{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:4E52YIROPFPAJAQGGKA7U4XFSP","short_pith_number":"pith:4E52YIRO","canonical_record":{"source":{"id":"2608.02447","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T16:24:05Z","cross_cats_sorted":[],"title_canon_sha256":"4e51f4fd68108dfc6b5df5007d753a839cf3eb28497fe2e87a4315844cb0a3d0","abstract_canon_sha256":"33db866336b8746a65eeb083217b443cd50476f1fc6bdc2a8f27249d14212e0c"},"schema_version":"1.0"},"canonical_sha256":"e13bac222e795e0482063281fa72e593e8a41fee491bd2a963f74e911b67e366","source":{"kind":"arxiv","id":"2608.02447","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02447","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02447v1","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02447","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"4E52YIROPFPA","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"pith_short_16","alias_value":"4E52YIROPFPAJAQG","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"pith_short_8","alias_value":"4E52YIRO","created_at":"2026-08-04T02:43:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:4E52YIROPFPAJAQGGKA7U4XFSP","target":"record","payload":{"canonical_record":{"source":{"id":"2608.02447","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T16:24:05Z","cross_cats_sorted":[],"title_canon_sha256":"4e51f4fd68108dfc6b5df5007d753a839cf3eb28497fe2e87a4315844cb0a3d0","abstract_canon_sha256":"33db866336b8746a65eeb083217b443cd50476f1fc6bdc2a8f27249d14212e0c"},"schema_version":"1.0"},"canonical_sha256":"e13bac222e795e0482063281fa72e593e8a41fee491bd2a963f74e911b67e366","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T02:43:31.648452Z","signature_b64":"vw5x893h6KoJMo2YvKTlvf8RbR1f14DmX8ceYfBF73Eo8jiwlwjEZWPzyuI/luHs4yeoudhap6Qb9O0ma5+2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e13bac222e795e0482063281fa72e593e8a41fee491bd2a963f74e911b67e366","last_reissued_at":"2026-08-04T02:43:31.645945Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T02:43:31.645945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.02447","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":"2026-08-04T02:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EWGYyP8dgD28PALj1KdVrit4E3eq99y2NH4wPPN4esAKEr4xuYVs+gdcsyEiP9pRU7nkfT6DPKfaHVRViBDJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:00:09.525876Z"},"content_sha256":"fbae0e17d08cfb4a805d5066f91fd6eb57f7c216810da39eecbc9cdb50aaadce","schema_version":"1.0","event_id":"sha256:fbae0e17d08cfb4a805d5066f91fd6eb57f7c216810da39eecbc9cdb50aaadce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:4E52YIROPFPAJAQGGKA7U4XFSP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rank matching in renormalization-group irreversibility: Exact defect and entropic tests","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Francesco Scardino","submitted_at":"2026-08-03T16:24:05Z","abstract_excerpt":"Why do local subtractions produce renormalization-group monotones in some settings but fail in others? We propose rank matching. Local counterterms fix how many scale derivatives scheme independence requires. Every derivative adds one connected insertion, while the available positivity inputs are bilinear forms or positive second variations and therefore control only quadratic data. Degree one is the last subtraction whose scale derivative stays within their direct reach. First-order subtractions can close when a Ward or entropic identity supplies a signed quadratic form. Higher orders need ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02447","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.02447/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":"2026-08-04T02:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VzdZTPB3jklPan26o4JFO1aE2iZBHxsAiXkM9mdnbebK3rMxVcdv/t32CLA5EqN6PP1de6+wi6+WtpPbvoDwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:00:09.526769Z"},"content_sha256":"b0971b0eb65f5db0967f0e96611aae662b97f3f0051e6bf414ca0a548fc4b57b","schema_version":"1.0","event_id":"sha256:b0971b0eb65f5db0967f0e96611aae662b97f3f0051e6bf414ca0a548fc4b57b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4E52YIROPFPAJAQGGKA7U4XFSP/bundle.json","state_url":"https://pith.science/pith/4E52YIROPFPAJAQGGKA7U4XFSP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4E52YIROPFPAJAQGGKA7U4XFSP/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":"2026-08-05T03:00:09Z","links":{"resolver":"https://pith.science/pith/4E52YIROPFPAJAQGGKA7U4XFSP","bundle":"https://pith.science/pith/4E52YIROPFPAJAQGGKA7U4XFSP/bundle.json","state":"https://pith.science/pith/4E52YIROPFPAJAQGGKA7U4XFSP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4E52YIROPFPAJAQGGKA7U4XFSP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4E52YIROPFPAJAQGGKA7U4XFSP","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":"33db866336b8746a65eeb083217b443cd50476f1fc6bdc2a8f27249d14212e0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T16:24:05Z","title_canon_sha256":"4e51f4fd68108dfc6b5df5007d753a839cf3eb28497fe2e87a4315844cb0a3d0"},"schema_version":"1.0","source":{"id":"2608.02447","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02447","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02447v1","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02447","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"4E52YIROPFPA","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"pith_short_16","alias_value":"4E52YIROPFPAJAQG","created_at":"2026-08-04T02:43:31Z"},{"alias_kind":"pith_short_8","alias_value":"4E52YIRO","created_at":"2026-08-04T02:43:31Z"}],"graph_snapshots":[{"event_id":"sha256:b0971b0eb65f5db0967f0e96611aae662b97f3f0051e6bf414ca0a548fc4b57b","target":"graph","created_at":"2026-08-04T02:43:31Z","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/2608.02447/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Why do local subtractions produce renormalization-group monotones in some settings but fail in others? We propose rank matching. Local counterterms fix how many scale derivatives scheme independence requires. Every derivative adds one connected insertion, while the available positivity inputs are bilinear forms or positive second variations and therefore control only quadratic data. Degree one is the last subtraction whose scale derivative stays within their direct reach. First-order subtractions can close when a Ward or entropic identity supplies a signed quadratic form. Higher orders need ex","authors_text":"Francesco Scardino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T16:24:05Z","title":"Rank matching in renormalization-group irreversibility: Exact defect and entropic tests"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02447","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:fbae0e17d08cfb4a805d5066f91fd6eb57f7c216810da39eecbc9cdb50aaadce","target":"record","created_at":"2026-08-04T02:43:31Z","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":"33db866336b8746a65eeb083217b443cd50476f1fc6bdc2a8f27249d14212e0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T16:24:05Z","title_canon_sha256":"4e51f4fd68108dfc6b5df5007d753a839cf3eb28497fe2e87a4315844cb0a3d0"},"schema_version":"1.0","source":{"id":"2608.02447","kind":"arxiv","version":1}},"canonical_sha256":"e13bac222e795e0482063281fa72e593e8a41fee491bd2a963f74e911b67e366","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e13bac222e795e0482063281fa72e593e8a41fee491bd2a963f74e911b67e366","first_computed_at":"2026-08-04T02:43:31.645945Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T02:43:31.645945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vw5x893h6KoJMo2YvKTlvf8RbR1f14DmX8ceYfBF73Eo8jiwlwjEZWPzyuI/luHs4yeoudhap6Qb9O0ma5+2Dg==","signature_status":"signed_v1","signed_at":"2026-08-04T02:43:31.648452Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.02447","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbae0e17d08cfb4a805d5066f91fd6eb57f7c216810da39eecbc9cdb50aaadce","sha256:b0971b0eb65f5db0967f0e96611aae662b97f3f0051e6bf414ca0a548fc4b57b"],"state_sha256":"b6ead1426e0daee84c5653235529848fc9cfcd6c14821cc2ca4b382cf5105b9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g4/+FH0ay6ubo2cl4twx+HNHRslVPgNEHlDb0u/qk7eNg/AYRldqh975hxHtq58IWGhJOSxj9heSvgbNyhqwCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T03:00:09.537426Z","bundle_sha256":"d7cf83f8c40bfeebdbea6f91b1276697e847fb2338826af737164df1e10d2932"}}