{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:LJ5XYQBAWWWWSTXYQNVWDTJH65","short_pith_number":"pith:LJ5XYQBA","canonical_record":{"source":{"id":"hep-th/0007062","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-07-07T16:24:35Z","cross_cats_sorted":[],"title_canon_sha256":"f94e764a332e58d4d90796e81051f036e64dce74fe80f95c69fdb985ca9c9f3c","abstract_canon_sha256":"dc02825994f7c9f2137a9a805b2302f4e53be4376477a4bbc39cf2b37d19f089"},"schema_version":"1.0"},"canonical_sha256":"5a7b7c4020b5ad694ef8836b61cd27f75eeaf292bdd9e6aae11455afffae8c53","source":{"kind":"arxiv","id":"hep-th/0007062","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0007062","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0007062v4","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0007062","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"pith_short_12","alias_value":"LJ5XYQBAWWWW","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"pith_short_16","alias_value":"LJ5XYQBAWWWWSTXY","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"pith_short_8","alias_value":"LJ5XYQBA","created_at":"2026-07-04T16:20:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:LJ5XYQBAWWWWSTXYQNVWDTJH65","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0007062","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-07-07T16:24:35Z","cross_cats_sorted":[],"title_canon_sha256":"f94e764a332e58d4d90796e81051f036e64dce74fe80f95c69fdb985ca9c9f3c","abstract_canon_sha256":"dc02825994f7c9f2137a9a805b2302f4e53be4376477a4bbc39cf2b37d19f089"},"schema_version":"1.0"},"canonical_sha256":"5a7b7c4020b5ad694ef8836b61cd27f75eeaf292bdd9e6aae11455afffae8c53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:20:57.246594Z","signature_b64":"H5Jp80jXx7s+8HWefdQfLf7ouUSd8xrOJRnwpPlp+/OxgFYryjptNInPPB+aykfaJ9NmLz/WS0KhNsxQVBK5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a7b7c4020b5ad694ef8836b61cd27f75eeaf292bdd9e6aae11455afffae8c53","last_reissued_at":"2026-07-04T16:20:57.246137Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:20:57.246137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0007062","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:20:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MoFG9LHx1UKzmfK6ispBGdebJAt6almTRvZEBPQB+dClsW4ooSxoNwlkOdlwWxigUDbAdLYW3PE5ja9PxoNhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T18:15:40.778835Z"},"content_sha256":"cb04ec02770ab347c697e29e7e4c88e2561a579a3003165ecc834d43d2decd53","schema_version":"1.0","event_id":"sha256:cb04ec02770ab347c697e29e7e4c88e2561a579a3003165ecc834d43d2decd53"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:LJ5XYQBAWWWWSTXYQNVWDTJH65","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Note on the Weyl Anomaly in the Holographic Renormalization Group","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Masafumi Fukuma, So Matsuura, Tadakatsu Sakai","submitted_at":"2000-07-07T16:24:35Z","abstract_excerpt":"We give a prescription for calculating the holographic Weyl anomaly in arbitrary dimension within the framework based on the Hamilton-Jacobi equation proposed by de Boer, Verlinde and Verlinde. A few sample calculations are made and shown to reproduce the results that are obtained to this time with a different method. We further discuss continuum limits, and argue that the holographic renormalization group may describe the renormalized trajectory in the parameter space. We also clarify the relationship of the present formalism to the analysis carried out by Henningson and Skenderis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0007062","kind":"arxiv","version":4},"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/0007062/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":"2026-07-04T16:20:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DVJeB6F/ZfzJSxsaXjkKfrs+QfcnKrcQvj0N5Wz3+u7TvrOk9L1QdZIZAkYNcnErkIzF5dFSbXoAQk6cvkgDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T18:15:40.779479Z"},"content_sha256":"916de3ada4800bf3c5a00c06a0290e67de0c8b5f1e4a6c44f173253e0f0c5fba","schema_version":"1.0","event_id":"sha256:916de3ada4800bf3c5a00c06a0290e67de0c8b5f1e4a6c44f173253e0f0c5fba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LJ5XYQBAWWWWSTXYQNVWDTJH65/bundle.json","state_url":"https://pith.science/pith/LJ5XYQBAWWWWSTXYQNVWDTJH65/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LJ5XYQBAWWWWSTXYQNVWDTJH65/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":"2026-08-06T18:15:40Z","links":{"resolver":"https://pith.science/pith/LJ5XYQBAWWWWSTXYQNVWDTJH65","bundle":"https://pith.science/pith/LJ5XYQBAWWWWSTXYQNVWDTJH65/bundle.json","state":"https://pith.science/pith/LJ5XYQBAWWWWSTXYQNVWDTJH65/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LJ5XYQBAWWWWSTXYQNVWDTJH65/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:LJ5XYQBAWWWWSTXYQNVWDTJH65","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":"dc02825994f7c9f2137a9a805b2302f4e53be4376477a4bbc39cf2b37d19f089","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-07-07T16:24:35Z","title_canon_sha256":"f94e764a332e58d4d90796e81051f036e64dce74fe80f95c69fdb985ca9c9f3c"},"schema_version":"1.0","source":{"id":"hep-th/0007062","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0007062","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0007062v4","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0007062","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"pith_short_12","alias_value":"LJ5XYQBAWWWW","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"pith_short_16","alias_value":"LJ5XYQBAWWWWSTXY","created_at":"2026-07-04T16:20:57Z"},{"alias_kind":"pith_short_8","alias_value":"LJ5XYQBA","created_at":"2026-07-04T16:20:57Z"}],"graph_snapshots":[{"event_id":"sha256:916de3ada4800bf3c5a00c06a0290e67de0c8b5f1e4a6c44f173253e0f0c5fba","target":"graph","created_at":"2026-07-04T16:20:57Z","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/0007062/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a prescription for calculating the holographic Weyl anomaly in arbitrary dimension within the framework based on the Hamilton-Jacobi equation proposed by de Boer, Verlinde and Verlinde. A few sample calculations are made and shown to reproduce the results that are obtained to this time with a different method. We further discuss continuum limits, and argue that the holographic renormalization group may describe the renormalized trajectory in the parameter space. We also clarify the relationship of the present formalism to the analysis carried out by Henningson and Skenderis.","authors_text":"Masafumi Fukuma, So Matsuura, Tadakatsu Sakai","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-07-07T16:24:35Z","title":"A Note on the Weyl Anomaly in the Holographic Renormalization Group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0007062","kind":"arxiv","version":4},"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:cb04ec02770ab347c697e29e7e4c88e2561a579a3003165ecc834d43d2decd53","target":"record","created_at":"2026-07-04T16:20:57Z","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":"dc02825994f7c9f2137a9a805b2302f4e53be4376477a4bbc39cf2b37d19f089","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-07-07T16:24:35Z","title_canon_sha256":"f94e764a332e58d4d90796e81051f036e64dce74fe80f95c69fdb985ca9c9f3c"},"schema_version":"1.0","source":{"id":"hep-th/0007062","kind":"arxiv","version":4}},"canonical_sha256":"5a7b7c4020b5ad694ef8836b61cd27f75eeaf292bdd9e6aae11455afffae8c53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a7b7c4020b5ad694ef8836b61cd27f75eeaf292bdd9e6aae11455afffae8c53","first_computed_at":"2026-07-04T16:20:57.246137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:20:57.246137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H5Jp80jXx7s+8HWefdQfLf7ouUSd8xrOJRnwpPlp+/OxgFYryjptNInPPB+aykfaJ9NmLz/WS0KhNsxQVBK5Cg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:20:57.246594Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0007062","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb04ec02770ab347c697e29e7e4c88e2561a579a3003165ecc834d43d2decd53","sha256:916de3ada4800bf3c5a00c06a0290e67de0c8b5f1e4a6c44f173253e0f0c5fba"],"state_sha256":"2ce17f6219099304468b2809eda3fac0af6a3124050107efe3975afcd677494a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Te1tDAKPjPLvu0vownzxRF3ENtdyeVfeO8AGGyzQi8lWv3BoLyTeChR/8M02l1eS+F/zuAa9h4I8O47xzwzlCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T18:15:40.783890Z","bundle_sha256":"5817d554a77c1fd05b96eedcd136d2a81f3366f69ed2328e43d4e42bd62a9186"}}