{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:ETPTZWQ4TXCDTRXFSRJYVYRSWP","short_pith_number":"pith:ETPTZWQ4","schema_version":"1.0","canonical_sha256":"24df3cda1c9dc439c6e594538ae232b3d6ef17ebffa2ae48a6e3418f199b0386","source":{"kind":"arxiv","id":"2002.11168","version":2},"attestation_state":"computed","paper":{"title":"Perturbative Quantum Field Theory and Homotopy Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Branislav Jurco, Christian Saemann, Hyungrok Kim, Martin Wolf, Tommaso Macrelli","submitted_at":"2020-02-25T20:47:56Z","abstract_excerpt":"We review the homotopy algebraic perspective on perturbative quantum field theory: classical field theories correspond to homotopy algebras such as $A_\\infty$- and $L_\\infty$-algebras. Furthermore, their scattering amplitudes are encoded in minimal models of these homotopy algebras at tree level and their quantum relatives at loop level. The translation between Lagrangian field theories and homotopy algebras is provided by the Batalin--Vilkovisky formalism. The minimal models are computed recursively using the homological perturbation lemma, which induces useful recursion relations for the com"},"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":"2002.11168","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-25T20:47:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"427cbac06f32d419eeb2f9233aafc998f80af7d64d493e6060969c9e836b1f93","abstract_canon_sha256":"f3517ba6405b100046baf29e05930d8dfbe0a06ba80b44c3b831873fa6ace317"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:28:49.951414Z","signature_b64":"keJlcxO+lnvV9wcUXlvtlOMbdnuVCmb8RWDvbvsuZ3nXhLJZgfWz/q6vPse78VvHKqKsBw2M1K168jRX17iqBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24df3cda1c9dc439c6e594538ae232b3d6ef17ebffa2ae48a6e3418f199b0386","last_reissued_at":"2026-07-05T01:28:49.950932Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:28:49.950932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perturbative Quantum Field Theory and Homotopy Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Branislav Jurco, Christian Saemann, Hyungrok Kim, Martin Wolf, Tommaso Macrelli","submitted_at":"2020-02-25T20:47:56Z","abstract_excerpt":"We review the homotopy algebraic perspective on perturbative quantum field theory: classical field theories correspond to homotopy algebras such as $A_\\infty$- and $L_\\infty$-algebras. Furthermore, their scattering amplitudes are encoded in minimal models of these homotopy algebras at tree level and their quantum relatives at loop level. The translation between Lagrangian field theories and homotopy algebras is provided by the Batalin--Vilkovisky formalism. The minimal models are computed recursively using the homological perturbation lemma, which induces useful recursion relations for the com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.11168","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2002.11168/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2002.11168","created_at":"2026-07-05T01:28:49.951013+00:00"},{"alias_kind":"arxiv_version","alias_value":"2002.11168v2","created_at":"2026-07-05T01:28:49.951013+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.11168","created_at":"2026-07-05T01:28:49.951013+00:00"},{"alias_kind":"pith_short_12","alias_value":"ETPTZWQ4TXCD","created_at":"2026-07-05T01:28:49.951013+00:00"},{"alias_kind":"pith_short_16","alias_value":"ETPTZWQ4TXCDTRXF","created_at":"2026-07-05T01:28:49.951013+00:00"},{"alias_kind":"pith_short_8","alias_value":"ETPTZWQ4","created_at":"2026-07-05T01:28:49.951013+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/ETPTZWQ4TXCDTRXFSRJYVYRSWP","json":"https://pith.science/pith/ETPTZWQ4TXCDTRXFSRJYVYRSWP.json","graph_json":"https://pith.science/api/pith-number/ETPTZWQ4TXCDTRXFSRJYVYRSWP/graph.json","events_json":"https://pith.science/api/pith-number/ETPTZWQ4TXCDTRXFSRJYVYRSWP/events.json","paper":"https://pith.science/paper/ETPTZWQ4"},"agent_actions":{"view_html":"https://pith.science/pith/ETPTZWQ4TXCDTRXFSRJYVYRSWP","download_json":"https://pith.science/pith/ETPTZWQ4TXCDTRXFSRJYVYRSWP.json","view_paper":"https://pith.science/paper/ETPTZWQ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2002.11168&json=true","fetch_graph":"https://pith.science/api/pith-number/ETPTZWQ4TXCDTRXFSRJYVYRSWP/graph.json","fetch_events":"https://pith.science/api/pith-number/ETPTZWQ4TXCDTRXFSRJYVYRSWP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ETPTZWQ4TXCDTRXFSRJYVYRSWP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ETPTZWQ4TXCDTRXFSRJYVYRSWP/action/storage_attestation","attest_author":"https://pith.science/pith/ETPTZWQ4TXCDTRXFSRJYVYRSWP/action/author_attestation","sign_citation":"https://pith.science/pith/ETPTZWQ4TXCDTRXFSRJYVYRSWP/action/citation_signature","submit_replication":"https://pith.science/pith/ETPTZWQ4TXCDTRXFSRJYVYRSWP/action/replication_record"}},"created_at":"2026-07-05T01:28:49.951013+00:00","updated_at":"2026-07-05T01:28:49.951013+00:00"}