{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:QQAF2W6NUUE7J7YPQOTCG6UA5C","short_pith_number":"pith:QQAF2W6N","canonical_record":{"source":{"id":"2007.07942","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-15T18:39:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1116771c1e6fd881a6f562570de9f4baa3030ed70926c8db36cca4db2ec6c40d","abstract_canon_sha256":"96283f6e2f9f66b83336e61dcffa192db40e2a3bc0ad040fe47269480411e6c8"},"schema_version":"1.0"},"canonical_sha256":"84005d5bcda509f4ff0f83a6237a80e886c28d105e72bf3e4deca728b54483d6","source":{"kind":"arxiv","id":"2007.07942","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.07942","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"arxiv_version","alias_value":"2007.07942v2","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.07942","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"pith_short_12","alias_value":"QQAF2W6NUUE7","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"QQAF2W6NUUE7J7YP","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"QQAF2W6N","created_at":"2026-07-05T01:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:QQAF2W6NUUE7J7YPQOTCG6UA5C","target":"record","payload":{"canonical_record":{"source":{"id":"2007.07942","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-15T18:39:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1116771c1e6fd881a6f562570de9f4baa3030ed70926c8db36cca4db2ec6c40d","abstract_canon_sha256":"96283f6e2f9f66b83336e61dcffa192db40e2a3bc0ad040fe47269480411e6c8"},"schema_version":"1.0"},"canonical_sha256":"84005d5bcda509f4ff0f83a6237a80e886c28d105e72bf3e4deca728b54483d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:25:54.242919Z","signature_b64":"LYruoLiKHpV/uekLiH/pjnFMJayMnR+iNCSzmjUEc+zVL9exQD2N9xAZh6DXQdJocHN9SLGSS7Cgd66EThlDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84005d5bcda509f4ff0f83a6237a80e886c28d105e72bf3e4deca728b54483d6","last_reissued_at":"2026-07-05T01:25:54.242445Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:25:54.242445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2007.07942","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:25:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WBlNSifNGx5Z8rP2Cf7Za309mhx6TJbNkHaCJiBHIOa9jGI2EkKYFqnZkybCs1PPdqN7OgWsSPMP9VkhrUm2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T11:41:19.572878Z"},"content_sha256":"3f009cba71837ddf52cc51ac043e4bafb1361da359074e42acada9051bf2a875","schema_version":"1.0","event_id":"sha256:3f009cba71837ddf52cc51ac043e4bafb1361da359074e42acada9051bf2a875"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:QQAF2W6NUUE7J7YPQOTCG6UA5C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Homotopy Transfer and Effective Field Theory I: Tree-level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alex S. Arvanitakis, Chris Hull, Olaf Hohm, Victor Lekeu","submitted_at":"2020-07-15T18:39:11Z","abstract_excerpt":"We use the dictionary between general field theories and strongly homotopy algebras to provide an algebraic formulation of the procedure of integrating out of degrees of freedom in terms of homotopy transfer. This includes more general effective theories in which some massive modes are kept while other modes of a comparable mass scale are integrated out, as first explored by Sen in the context of closed string field theory. We treat $L_\\infty$-algebras both in terms of a nilpotent coderivation and, on the dual space, in terms of a nilpotent derivation (corresponding to the BRST charge of the f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.07942","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/2007.07942/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:25:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t7lQdQ8vfP6tGb2pQNKYEcgI+kzyBu7l46pPSeibkSiOO7FNmA8zxxQ59mmEaLGcaeJ5fX5bgPueRTITOc9aDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T11:41:19.573461Z"},"content_sha256":"323f502ee3c95cab146fbf3babb4cc459d402eacf9b0f98fbd5364c8aae7686a","schema_version":"1.0","event_id":"sha256:323f502ee3c95cab146fbf3babb4cc459d402eacf9b0f98fbd5364c8aae7686a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQAF2W6NUUE7J7YPQOTCG6UA5C/bundle.json","state_url":"https://pith.science/pith/QQAF2W6NUUE7J7YPQOTCG6UA5C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQAF2W6NUUE7J7YPQOTCG6UA5C/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T11:41:19Z","links":{"resolver":"https://pith.science/pith/QQAF2W6NUUE7J7YPQOTCG6UA5C","bundle":"https://pith.science/pith/QQAF2W6NUUE7J7YPQOTCG6UA5C/bundle.json","state":"https://pith.science/pith/QQAF2W6NUUE7J7YPQOTCG6UA5C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQAF2W6NUUE7J7YPQOTCG6UA5C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:QQAF2W6NUUE7J7YPQOTCG6UA5C","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":"96283f6e2f9f66b83336e61dcffa192db40e2a3bc0ad040fe47269480411e6c8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-15T18:39:11Z","title_canon_sha256":"1116771c1e6fd881a6f562570de9f4baa3030ed70926c8db36cca4db2ec6c40d"},"schema_version":"1.0","source":{"id":"2007.07942","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.07942","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"arxiv_version","alias_value":"2007.07942v2","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.07942","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"pith_short_12","alias_value":"QQAF2W6NUUE7","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"QQAF2W6NUUE7J7YP","created_at":"2026-07-05T01:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"QQAF2W6N","created_at":"2026-07-05T01:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:323f502ee3c95cab146fbf3babb4cc459d402eacf9b0f98fbd5364c8aae7686a","target":"graph","created_at":"2026-07-05T01:25:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2007.07942/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use the dictionary between general field theories and strongly homotopy algebras to provide an algebraic formulation of the procedure of integrating out of degrees of freedom in terms of homotopy transfer. This includes more general effective theories in which some massive modes are kept while other modes of a comparable mass scale are integrated out, as first explored by Sen in the context of closed string field theory. We treat $L_\\infty$-algebras both in terms of a nilpotent coderivation and, on the dual space, in terms of a nilpotent derivation (corresponding to the BRST charge of the f","authors_text":"Alex S. Arvanitakis, Chris Hull, Olaf Hohm, Victor Lekeu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-15T18:39:11Z","title":"Homotopy Transfer and Effective Field Theory I: Tree-level"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.07942","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":"sha256:3f009cba71837ddf52cc51ac043e4bafb1361da359074e42acada9051bf2a875","target":"record","created_at":"2026-07-05T01:25:54Z","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":"96283f6e2f9f66b83336e61dcffa192db40e2a3bc0ad040fe47269480411e6c8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-15T18:39:11Z","title_canon_sha256":"1116771c1e6fd881a6f562570de9f4baa3030ed70926c8db36cca4db2ec6c40d"},"schema_version":"1.0","source":{"id":"2007.07942","kind":"arxiv","version":2}},"canonical_sha256":"84005d5bcda509f4ff0f83a6237a80e886c28d105e72bf3e4deca728b54483d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84005d5bcda509f4ff0f83a6237a80e886c28d105e72bf3e4deca728b54483d6","first_computed_at":"2026-07-05T01:25:54.242445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:25:54.242445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LYruoLiKHpV/uekLiH/pjnFMJayMnR+iNCSzmjUEc+zVL9exQD2N9xAZh6DXQdJocHN9SLGSS7Cgd66EThlDBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:25:54.242919Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.07942","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f009cba71837ddf52cc51ac043e4bafb1361da359074e42acada9051bf2a875","sha256:323f502ee3c95cab146fbf3babb4cc459d402eacf9b0f98fbd5364c8aae7686a"],"state_sha256":"4af46af1f6d961badadb2013a4946171f0496a19d7392ff3cbeb8df79a245fa4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eUCQB4UN70vf5TFlDHKk5BZ/sS/T9AbNi35Cy8JsXLhaM2IYEfW+K/+y6MDBlRSc6RL7Dm4+cqjj3GDihHeRAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T11:41:19.579554Z","bundle_sha256":"e3960f938e815fd221b5b1f47682259b8d9eb91f94d27b585020abf75eee8f88"}}