{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:37ZFIDAXUUA356YM4WYEEAYW42","short_pith_number":"pith:37ZFIDAX","canonical_record":{"source":{"id":"hep-th/0309234","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-09-25T15:07:47Z","cross_cats_sorted":[],"title_canon_sha256":"ff08c2e1578e47f966bdf363288caaf73f1f30ce6d64531bb14007972dfa9258","abstract_canon_sha256":"4a71e16d8e6b98607b69f9d3176cadb004a4e1b1fd4ba65805089fb8d22e81e4"},"schema_version":"1.0"},"canonical_sha256":"dff2540c17a501befb0ce5b0420316e6b06a47f6fccf342789107a6e2a65fb44","source":{"kind":"arxiv","id":"hep-th/0309234","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0309234","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0309234v1","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0309234","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"37ZFIDAXUUA3","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"37ZFIDAXUUA356YM","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"37ZFIDAX","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:37ZFIDAXUUA356YM4WYEEAYW42","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0309234","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-09-25T15:07:47Z","cross_cats_sorted":[],"title_canon_sha256":"ff08c2e1578e47f966bdf363288caaf73f1f30ce6d64531bb14007972dfa9258","abstract_canon_sha256":"4a71e16d8e6b98607b69f9d3176cadb004a4e1b1fd4ba65805089fb8d22e81e4"},"schema_version":"1.0"},"canonical_sha256":"dff2540c17a501befb0ce5b0420316e6b06a47f6fccf342789107a6e2a65fb44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:46.626418Z","signature_b64":"LHCTIMlF59Wv6DWX4uyZQbtoMtZJBElSn6Cp5mi5SIXBn6PSzUhkw5vzLBZGl9jBRFdBxOMHIdHDrO5hHbxkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dff2540c17a501befb0ce5b0420316e6b06a47f6fccf342789107a6e2a65fb44","last_reissued_at":"2026-05-18T01:38:46.626018Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:46.626018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0309234","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AYe50KZjlnTAc4dttwMxqmQkJtRjxqwrRps1NZdYJ7CVjorOgd6MgUcy364d3UY/evMMTtfud6IFjujMW7wMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:13:44.535602Z"},"content_sha256":"cb1bc16cf200e06d7d9d16c538dbd2a5145bdc95a259bcf240fefd570ce8da69","schema_version":"1.0","event_id":"sha256:cb1bc16cf200e06d7d9d16c538dbd2a5145bdc95a259bcf240fefd570ce8da69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:37ZFIDAXUUA356YM4WYEEAYW42","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Price of an Exact, Gauge-Invariant RG-Flow Equation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"G. Veneziano, K.A. Meissner, V. Branchina","submitted_at":"2003-09-25T15:07:47Z","abstract_excerpt":"We combine old ideas about exact renormalization-group-flow (RGF) equations with the Vilkovisky-De Witt (VDW) approach to reparametrization invariant effective actions and arrive at a new, exact, gauge-invariant RGF equation. The price to be paid for such a result is that both the action and the RGF equation depend explicitly upon the base point (in field space) needed for the VDW construction. We briefly discuss the complications originating from this fact and possible ways to overcome them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0309234","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:38:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ht+Bht+AJ+ITqoEn2EtoaoKPXEeROdQcRP5xGg8iTUQ5b6uoebK+h3JpBM7bczekR6dnCdN9lTYPu/RFSwzBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:13:44.536197Z"},"content_sha256":"56738b6810d917dc3883632191e07c53e0d0a9e7195da68c64658d2366c734be","schema_version":"1.0","event_id":"sha256:56738b6810d917dc3883632191e07c53e0d0a9e7195da68c64658d2366c734be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/37ZFIDAXUUA356YM4WYEEAYW42/bundle.json","state_url":"https://pith.science/pith/37ZFIDAXUUA356YM4WYEEAYW42/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/37ZFIDAXUUA356YM4WYEEAYW42/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":"2026-05-30T01:13:44Z","links":{"resolver":"https://pith.science/pith/37ZFIDAXUUA356YM4WYEEAYW42","bundle":"https://pith.science/pith/37ZFIDAXUUA356YM4WYEEAYW42/bundle.json","state":"https://pith.science/pith/37ZFIDAXUUA356YM4WYEEAYW42/state.json","well_known_bundle":"https://pith.science/.well-known/pith/37ZFIDAXUUA356YM4WYEEAYW42/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:37ZFIDAXUUA356YM4WYEEAYW42","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":"4a71e16d8e6b98607b69f9d3176cadb004a4e1b1fd4ba65805089fb8d22e81e4","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-09-25T15:07:47Z","title_canon_sha256":"ff08c2e1578e47f966bdf363288caaf73f1f30ce6d64531bb14007972dfa9258"},"schema_version":"1.0","source":{"id":"hep-th/0309234","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0309234","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0309234v1","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0309234","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"37ZFIDAXUUA3","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"37ZFIDAXUUA356YM","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"37ZFIDAX","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:56738b6810d917dc3883632191e07c53e0d0a9e7195da68c64658d2366c734be","target":"graph","created_at":"2026-05-18T01:38:46Z","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"},"paper":{"abstract_excerpt":"We combine old ideas about exact renormalization-group-flow (RGF) equations with the Vilkovisky-De Witt (VDW) approach to reparametrization invariant effective actions and arrive at a new, exact, gauge-invariant RGF equation. The price to be paid for such a result is that both the action and the RGF equation depend explicitly upon the base point (in field space) needed for the VDW construction. We briefly discuss the complications originating from this fact and possible ways to overcome them.","authors_text":"G. Veneziano, K.A. Meissner, V. Branchina","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-09-25T15:07:47Z","title":"The Price of an Exact, Gauge-Invariant RG-Flow Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0309234","kind":"arxiv","version":1},"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:cb1bc16cf200e06d7d9d16c538dbd2a5145bdc95a259bcf240fefd570ce8da69","target":"record","created_at":"2026-05-18T01:38:46Z","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":"4a71e16d8e6b98607b69f9d3176cadb004a4e1b1fd4ba65805089fb8d22e81e4","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-09-25T15:07:47Z","title_canon_sha256":"ff08c2e1578e47f966bdf363288caaf73f1f30ce6d64531bb14007972dfa9258"},"schema_version":"1.0","source":{"id":"hep-th/0309234","kind":"arxiv","version":1}},"canonical_sha256":"dff2540c17a501befb0ce5b0420316e6b06a47f6fccf342789107a6e2a65fb44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dff2540c17a501befb0ce5b0420316e6b06a47f6fccf342789107a6e2a65fb44","first_computed_at":"2026-05-18T01:38:46.626018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:46.626018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LHCTIMlF59Wv6DWX4uyZQbtoMtZJBElSn6Cp5mi5SIXBn6PSzUhkw5vzLBZGl9jBRFdBxOMHIdHDrO5hHbxkAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:46.626418Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0309234","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb1bc16cf200e06d7d9d16c538dbd2a5145bdc95a259bcf240fefd570ce8da69","sha256:56738b6810d917dc3883632191e07c53e0d0a9e7195da68c64658d2366c734be"],"state_sha256":"fc6849aacaf13c89fdf155ea7a5351206ca982dff705be1be62c6ffee76f9a5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HhRES7oz8K19toWMAAjI+2pnT68h+4g/t3BtedIGaGT43tV52ZadwvVSIRwJ79oxVa3RL+WyBLGYfw1kAexlBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T01:13:44.538898Z","bundle_sha256":"7349c0619243a2a0eb79ecafca79b1fdaebd14caa62278672015d54ac34cee2b"}}