56.783956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:56.783956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lv/yv0zmAmCDTgMOQk8bqJjY+DCNQWZ2s8+r0SS5ShYLs4rXjhaPsZVqkjotQkxh87iO45jLLDtQMQc4hDrFBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:56.784753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.09157","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad77c268d03b210d62a6a1bebdaf201dba455b1178b1c877552c134a25dc5c84","sha256:bde601eea82152239296184145b619d952d90531bbe7d7f8bf9c12bd4dc245b0"],"state_sha256":"9cd95760518f2e0dcd6da4b805f06aea76ae723632526e6a6871378a98e8ba7f"}