{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:KHOYKHIIVAKQOKC47KHEVPJG7P","short_pith_number":"pith:KHOYKHII","canonical_record":{"source":{"id":"2207.10057","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-20T17:38:40Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"a0915df3c408e6bbe7b590d6b39c77fb62f6572d74b6ad14a0f05455a5a66061","abstract_canon_sha256":"30ebf29cc86acabd6c5d88bef931cb198cf0105e81d99016d6b6ab6d71cd1b24"},"schema_version":"1.0"},"canonical_sha256":"51dd851d08a81507285cfa8e4abd26fbdf6226f23702f0c00147e8db9b97a3b3","source":{"kind":"arxiv","id":"2207.10057","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.10057","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"arxiv_version","alias_value":"2207.10057v2","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.10057","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"pith_short_12","alias_value":"KHOYKHIIVAKQ","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"pith_short_16","alias_value":"KHOYKHIIVAKQOKC4","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"pith_short_8","alias_value":"KHOYKHII","created_at":"2026-07-05T06:45:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:KHOYKHIIVAKQOKC47KHEVPJG7P","target":"record","payload":{"canonical_record":{"source":{"id":"2207.10057","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-20T17:38:40Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"a0915df3c408e6bbe7b590d6b39c77fb62f6572d74b6ad14a0f05455a5a66061","abstract_canon_sha256":"30ebf29cc86acabd6c5d88bef931cb198cf0105e81d99016d6b6ab6d71cd1b24"},"schema_version":"1.0"},"canonical_sha256":"51dd851d08a81507285cfa8e4abd26fbdf6226f23702f0c00147e8db9b97a3b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:45:47.716718Z","signature_b64":"aHmM10ur6j3yRLfAsbwEvWdQP/uXg8dEnY8Q0+w8227PcKm9KeqLWc/SSWNB9iamJz0UOVreaqneI653Pn1iAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51dd851d08a81507285cfa8e4abd26fbdf6226f23702f0c00147e8db9b97a3b3","last_reissued_at":"2026-07-05T06:45:47.716230Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:45:47.716230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.10057","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":"2026-07-05T06:45:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XlY72n5xd3ew10m/L4I7D5qAZj1H8o7e9Coar05DyqZiwrWzLJ+XX5A3EvfGarRoanMpxPCAEVkJGIIApvysCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T18:24:48.152010Z"},"content_sha256":"ecd467a8e3a29e5a6958f01e7d8c8fef35a6feecef5df1041778baa1c62b0063","schema_version":"1.0","event_id":"sha256:ecd467a8e3a29e5a6958f01e7d8c8fef35a6feecef5df1041778baa1c62b0063"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:KHOYKHIIVAKQOKC47KHEVPJG7P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Functional flows for complex effective actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Friederike Ihssen, Jan M. Pawlowski","submitted_at":"2022-07-20T17:38:40Z","abstract_excerpt":"In the present work we set up a general functional renormalisation group framework for the computation of complex effective actions. For explicit computations we consider both flows of the Wilsonian effective action and the one-particle irreducible (1PI) effective action. The latter is based on an appropriate definition of a Legendre transform for complex actions, and we show its validity by comparison to exact results in zero dimensions, as well as a comparison to results for the Wilsonian effective action. In the present implementations of the general approaches, the flow of the Wilsonian ef"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.10057","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/2207.10057/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":"2026-07-05T06:45:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6JT/nI7AX1E8hpXDEdNB82WLGITcdnK5+yj9JZfWfBFTDF42DuqolnVHNmBLnCLTTVYVxgZxfjOqpZE0XjlZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T18:24:48.152533Z"},"content_sha256":"42f0ae73db9a06879e3e486c57e236f6293a82e3a1c047aaba5f5df0c5f846f7","schema_version":"1.0","event_id":"sha256:42f0ae73db9a06879e3e486c57e236f6293a82e3a1c047aaba5f5df0c5f846f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KHOYKHIIVAKQOKC47KHEVPJG7P/bundle.json","state_url":"https://pith.science/pith/KHOYKHIIVAKQOKC47KHEVPJG7P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KHOYKHIIVAKQOKC47KHEVPJG7P/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":"2026-08-15T18:24:48Z","links":{"resolver":"https://pith.science/pith/KHOYKHIIVAKQOKC47KHEVPJG7P","bundle":"https://pith.science/pith/KHOYKHIIVAKQOKC47KHEVPJG7P/bundle.json","state":"https://pith.science/pith/KHOYKHIIVAKQOKC47KHEVPJG7P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KHOYKHIIVAKQOKC47KHEVPJG7P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:KHOYKHIIVAKQOKC47KHEVPJG7P","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":"30ebf29cc86acabd6c5d88bef931cb198cf0105e81d99016d6b6ab6d71cd1b24","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-20T17:38:40Z","title_canon_sha256":"a0915df3c408e6bbe7b590d6b39c77fb62f6572d74b6ad14a0f05455a5a66061"},"schema_version":"1.0","source":{"id":"2207.10057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.10057","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"arxiv_version","alias_value":"2207.10057v2","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.10057","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"pith_short_12","alias_value":"KHOYKHIIVAKQ","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"pith_short_16","alias_value":"KHOYKHIIVAKQOKC4","created_at":"2026-07-05T06:45:47Z"},{"alias_kind":"pith_short_8","alias_value":"KHOYKHII","created_at":"2026-07-05T06:45:47Z"}],"graph_snapshots":[{"event_id":"sha256:42f0ae73db9a06879e3e486c57e236f6293a82e3a1c047aaba5f5df0c5f846f7","target":"graph","created_at":"2026-07-05T06:45:47Z","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/2207.10057/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the present work we set up a general functional renormalisation group framework for the computation of complex effective actions. For explicit computations we consider both flows of the Wilsonian effective action and the one-particle irreducible (1PI) effective action. The latter is based on an appropriate definition of a Legendre transform for complex actions, and we show its validity by comparison to exact results in zero dimensions, as well as a comparison to results for the Wilsonian effective action. In the present implementations of the general approaches, the flow of the Wilsonian ef","authors_text":"Friederike Ihssen, Jan M. Pawlowski","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-20T17:38:40Z","title":"Functional flows for complex effective actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.10057","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:ecd467a8e3a29e5a6958f01e7d8c8fef35a6feecef5df1041778baa1c62b0063","target":"record","created_at":"2026-07-05T06:45:47Z","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":"30ebf29cc86acabd6c5d88bef931cb198cf0105e81d99016d6b6ab6d71cd1b24","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-20T17:38:40Z","title_canon_sha256":"a0915df3c408e6bbe7b590d6b39c77fb62f6572d74b6ad14a0f05455a5a66061"},"schema_version":"1.0","source":{"id":"2207.10057","kind":"arxiv","version":2}},"canonical_sha256":"51dd851d08a81507285cfa8e4abd26fbdf6226f23702f0c00147e8db9b97a3b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51dd851d08a81507285cfa8e4abd26fbdf6226f23702f0c00147e8db9b97a3b3","first_computed_at":"2026-07-05T06:45:47.716230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:45:47.716230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aHmM10ur6j3yRLfAsbwEvWdQP/uXg8dEnY8Q0+w8227PcKm9KeqLWc/SSWNB9iamJz0UOVreaqneI653Pn1iAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:45:47.716718Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.10057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecd467a8e3a29e5a6958f01e7d8c8fef35a6feecef5df1041778baa1c62b0063","sha256:42f0ae73db9a06879e3e486c57e236f6293a82e3a1c047aaba5f5df0c5f846f7"],"state_sha256":"40d4ea63402a4898b20b58fd90812211aff7da734a9cb4a3ac6ba86a493cd36c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fhMyjd0Ahn0E+d1gnXE1eMFAOLE9gK31JQDLS/+JpRz1bjmBpyYqAqx5A4+0ddFYegHzMG8ACQfN1tZY/7sJDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T18:24:48.156523Z","bundle_sha256":"1a464f4b3ee338ea65ece1171a40187ed1f9f7c671597859f71a250bd2692635"}}