{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO","short_pith_number":"pith:Z2LY4HTQ","canonical_record":{"source":{"id":"0706.0340","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-06-03T18:58:28Z","cross_cats_sorted":[],"title_canon_sha256":"3c451d2b5024f3d0798b6508cf03135bfc2f5ad9bfcfff3afbbb22523005d171","abstract_canon_sha256":"eebc1b269a24f97b58e65d661f751920f119dbaa24e897b25323249408236a90"},"schema_version":"1.0"},"canonical_sha256":"ce978e1e70d40b4727b95440635defb380a0d524454a99b918dbca0adffec9fc","source":{"kind":"arxiv","id":"0706.0340","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.0340","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"0706.0340v1","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.0340","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"Z2LY4HTQ2QFU","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_16","alias_value":"Z2LY4HTQ2QFUOJ5Z","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_8","alias_value":"Z2LY4HTQ","created_at":"2026-07-04T15:24:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO","target":"record","payload":{"canonical_record":{"source":{"id":"0706.0340","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-06-03T18:58:28Z","cross_cats_sorted":[],"title_canon_sha256":"3c451d2b5024f3d0798b6508cf03135bfc2f5ad9bfcfff3afbbb22523005d171","abstract_canon_sha256":"eebc1b269a24f97b58e65d661f751920f119dbaa24e897b25323249408236a90"},"schema_version":"1.0"},"canonical_sha256":"ce978e1e70d40b4727b95440635defb380a0d524454a99b918dbca0adffec9fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:24:16.945757Z","signature_b64":"Lwlp45SZN5oX5jndJNtLCHNsm0Z47f2aPhb8XO+5K77jeuj12PUCD0URS/Co0/25VYA0cnSHPJ9xvY6RaS0fCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce978e1e70d40b4727b95440635defb380a0d524454a99b918dbca0adffec9fc","last_reissued_at":"2026-07-04T15:24:16.945388Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:24:16.945388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.0340","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":"2026-07-04T15:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XFlglD0y8tbDraXL2bjnCbbO2PJK0hDAPlqD9vPmK3HXRyjQTQnTe6fz0sK0yqzAaqBhx2fqmVY87vIbQwEABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T05:11:51.920503Z"},"content_sha256":"2478f5eff14e03ec743804ba823fd9bf3336bfc9022c30995d95d9234ea240ca","schema_version":"1.0","event_id":"sha256:2478f5eff14e03ec743804ba823fd9bf3336bfc9022c30995d95d9234ea240ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nicolas Boulanger","submitted_at":"2007-06-03T18:58:28Z","abstract_excerpt":"Conformally invariant massless field systems involving only dimensionless parameters are known to describe particle physics at very high energy. In the presence of an external gravitational field, the conformal symmetry may generalize to Weyl invariance. However, the latter symmetry no longer survives after quantization: A Weyl anomaly appears. In this Letter, a purely algebraic understanding of the universal structure of the Weyl anomalies is presented. The results hold in arbitrary dimensions and independently of any regularization scheme."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.0340","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/0706.0340/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":"2026-07-04T15:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DSH78aB3Bq4yMyqWPxXfdoenvWLWDfiOGaE6td1WqHh2cRom30q3yLT+Qnpv/PSSU0SIKFgNhRfqVxOl2e0iCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T05:11:51.921124Z"},"content_sha256":"dfc523a3fdc3cc847436a5e1ac5948348fba705e3695678789e8021b09fde0a0","schema_version":"1.0","event_id":"sha256:dfc523a3fdc3cc847436a5e1ac5948348fba705e3695678789e8021b09fde0a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO/bundle.json","state_url":"https://pith.science/pith/Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO/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":"2026-08-06T05:11:51Z","links":{"resolver":"https://pith.science/pith/Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO","bundle":"https://pith.science/pith/Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO/bundle.json","state":"https://pith.science/pith/Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:Z2LY4HTQ2QFUOJ5ZKRAGGXPPWO","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":"eebc1b269a24f97b58e65d661f751920f119dbaa24e897b25323249408236a90","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-06-03T18:58:28Z","title_canon_sha256":"3c451d2b5024f3d0798b6508cf03135bfc2f5ad9bfcfff3afbbb22523005d171"},"schema_version":"1.0","source":{"id":"0706.0340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.0340","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"0706.0340v1","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.0340","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"Z2LY4HTQ2QFU","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_16","alias_value":"Z2LY4HTQ2QFUOJ5Z","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_8","alias_value":"Z2LY4HTQ","created_at":"2026-07-04T15:24:16Z"}],"graph_snapshots":[{"event_id":"sha256:dfc523a3fdc3cc847436a5e1ac5948348fba705e3695678789e8021b09fde0a0","target":"graph","created_at":"2026-07-04T15:24:16Z","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/0706.0340/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Conformally invariant massless field systems involving only dimensionless parameters are known to describe particle physics at very high energy. In the presence of an external gravitational field, the conformal symmetry may generalize to Weyl invariance. However, the latter symmetry no longer survives after quantization: A Weyl anomaly appears. In this Letter, a purely algebraic understanding of the universal structure of the Weyl anomalies is presented. The results hold in arbitrary dimensions and independently of any regularization scheme.","authors_text":"Nicolas Boulanger","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-06-03T18:58:28Z","title":"Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.0340","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":"sha256:2478f5eff14e03ec743804ba823fd9bf3336bfc9022c30995d95d9234ea240ca","target":"record","created_at":"2026-07-04T15:24:16Z","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":"eebc1b269a24f97b58e65d661f751920f119dbaa24e897b25323249408236a90","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-06-03T18:58:28Z","title_canon_sha256":"3c451d2b5024f3d0798b6508cf03135bfc2f5ad9bfcfff3afbbb22523005d171"},"schema_version":"1.0","source":{"id":"0706.0340","kind":"arxiv","version":1}},"canonical_sha256":"ce978e1e70d40b4727b95440635defb380a0d524454a99b918dbca0adffec9fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce978e1e70d40b4727b95440635defb380a0d524454a99b918dbca0adffec9fc","first_computed_at":"2026-07-04T15:24:16.945388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:24:16.945388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lwlp45SZN5oX5jndJNtLCHNsm0Z47f2aPhb8XO+5K77jeuj12PUCD0URS/Co0/25VYA0cnSHPJ9xvY6RaS0fCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:24:16.945757Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.0340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2478f5eff14e03ec743804ba823fd9bf3336bfc9022c30995d95d9234ea240ca","sha256:dfc523a3fdc3cc847436a5e1ac5948348fba705e3695678789e8021b09fde0a0"],"state_sha256":"1e00f48334284c13ed1f87e216b54a5548b9af2263b82f461311ac9d06541e41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cIaidEsznIDOROESjsPOoJ+ROdYubrQ4D+hFlksDC5o97HD5Izp6GvGYE7N8D6EDn8ZT1P/YEsg539syunqUBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T05:11:51.926115Z","bundle_sha256":"ec501a71e7a69982fa9a9c2d031a841d8f1cb2e86dff519b2708266c28ff021f"}}