{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DU5RASTV5HHKM3QZ7HTDZOZ4ZA","short_pith_number":"pith:DU5RASTV","canonical_record":{"source":{"id":"1611.07005","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-21T20:48:31Z","cross_cats_sorted":[],"title_canon_sha256":"7469d83cd0b0d3c2179eb8c245fde7a2120c631af462268384749d08e8517327","abstract_canon_sha256":"fa5af289a81e94770681088f39693a19acebe4680239549e180a4415f6dd0665"},"schema_version":"1.0"},"canonical_sha256":"1d3b104a75e9cea66e19f9e63cbb3cc81810c77e67d24ec83c3acbee1648309f","source":{"kind":"arxiv","id":"1611.07005","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07005","created_at":"2026-05-18T00:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07005v2","created_at":"2026-05-18T00:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07005","created_at":"2026-05-18T00:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"DU5RASTV5HHK","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DU5RASTV5HHKM3QZ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DU5RASTV","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DU5RASTV5HHKM3QZ7HTDZOZ4ZA","target":"record","payload":{"canonical_record":{"source":{"id":"1611.07005","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-21T20:48:31Z","cross_cats_sorted":[],"title_canon_sha256":"7469d83cd0b0d3c2179eb8c245fde7a2120c631af462268384749d08e8517327","abstract_canon_sha256":"fa5af289a81e94770681088f39693a19acebe4680239549e180a4415f6dd0665"},"schema_version":"1.0"},"canonical_sha256":"1d3b104a75e9cea66e19f9e63cbb3cc81810c77e67d24ec83c3acbee1648309f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:11.624867Z","signature_b64":"ijHf6f7XMm5lvD753nJ7xI3/owmO+5Lws0PhQoYGsLt6/VoU6KmIvwOkUJ8DQwAXsuLPaaoBO2nLYWjiX3chCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d3b104a75e9cea66e19f9e63cbb3cc81810c77e67d24ec83c3acbee1648309f","last_reissued_at":"2026-05-18T00:49:11.624167Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:11.624167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.07005","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":"2026-05-18T00:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GuDGOaqLfCpOKa8OU/+Gn4qR66P9A/mVx7Rbkl0RaZ+imoioj01ZFlhn0s1eAbBwmePQkba8C4P+4TpHl0bdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:40:14.793285Z"},"content_sha256":"db39825370c516bb1c2fdfc9bb08cd2ce6452e37bb2988940ab0c1dd7cd2b174","schema_version":"1.0","event_id":"sha256:db39825370c516bb1c2fdfc9bb08cd2ce6452e37bb2988940ab0c1dd7cd2b174"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DU5RASTV5HHKM3QZ7HTDZOZ4ZA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The background scale Ward identity in quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gian Paolo Vacca, Roberto Percacci","submitted_at":"2016-11-21T20:48:31Z","abstract_excerpt":"We show that with suitable choices of parametrization, gauge fixing and cutoff, the anomalous variation of the effective action under global rescalings of the background metric is identical to the derivative with respect to the cutoff, i.e. to the beta functional, as defined by the exact RG equation. The Ward identity and the RG equation can be combined, resulting in a modified flow equation that is manifestly invariant under global background rescalings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07005","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":""},"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":"2026-05-18T00:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d0MP7xrz5+wW38XUdbG1P2zgWcWJa4hc6U5N9Uut0oMFr42GtaNniIkBfTMwuO7QRtm20JZhGrn2yl28xd2gBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:40:14.793928Z"},"content_sha256":"2cd1cacafd190bfe69c384436e513c0f6c6517e5a2baf9368c5ee789decf1c7c","schema_version":"1.0","event_id":"sha256:2cd1cacafd190bfe69c384436e513c0f6c6517e5a2baf9368c5ee789decf1c7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DU5RASTV5HHKM3QZ7HTDZOZ4ZA/bundle.json","state_url":"https://pith.science/pith/DU5RASTV5HHKM3QZ7HTDZOZ4ZA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DU5RASTV5HHKM3QZ7HTDZOZ4ZA/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":"2026-05-28T17:40:14Z","links":{"resolver":"https://pith.science/pith/DU5RASTV5HHKM3QZ7HTDZOZ4ZA","bundle":"https://pith.science/pith/DU5RASTV5HHKM3QZ7HTDZOZ4ZA/bundle.json","state":"https://pith.science/pith/DU5RASTV5HHKM3QZ7HTDZOZ4ZA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DU5RASTV5HHKM3QZ7HTDZOZ4ZA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DU5RASTV5HHKM3QZ7HTDZOZ4ZA","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":"fa5af289a81e94770681088f39693a19acebe4680239549e180a4415f6dd0665","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-21T20:48:31Z","title_canon_sha256":"7469d83cd0b0d3c2179eb8c245fde7a2120c631af462268384749d08e8517327"},"schema_version":"1.0","source":{"id":"1611.07005","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07005","created_at":"2026-05-18T00:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07005v2","created_at":"2026-05-18T00:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07005","created_at":"2026-05-18T00:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"DU5RASTV5HHK","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DU5RASTV5HHKM3QZ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DU5RASTV","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:2cd1cacafd190bfe69c384436e513c0f6c6517e5a2baf9368c5ee789decf1c7c","target":"graph","created_at":"2026-05-18T00:49:11Z","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 show that with suitable choices of parametrization, gauge fixing and cutoff, the anomalous variation of the effective action under global rescalings of the background metric is identical to the derivative with respect to the cutoff, i.e. to the beta functional, as defined by the exact RG equation. The Ward identity and the RG equation can be combined, resulting in a modified flow equation that is manifestly invariant under global background rescalings.","authors_text":"Gian Paolo Vacca, Roberto Percacci","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-21T20:48:31Z","title":"The background scale Ward identity in quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07005","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:db39825370c516bb1c2fdfc9bb08cd2ce6452e37bb2988940ab0c1dd7cd2b174","target":"record","created_at":"2026-05-18T00:49:11Z","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":"fa5af289a81e94770681088f39693a19acebe4680239549e180a4415f6dd0665","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-21T20:48:31Z","title_canon_sha256":"7469d83cd0b0d3c2179eb8c245fde7a2120c631af462268384749d08e8517327"},"schema_version":"1.0","source":{"id":"1611.07005","kind":"arxiv","version":2}},"canonical_sha256":"1d3b104a75e9cea66e19f9e63cbb3cc81810c77e67d24ec83c3acbee1648309f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d3b104a75e9cea66e19f9e63cbb3cc81810c77e67d24ec83c3acbee1648309f","first_computed_at":"2026-05-18T00:49:11.624167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:11.624167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ijHf6f7XMm5lvD753nJ7xI3/owmO+5Lws0PhQoYGsLt6/VoU6KmIvwOkUJ8DQwAXsuLPaaoBO2nLYWjiX3chCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:11.624867Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.07005","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db39825370c516bb1c2fdfc9bb08cd2ce6452e37bb2988940ab0c1dd7cd2b174","sha256:2cd1cacafd190bfe69c384436e513c0f6c6517e5a2baf9368c5ee789decf1c7c"],"state_sha256":"bcd23a92d7b69c9da2f5ccfac4e012c87e1a30f7a538eea0abebae45245a0024"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UWmgeFBmkGs0ha0hQVTFyjhjX8LMfxzxxQsbIaHM6A+r/4MSAFmf3+VHC138yJ+UCgT5YWxQhnH75fACjxDOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:40:14.796572Z","bundle_sha256":"239f543201b038e14e978b21b64ab84439c44931ceac63f5493f4d63e3524cfd"}}