{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:HNCF3QHJL5OKEUNE6WIWUIPPYX","short_pith_number":"pith:HNCF3QHJ","canonical_record":{"source":{"id":"2608.13289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-13T14:24:02Z","cross_cats_sorted":[],"title_canon_sha256":"c18223336059975686529b144b7b708c99cc662c5cfc6c7598b4bc2650cb9318","abstract_canon_sha256":"00dde343ebb73f2652e58a8c83a99655a3bca0524c458f446cd96d080c0565d4"},"schema_version":"1.0"},"canonical_sha256":"3b445dc0e95f5ca251a4f5916a21efc5dce7b0157a7ee152c3538c1a76c2004a","source":{"kind":"arxiv","id":"2608.13289","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.13289","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"arxiv_version","alias_value":"2608.13289v1","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.13289","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"pith_short_12","alias_value":"HNCF3QHJL5OK","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"pith_short_16","alias_value":"HNCF3QHJL5OKEUNE","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"pith_short_8","alias_value":"HNCF3QHJ","created_at":"2026-08-14T01:04:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:HNCF3QHJL5OKEUNE6WIWUIPPYX","target":"record","payload":{"canonical_record":{"source":{"id":"2608.13289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-13T14:24:02Z","cross_cats_sorted":[],"title_canon_sha256":"c18223336059975686529b144b7b708c99cc662c5cfc6c7598b4bc2650cb9318","abstract_canon_sha256":"00dde343ebb73f2652e58a8c83a99655a3bca0524c458f446cd96d080c0565d4"},"schema_version":"1.0"},"canonical_sha256":"3b445dc0e95f5ca251a4f5916a21efc5dce7b0157a7ee152c3538c1a76c2004a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-14T01:04:08.691785Z","signature_b64":"s3hZinvnAMQ7iI5z7JAe4xAHZfLHSeKjopvUMikiuwbMAyhvSZ+l9yOEULRuAF0znOr15jwbL5//ixmnMTzuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b445dc0e95f5ca251a4f5916a21efc5dce7b0157a7ee152c3538c1a76c2004a","last_reissued_at":"2026-08-14T01:04:08.689889Z","signature_status":"signed_v1","first_computed_at":"2026-08-14T01:04:08.689889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.13289","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":"2026-08-14T01:04:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zdzzPOw498zyLBGNFwb7tm30/EoDinxUevPgw3VnDbEuItGliHPvkYYgNxQoq79LOtsSy3dpIg3fEw+YM79GDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T00:18:17.671962Z"},"content_sha256":"bcb466967e77f5656924ed70b922ba053fea9c55606a4c64f85676581a3096e8","schema_version":"1.0","event_id":"sha256:bcb466967e77f5656924ed70b922ba053fea9c55606a4c64f85676581a3096e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:HNCF3QHJL5OKEUNE6WIWUIPPYX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differential Obstructions to Curvature-Dependent Conformal Transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David S. Pereira, Francisco S.N. Lobo, Jos\\'e Pedro Mimoso","submitted_at":"2026-08-13T14:24:02Z","abstract_excerpt":"Curvature-dependent conformal rules are local forward assignments on known metrics, but they are not generically local changes of metric variables. We study the nondegenerate class $\\widetilde g_{\\mu\\nu}=F(R[g])g_{\\mu\\nu}$, with $F>0$ and $F_R\\neq0$. Introducing an independent auxiliary scalar localizes the forward map, while recovering the original metric requires a differential constraint. The complete inverse metric tangent map contains the nonpolynomial projector $\\xi^\\mu\\xi^\\nu/\\xi^2$; hence no differentiable finite-jet inverse, i.e., a formula involving only finitely many derivatives at "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.13289","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/2608.13289/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":"2026-08-14T01:04:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VWI5jbj+rB7fjO6BZtMN6OjnlPgo2oU4A7nzQMxYD1qnWBiGMKpEHXTTdVfRlrNjJjklP3tcXbXnmnY8WRr1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T00:18:17.672501Z"},"content_sha256":"f6582a990d5ba8bd0051fdd31e8cc3c1928369c6f0c49e8b82958c1cafcf95f2","schema_version":"1.0","event_id":"sha256:f6582a990d5ba8bd0051fdd31e8cc3c1928369c6f0c49e8b82958c1cafcf95f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/bundle.json","state_url":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/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":"2026-08-15T00:18:17Z","links":{"resolver":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX","bundle":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/bundle.json","state":"https://pith.science/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HNCF3QHJL5OKEUNE6WIWUIPPYX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HNCF3QHJL5OKEUNE6WIWUIPPYX","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":"00dde343ebb73f2652e58a8c83a99655a3bca0524c458f446cd96d080c0565d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-13T14:24:02Z","title_canon_sha256":"c18223336059975686529b144b7b708c99cc662c5cfc6c7598b4bc2650cb9318"},"schema_version":"1.0","source":{"id":"2608.13289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.13289","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"arxiv_version","alias_value":"2608.13289v1","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.13289","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"pith_short_12","alias_value":"HNCF3QHJL5OK","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"pith_short_16","alias_value":"HNCF3QHJL5OKEUNE","created_at":"2026-08-14T01:04:08Z"},{"alias_kind":"pith_short_8","alias_value":"HNCF3QHJ","created_at":"2026-08-14T01:04:08Z"}],"graph_snapshots":[{"event_id":"sha256:f6582a990d5ba8bd0051fdd31e8cc3c1928369c6f0c49e8b82958c1cafcf95f2","target":"graph","created_at":"2026-08-14T01:04:08Z","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/2608.13289/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Curvature-dependent conformal rules are local forward assignments on known metrics, but they are not generically local changes of metric variables. We study the nondegenerate class $\\widetilde g_{\\mu\\nu}=F(R[g])g_{\\mu\\nu}$, with $F>0$ and $F_R\\neq0$. Introducing an independent auxiliary scalar localizes the forward map, while recovering the original metric requires a differential constraint. The complete inverse metric tangent map contains the nonpolynomial projector $\\xi^\\mu\\xi^\\nu/\\xi^2$; hence no differentiable finite-jet inverse, i.e., a formula involving only finitely many derivatives at ","authors_text":"David S. Pereira, Francisco S.N. Lobo, Jos\\'e Pedro Mimoso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-13T14:24:02Z","title":"Differential Obstructions to Curvature-Dependent Conformal Transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.13289","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:bcb466967e77f5656924ed70b922ba053fea9c55606a4c64f85676581a3096e8","target":"record","created_at":"2026-08-14T01:04:08Z","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":"00dde343ebb73f2652e58a8c83a99655a3bca0524c458f446cd96d080c0565d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-13T14:24:02Z","title_canon_sha256":"c18223336059975686529b144b7b708c99cc662c5cfc6c7598b4bc2650cb9318"},"schema_version":"1.0","source":{"id":"2608.13289","kind":"arxiv","version":1}},"canonical_sha256":"3b445dc0e95f5ca251a4f5916a21efc5dce7b0157a7ee152c3538c1a76c2004a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b445dc0e95f5ca251a4f5916a21efc5dce7b0157a7ee152c3538c1a76c2004a","first_computed_at":"2026-08-14T01:04:08.689889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-14T01:04:08.689889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s3hZinvnAMQ7iI5z7JAe4xAHZfLHSeKjopvUMikiuwbMAyhvSZ+l9yOEULRuAF0znOr15jwbL5//ixmnMTzuCg==","signature_status":"signed_v1","signed_at":"2026-08-14T01:04:08.691785Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.13289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcb466967e77f5656924ed70b922ba053fea9c55606a4c64f85676581a3096e8","sha256:f6582a990d5ba8bd0051fdd31e8cc3c1928369c6f0c49e8b82958c1cafcf95f2"],"state_sha256":"08a108d27a60655389bb27d9c2faeb48f804f8a6d8bfc874052297d7b27b9c80"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hADzvBTkfLdeErQz+i+9xPVHdmpc4lTUxcE5tOI6BW3bB08TIZ4rm81kftNRSD2m7jQQkxMpdjBctPiQA6apBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T00:18:17.676114Z","bundle_sha256":"580b19ebc4a7aa5e4c2fd603a754278ff42743eeed59d45df1f851d3d9277882"}}