{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:IMMASSFYTDBUYRYKN72574U2PD","short_pith_number":"pith:IMMASSFY","canonical_record":{"source":{"id":"hep-th/0309242","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-09-26T17:43:23Z","cross_cats_sorted":[],"title_canon_sha256":"1b55d4e2b3a6e0e67086f0ace0cc3452b80a5bde1d4dd2a85bf734fe8a2069a1","abstract_canon_sha256":"01bd4735694b7fcdab6da8a0b88b0fd448a0aefbcd844d01b9a1d6b3dfd89898"},"schema_version":"1.0"},"canonical_sha256":"43180948b898c34c470a6ff5dff29a78c534660b6eddc6d7bb2638151d593cb0","source":{"kind":"arxiv","id":"hep-th/0309242","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0309242","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0309242v2","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0309242","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"pith_short_12","alias_value":"IMMASSFYTDBU","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"pith_short_16","alias_value":"IMMASSFYTDBUYRYK","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"pith_short_8","alias_value":"IMMASSFY","created_at":"2026-07-04T16:41:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:IMMASSFYTDBUYRYKN72574U2PD","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0309242","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-09-26T17:43:23Z","cross_cats_sorted":[],"title_canon_sha256":"1b55d4e2b3a6e0e67086f0ace0cc3452b80a5bde1d4dd2a85bf734fe8a2069a1","abstract_canon_sha256":"01bd4735694b7fcdab6da8a0b88b0fd448a0aefbcd844d01b9a1d6b3dfd89898"},"schema_version":"1.0"},"canonical_sha256":"43180948b898c34c470a6ff5dff29a78c534660b6eddc6d7bb2638151d593cb0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:24.205792Z","signature_b64":"P+toQ2iBdM/+v6LGp936R/Qxn73kghgqVmrnoozQxXzrY9VzYQSfSp1OybAeTsmM8xuCgz6632A3qOVr+DkiDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43180948b898c34c470a6ff5dff29a78c534660b6eddc6d7bb2638151d593cb0","last_reissued_at":"2026-07-04T16:41:24.205393Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:24.205393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0309242","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":"2026-07-04T16:41:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/bHjxmagRMbeVYOyvsjaJxxj3ypk30VRfuyRJdK7GgVngMuwHWYbM4g1UC7Ko4DFq47rYh06SNRr2DWo4iUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:05:11.707109Z"},"content_sha256":"9602a1386f1fc694aa6a387f9cc27c22ef31e1f47c41de88aa81d26b2c6f11ab","schema_version":"1.0","event_id":"sha256:9602a1386f1fc694aa6a387f9cc27c22ef31e1f47c41de88aa81d26b2c6f11ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:IMMASSFYTDBUYRYKN72574U2PD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact scheme independence at two loops","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Antonio Gatti, Oliver J. Rosten, Stefano Arnone, Tim R. Morris","submitted_at":"2003-09-26T17:43:23Z","abstract_excerpt":"We further develop an algorithmic and diagrammatic computational framework for very general exact renormalization groups, where the embedded regularisation scheme, parametrised by a general cutoff function and infinitely many higher point vertices, is left unspecified. Calculations proceed iteratively,by integrating by parts with respect to the effective cutoff, thus introducing effective propagators, and differentials of vertices that can be expanded using the flow equations; many cancellations occur on using the fact that the effective propagator is the inverse of the classical Wilsonian two"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0309242","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/hep-th/0309242/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":"2026-07-04T16:41:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Se+XR4TwMCzFaOlLIXESbKjFdLOUGZw6y130U1fnc5ag3a5cHZnlqZQV4OYtDD5BDPktT3Paywhj8X9kUyICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:05:11.707680Z"},"content_sha256":"4c8bc61a87d53e8a2c28601de3fea150cc95ec1dbbd187619f2bb0b1efdb9a59","schema_version":"1.0","event_id":"sha256:4c8bc61a87d53e8a2c28601de3fea150cc95ec1dbbd187619f2bb0b1efdb9a59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IMMASSFYTDBUYRYKN72574U2PD/bundle.json","state_url":"https://pith.science/pith/IMMASSFYTDBUYRYKN72574U2PD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IMMASSFYTDBUYRYKN72574U2PD/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":"2026-08-05T02:05:11Z","links":{"resolver":"https://pith.science/pith/IMMASSFYTDBUYRYKN72574U2PD","bundle":"https://pith.science/pith/IMMASSFYTDBUYRYKN72574U2PD/bundle.json","state":"https://pith.science/pith/IMMASSFYTDBUYRYKN72574U2PD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IMMASSFYTDBUYRYKN72574U2PD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:IMMASSFYTDBUYRYKN72574U2PD","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":"01bd4735694b7fcdab6da8a0b88b0fd448a0aefbcd844d01b9a1d6b3dfd89898","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-09-26T17:43:23Z","title_canon_sha256":"1b55d4e2b3a6e0e67086f0ace0cc3452b80a5bde1d4dd2a85bf734fe8a2069a1"},"schema_version":"1.0","source":{"id":"hep-th/0309242","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0309242","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0309242v2","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0309242","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"pith_short_12","alias_value":"IMMASSFYTDBU","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"pith_short_16","alias_value":"IMMASSFYTDBUYRYK","created_at":"2026-07-04T16:41:24Z"},{"alias_kind":"pith_short_8","alias_value":"IMMASSFY","created_at":"2026-07-04T16:41:24Z"}],"graph_snapshots":[{"event_id":"sha256:4c8bc61a87d53e8a2c28601de3fea150cc95ec1dbbd187619f2bb0b1efdb9a59","target":"graph","created_at":"2026-07-04T16:41:24Z","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/hep-th/0309242/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We further develop an algorithmic and diagrammatic computational framework for very general exact renormalization groups, where the embedded regularisation scheme, parametrised by a general cutoff function and infinitely many higher point vertices, is left unspecified. Calculations proceed iteratively,by integrating by parts with respect to the effective cutoff, thus introducing effective propagators, and differentials of vertices that can be expanded using the flow equations; many cancellations occur on using the fact that the effective propagator is the inverse of the classical Wilsonian two","authors_text":"Antonio Gatti, Oliver J. Rosten, Stefano Arnone, Tim R. Morris","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-09-26T17:43:23Z","title":"Exact scheme independence at two loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0309242","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":"sha256:9602a1386f1fc694aa6a387f9cc27c22ef31e1f47c41de88aa81d26b2c6f11ab","target":"record","created_at":"2026-07-04T16:41:24Z","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":"01bd4735694b7fcdab6da8a0b88b0fd448a0aefbcd844d01b9a1d6b3dfd89898","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-09-26T17:43:23Z","title_canon_sha256":"1b55d4e2b3a6e0e67086f0ace0cc3452b80a5bde1d4dd2a85bf734fe8a2069a1"},"schema_version":"1.0","source":{"id":"hep-th/0309242","kind":"arxiv","version":2}},"canonical_sha256":"43180948b898c34c470a6ff5dff29a78c534660b6eddc6d7bb2638151d593cb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43180948b898c34c470a6ff5dff29a78c534660b6eddc6d7bb2638151d593cb0","first_computed_at":"2026-07-04T16:41:24.205393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:24.205393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P+toQ2iBdM/+v6LGp936R/Qxn73kghgqVmrnoozQxXzrY9VzYQSfSp1OybAeTsmM8xuCgz6632A3qOVr+DkiDg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:24.205792Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0309242","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9602a1386f1fc694aa6a387f9cc27c22ef31e1f47c41de88aa81d26b2c6f11ab","sha256:4c8bc61a87d53e8a2c28601de3fea150cc95ec1dbbd187619f2bb0b1efdb9a59"],"state_sha256":"87ba9b4e0111a62644fa42ca57400380d56808d0dc0569a315ed33ceb07c72d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7G8xiXcB7mK04GzOgDeweMintaWIQw0RPB2V4X6kHPDCVxVGwAZDCoWQ8+7ph0Q/hlS6jezaJ7clSMKhk7VFAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T02:05:11.714574Z","bundle_sha256":"ba2c8314f29a3c688d715539db33bb3014042031813a4ae07617e204e83b7c5a"}}