{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:T6UVNAPWKJJAG4UMHK7KBY6AWE","short_pith_number":"pith:T6UVNAPW","canonical_record":{"source":{"id":"2203.05366","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-10T13:36:43Z","cross_cats_sorted":[],"title_canon_sha256":"c2d46cf6a55e0a7b5c965f0bd003544b896e0ee6ba746604def1b9ef4ffd4c69","abstract_canon_sha256":"513f872db643f4765868a419d7ebd86be3cb37ceb1ac87d8ebadd9d17404dc78"},"schema_version":"1.0"},"canonical_sha256":"9fa95681f6525203728c3abea0e3c0b11054c54eed5e7392638a1b0bec9cc6cb","source":{"kind":"arxiv","id":"2203.05366","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.05366","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"2203.05366v3","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.05366","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"T6UVNAPWKJJA","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"pith_short_16","alias_value":"T6UVNAPWKJJAG4UM","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"pith_short_8","alias_value":"T6UVNAPW","created_at":"2026-07-05T10:10:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:T6UVNAPWKJJAG4UMHK7KBY6AWE","target":"record","payload":{"canonical_record":{"source":{"id":"2203.05366","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-10T13:36:43Z","cross_cats_sorted":[],"title_canon_sha256":"c2d46cf6a55e0a7b5c965f0bd003544b896e0ee6ba746604def1b9ef4ffd4c69","abstract_canon_sha256":"513f872db643f4765868a419d7ebd86be3cb37ceb1ac87d8ebadd9d17404dc78"},"schema_version":"1.0"},"canonical_sha256":"9fa95681f6525203728c3abea0e3c0b11054c54eed5e7392638a1b0bec9cc6cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:10:37.439076Z","signature_b64":"Vnd69Lw3xgXb71iDrb8BkqCkH5TZzAM1yE4uA3WQWc6mcrDX+iIoc3w1F/d0hPsoXr5xp0JPUblFAaummZh/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fa95681f6525203728c3abea0e3c0b11054c54eed5e7392638a1b0bec9cc6cb","last_reissued_at":"2026-07-05T10:10:37.438671Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:10:37.438671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.05366","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:10:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SoShtXdGKgxuBfnHjLLhruG1/wJIqGWmpqD6r9Jdk/Ie5xpLP48iNj/P09Z3gLF2GWHq+OLt0w2kABr0cXz0Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T04:27:56.974715Z"},"content_sha256":"04e8882a39a68f2937bf7fd8f74dc5d1359aa2f649d24bbc281bdb1b23dd0ff0","schema_version":"1.0","event_id":"sha256:04e8882a39a68f2937bf7fd8f74dc5d1359aa2f649d24bbc281bdb1b23dd0ff0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:T6UVNAPWKJJAG4UMHK7KBY6AWE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlation functions of scalar field theories from homotopy algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yuji Okawa","submitted_at":"2022-03-10T13:36:43Z","abstract_excerpt":"We present expressions for correlation functions of scalar field theories in perturbation theory using quantum $A_\\infty$ algebras. Our expressions are highly explicit and can be used for theories both in Euclidean space and in Minkowski space including quantum mechanics. Correlation functions at a given order of perturbation theory can be calculated algebraically without using canonical quantization or the path integral, and we demonstrate it explicitly for $\\varphi^3$ theory. We show that the Schwinger-Dyson equations are satisfied as an immediate consequence of the form of the expressions b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.05366","kind":"arxiv","version":3},"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/2203.05366/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":"2026-07-05T10:10:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Ne7rqmK/dsitM65GqDLsKxO6K6U3fvqVOYLRBcQ3Sy/cpiNriV55SG6MTgcO4Gw/trEqLHKMHU23g5j5JvCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T04:27:56.975283Z"},"content_sha256":"64ea6ab9624edb6443bd96a9156589ccd4939742dbcb255fbc158981929e0534","schema_version":"1.0","event_id":"sha256:64ea6ab9624edb6443bd96a9156589ccd4939742dbcb255fbc158981929e0534"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T6UVNAPWKJJAG4UMHK7KBY6AWE/bundle.json","state_url":"https://pith.science/pith/T6UVNAPWKJJAG4UMHK7KBY6AWE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T6UVNAPWKJJAG4UMHK7KBY6AWE/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":"2026-08-23T04:27:56Z","links":{"resolver":"https://pith.science/pith/T6UVNAPWKJJAG4UMHK7KBY6AWE","bundle":"https://pith.science/pith/T6UVNAPWKJJAG4UMHK7KBY6AWE/bundle.json","state":"https://pith.science/pith/T6UVNAPWKJJAG4UMHK7KBY6AWE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T6UVNAPWKJJAG4UMHK7KBY6AWE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:T6UVNAPWKJJAG4UMHK7KBY6AWE","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":"513f872db643f4765868a419d7ebd86be3cb37ceb1ac87d8ebadd9d17404dc78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-10T13:36:43Z","title_canon_sha256":"c2d46cf6a55e0a7b5c965f0bd003544b896e0ee6ba746604def1b9ef4ffd4c69"},"schema_version":"1.0","source":{"id":"2203.05366","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.05366","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"2203.05366v3","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.05366","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"T6UVNAPWKJJA","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"pith_short_16","alias_value":"T6UVNAPWKJJAG4UM","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"pith_short_8","alias_value":"T6UVNAPW","created_at":"2026-07-05T10:10:37Z"}],"graph_snapshots":[{"event_id":"sha256:64ea6ab9624edb6443bd96a9156589ccd4939742dbcb255fbc158981929e0534","target":"graph","created_at":"2026-07-05T10:10:37Z","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/2203.05366/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present expressions for correlation functions of scalar field theories in perturbation theory using quantum $A_\\infty$ algebras. Our expressions are highly explicit and can be used for theories both in Euclidean space and in Minkowski space including quantum mechanics. Correlation functions at a given order of perturbation theory can be calculated algebraically without using canonical quantization or the path integral, and we demonstrate it explicitly for $\\varphi^3$ theory. We show that the Schwinger-Dyson equations are satisfied as an immediate consequence of the form of the expressions b","authors_text":"Yuji Okawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-10T13:36:43Z","title":"Correlation functions of scalar field theories from homotopy algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.05366","kind":"arxiv","version":3},"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":"sha256:04e8882a39a68f2937bf7fd8f74dc5d1359aa2f649d24bbc281bdb1b23dd0ff0","target":"record","created_at":"2026-07-05T10:10:37Z","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":"513f872db643f4765868a419d7ebd86be3cb37ceb1ac87d8ebadd9d17404dc78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-10T13:36:43Z","title_canon_sha256":"c2d46cf6a55e0a7b5c965f0bd003544b896e0ee6ba746604def1b9ef4ffd4c69"},"schema_version":"1.0","source":{"id":"2203.05366","kind":"arxiv","version":3}},"canonical_sha256":"9fa95681f6525203728c3abea0e3c0b11054c54eed5e7392638a1b0bec9cc6cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fa95681f6525203728c3abea0e3c0b11054c54eed5e7392638a1b0bec9cc6cb","first_computed_at":"2026-07-05T10:10:37.438671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:10:37.438671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vnd69Lw3xgXb71iDrb8BkqCkH5TZzAM1yE4uA3WQWc6mcrDX+iIoc3w1F/d0hPsoXr5xp0JPUblFAaummZh/DA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:10:37.439076Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.05366","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04e8882a39a68f2937bf7fd8f74dc5d1359aa2f649d24bbc281bdb1b23dd0ff0","sha256:64ea6ab9624edb6443bd96a9156589ccd4939742dbcb255fbc158981929e0534"],"state_sha256":"8d1307622da6f70f47057246450531dda897816473ee6514cb63add7b907ef01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pu34doUZ1JlToiAWGeWzgoIuG9hrOMm85edkSeydHL2OjUk93LXhv3gZyry0dn+9tO3c5rLYGh6KaRKzeLi1Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T04:27:56.978769Z","bundle_sha256":"9a006542bc4b562fc95001de07b2a62e640f104f5776371132486ea2d5e48ee6"}}