{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:XY4RFHZKFT6RZRANLG3NP7VVZT","short_pith_number":"pith:XY4RFHZK","canonical_record":{"source":{"id":"hep-th/0210009","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-10-01T19:18:23Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"4992dfb9e8baee1a59afb971dad42e927625871fdc5727bd5501a68b0dca22d5","abstract_canon_sha256":"92a18678d8e80bf45033ffb94e8aba36bf9cee50f503c6a379ceeab87ca687f9"},"schema_version":"1.0"},"canonical_sha256":"be39129f2a2cfd1cc40d59b6d7feb5cccd1f3e38ab32621c96601d4eb302539c","source":{"kind":"arxiv","id":"hep-th/0210009","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0210009","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0210009v1","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0210009","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"XY4RFHZKFT6R","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XY4RFHZKFT6RZRAN","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XY4RFHZK","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:XY4RFHZKFT6RZRANLG3NP7VVZT","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0210009","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-10-01T19:18:23Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"4992dfb9e8baee1a59afb971dad42e927625871fdc5727bd5501a68b0dca22d5","abstract_canon_sha256":"92a18678d8e80bf45033ffb94e8aba36bf9cee50f503c6a379ceeab87ca687f9"},"schema_version":"1.0"},"canonical_sha256":"be39129f2a2cfd1cc40d59b6d7feb5cccd1f3e38ab32621c96601d4eb302539c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:53.704040Z","signature_b64":"OnPopKeO4qYaAPMQh3unX+y+zUnJRA9xTkZZfymz+lIrIt8udScy17nW2DZ0CzFOilVexlSGrwDDWuZ1nvqICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be39129f2a2cfd1cc40d59b6d7feb5cccd1f3e38ab32621c96601d4eb302539c","last_reissued_at":"2026-05-18T02:35:53.703448Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:53.703448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0210009","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":"2026-05-18T02:35:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nGq1hsCOgJCql0UWHg8QD2ZzKwDxZeH5pQwQY4fIc921ihB0nJ6TAqLClNK9CliA0LLoqPmgvyCj4X98t+/YBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T05:15:46.805489Z"},"content_sha256":"cc095e4c952a6136ea923bdb0c09f613fa668950066fcf48cd4f1ad4ae414457","schema_version":"1.0","event_id":"sha256:cc095e4c952a6136ea923bdb0c09f613fa668950066fcf48cd4f1ad4ae414457"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:XY4RFHZKFT6RZRANLG3NP7VVZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ERG as a tool for non-perturbative studies","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Yuri A. Kubyshin","submitted_at":"2002-10-01T19:18:23Z","abstract_excerpt":"Basic elements of the exact renormalization group method and recent results within this approach are reviewed. Topics covered are the derivation of equations for the effective action and relations between them, derivative expansion, solutions of fixed point equations and the calculation of the critical exponents, construction of the c-function and a description of the chiral phase transition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0210009","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":"2026-05-18T02:35:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JrMLpry+idBl4vVZmj1AyxinEgji7Yzj6MjFp6Y0WmFd2NIBQVtQeBT9zZwmS9q587yydfJ+90I1mvCzr9p9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T05:15:46.805838Z"},"content_sha256":"95343f051a3b9852b9be89b7d61808b7875823b8347e6e2e2e32f809407326e6","schema_version":"1.0","event_id":"sha256:95343f051a3b9852b9be89b7d61808b7875823b8347e6e2e2e32f809407326e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XY4RFHZKFT6RZRANLG3NP7VVZT/bundle.json","state_url":"https://pith.science/pith/XY4RFHZKFT6RZRANLG3NP7VVZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XY4RFHZKFT6RZRANLG3NP7VVZT/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":"2026-06-20T05:15:46Z","links":{"resolver":"https://pith.science/pith/XY4RFHZKFT6RZRANLG3NP7VVZT","bundle":"https://pith.science/pith/XY4RFHZKFT6RZRANLG3NP7VVZT/bundle.json","state":"https://pith.science/pith/XY4RFHZKFT6RZRANLG3NP7VVZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XY4RFHZKFT6RZRANLG3NP7VVZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:XY4RFHZKFT6RZRANLG3NP7VVZT","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":"92a18678d8e80bf45033ffb94e8aba36bf9cee50f503c6a379ceeab87ca687f9","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2002-10-01T19:18:23Z","title_canon_sha256":"4992dfb9e8baee1a59afb971dad42e927625871fdc5727bd5501a68b0dca22d5"},"schema_version":"1.0","source":{"id":"hep-th/0210009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0210009","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0210009v1","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0210009","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"XY4RFHZKFT6R","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XY4RFHZKFT6RZRAN","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XY4RFHZK","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:95343f051a3b9852b9be89b7d61808b7875823b8347e6e2e2e32f809407326e6","target":"graph","created_at":"2026-05-18T02:35:53Z","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":"Basic elements of the exact renormalization group method and recent results within this approach are reviewed. Topics covered are the derivation of equations for the effective action and relations between them, derivative expansion, solutions of fixed point equations and the calculation of the critical exponents, construction of the c-function and a description of the chiral phase transition.","authors_text":"Yuri A. Kubyshin","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-10-01T19:18:23Z","title":"ERG as a tool for non-perturbative studies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0210009","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:cc095e4c952a6136ea923bdb0c09f613fa668950066fcf48cd4f1ad4ae414457","target":"record","created_at":"2026-05-18T02:35:53Z","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":"92a18678d8e80bf45033ffb94e8aba36bf9cee50f503c6a379ceeab87ca687f9","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2002-10-01T19:18:23Z","title_canon_sha256":"4992dfb9e8baee1a59afb971dad42e927625871fdc5727bd5501a68b0dca22d5"},"schema_version":"1.0","source":{"id":"hep-th/0210009","kind":"arxiv","version":1}},"canonical_sha256":"be39129f2a2cfd1cc40d59b6d7feb5cccd1f3e38ab32621c96601d4eb302539c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be39129f2a2cfd1cc40d59b6d7feb5cccd1f3e38ab32621c96601d4eb302539c","first_computed_at":"2026-05-18T02:35:53.703448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:53.703448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OnPopKeO4qYaAPMQh3unX+y+zUnJRA9xTkZZfymz+lIrIt8udScy17nW2DZ0CzFOilVexlSGrwDDWuZ1nvqICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:53.704040Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0210009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc095e4c952a6136ea923bdb0c09f613fa668950066fcf48cd4f1ad4ae414457","sha256:95343f051a3b9852b9be89b7d61808b7875823b8347e6e2e2e32f809407326e6"],"state_sha256":"0b5df484824dfe8b918f125aa63e0e39b973e59336fa935659eb2d66ea0073b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NyO0dgrhynYWy2jA/Rbp4+RF8A1xtzqRIKpJV3oEL02sJ0qM13vATe69rYhPGtKFmk0xK2QBWkKA6Phxz7ZrDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T05:15:46.807814Z","bundle_sha256":"32ef650793ae5f1b066c7e34721887c19a8e15903edd29c2b30ca64a60484bb9"}}