{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QI6QYJ4QH4LDIWSNNBVQVIG4KZ","short_pith_number":"pith:QI6QYJ4Q","canonical_record":{"source":{"id":"1108.2277","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-10T20:07:25Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f07de12ebd3a7c124e7efecaf87f3a2f18150b80bac5b894e8fa89b73eb559fe","abstract_canon_sha256":"3b5b25aeedac5174baba0f4e900b2f9afc4e5af496cc5d7badb15d4f84e2c738"},"schema_version":"1.0"},"canonical_sha256":"823d0c27903f16345a4d686b0aa0dc56478f47d508aafd4f7069a429ea1baa8c","source":{"kind":"arxiv","id":"1108.2277","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2277","created_at":"2026-05-18T04:08:03Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2277v2","created_at":"2026-05-18T04:08:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2277","created_at":"2026-05-18T04:08:03Z"},{"alias_kind":"pith_short_12","alias_value":"QI6QYJ4QH4LD","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QI6QYJ4QH4LDIWSN","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QI6QYJ4Q","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QI6QYJ4QH4LDIWSNNBVQVIG4KZ","target":"record","payload":{"canonical_record":{"source":{"id":"1108.2277","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-10T20:07:25Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f07de12ebd3a7c124e7efecaf87f3a2f18150b80bac5b894e8fa89b73eb559fe","abstract_canon_sha256":"3b5b25aeedac5174baba0f4e900b2f9afc4e5af496cc5d7badb15d4f84e2c738"},"schema_version":"1.0"},"canonical_sha256":"823d0c27903f16345a4d686b0aa0dc56478f47d508aafd4f7069a429ea1baa8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:03.549964Z","signature_b64":"xQGHtg/Xv2QpEPXHr9IFAVPMSjhZtaqXe3Oz3nZJGGOCiYtTj530yAJYB2zq9Q90CtcJ+29TNuy7CTSUDmuvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"823d0c27903f16345a4d686b0aa0dc56478f47d508aafd4f7069a429ea1baa8c","last_reissued_at":"2026-05-18T04:08:03.549491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:03.549491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.2277","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:08:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rr2CeFduzHxNosNKkDIV+fDPJBwbYMjIcZcr5s+mDl/MO8sRWqQpzZdwIoG1hGrpHXqHXh+CBu1zpnCqjf94DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T08:46:46.778719Z"},"content_sha256":"3a314052c4dc09b714dd2da59e5738fd37a35b9a7e88ecac1c297f7d9f7657e5","schema_version":"1.0","event_id":"sha256:3a314052c4dc09b714dd2da59e5738fd37a35b9a7e88ecac1c297f7d9f7657e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QI6QYJ4QH4LDIWSNNBVQVIG4KZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"No Bel-Robinson Tensor for Quadratic Curvature Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"J. Franklin, S. Deser","submitted_at":"2011-08-10T20:07:25Z","abstract_excerpt":"We attempt to generalize the familiar covariantly conserved Bel-Robinson tensor B_{mnab} ~ R R of GR and its recent topologically massive third derivative order counterpart B ~ RDR, to quadratic curvature actions. Two very different models of current interest are examined: fourth order D=3 \"new massive\", and second order D>4 Lanczos-Lovelock, gravity. On dimensional grounds, the candidates here become B ~ DRDR+RRR. For the D=3 model, there indeed exist conserved B ~ dRdR in the linearized limit. However, despite a plethora of available cubic terms, B cannot be extended to the full theory. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2277","kind":"arxiv","version":2},"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":"2026-05-18T04:08:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tDi7Ty9yiJs+UttHdiOD1uQ9XaOxgwO2oJoo2eAXai08s8DqIrgqYNOsCxLd9xTnEpUgM/HgVgCBlRRipNfwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T08:46:46.779375Z"},"content_sha256":"77d5a1710cd83d717f9bb6f6078e7837d090bf3bebc6a19cb64998e5f10c3adb","schema_version":"1.0","event_id":"sha256:77d5a1710cd83d717f9bb6f6078e7837d090bf3bebc6a19cb64998e5f10c3adb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QI6QYJ4QH4LDIWSNNBVQVIG4KZ/bundle.json","state_url":"https://pith.science/pith/QI6QYJ4QH4LDIWSNNBVQVIG4KZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QI6QYJ4QH4LDIWSNNBVQVIG4KZ/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":"2026-05-23T08:46:46Z","links":{"resolver":"https://pith.science/pith/QI6QYJ4QH4LDIWSNNBVQVIG4KZ","bundle":"https://pith.science/pith/QI6QYJ4QH4LDIWSNNBVQVIG4KZ/bundle.json","state":"https://pith.science/pith/QI6QYJ4QH4LDIWSNNBVQVIG4KZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QI6QYJ4QH4LDIWSNNBVQVIG4KZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QI6QYJ4QH4LDIWSNNBVQVIG4KZ","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":"3b5b25aeedac5174baba0f4e900b2f9afc4e5af496cc5d7badb15d4f84e2c738","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-10T20:07:25Z","title_canon_sha256":"f07de12ebd3a7c124e7efecaf87f3a2f18150b80bac5b894e8fa89b73eb559fe"},"schema_version":"1.0","source":{"id":"1108.2277","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2277","created_at":"2026-05-18T04:08:03Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2277v2","created_at":"2026-05-18T04:08:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2277","created_at":"2026-05-18T04:08:03Z"},{"alias_kind":"pith_short_12","alias_value":"QI6QYJ4QH4LD","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QI6QYJ4QH4LDIWSN","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QI6QYJ4Q","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:77d5a1710cd83d717f9bb6f6078e7837d090bf3bebc6a19cb64998e5f10c3adb","target":"graph","created_at":"2026-05-18T04:08:03Z","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":"We attempt to generalize the familiar covariantly conserved Bel-Robinson tensor B_{mnab} ~ R R of GR and its recent topologically massive third derivative order counterpart B ~ RDR, to quadratic curvature actions. Two very different models of current interest are examined: fourth order D=3 \"new massive\", and second order D>4 Lanczos-Lovelock, gravity. On dimensional grounds, the candidates here become B ~ DRDR+RRR. For the D=3 model, there indeed exist conserved B ~ dRdR in the linearized limit. However, despite a plethora of available cubic terms, B cannot be extended to the full theory. The ","authors_text":"J. Franklin, S. Deser","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-10T20:07:25Z","title":"No Bel-Robinson Tensor for Quadratic Curvature Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2277","kind":"arxiv","version":2},"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":"sha256:3a314052c4dc09b714dd2da59e5738fd37a35b9a7e88ecac1c297f7d9f7657e5","target":"record","created_at":"2026-05-18T04:08:03Z","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":"3b5b25aeedac5174baba0f4e900b2f9afc4e5af496cc5d7badb15d4f84e2c738","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-10T20:07:25Z","title_canon_sha256":"f07de12ebd3a7c124e7efecaf87f3a2f18150b80bac5b894e8fa89b73eb559fe"},"schema_version":"1.0","source":{"id":"1108.2277","kind":"arxiv","version":2}},"canonical_sha256":"823d0c27903f16345a4d686b0aa0dc56478f47d508aafd4f7069a429ea1baa8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"823d0c27903f16345a4d686b0aa0dc56478f47d508aafd4f7069a429ea1baa8c","first_computed_at":"2026-05-18T04:08:03.549491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:03.549491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xQGHtg/Xv2QpEPXHr9IFAVPMSjhZtaqXe3Oz3nZJGGOCiYtTj530yAJYB2zq9Q90CtcJ+29TNuy7CTSUDmuvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:03.549964Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.2277","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a314052c4dc09b714dd2da59e5738fd37a35b9a7e88ecac1c297f7d9f7657e5","sha256:77d5a1710cd83d717f9bb6f6078e7837d090bf3bebc6a19cb64998e5f10c3adb"],"state_sha256":"a37be86e76ed56112ca85528d5c0a520144d0356502e99f8ea5b6947024bb578"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MzEiVfrRy9tbIrlYlKliOaU62dj8HjPX6IL6nid6WH74NdR0tIE8p9jYB9jNOXfLdxS0K5ouBnmZXe4vRugnCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T08:46:46.783415Z","bundle_sha256":"b1771363a1430383013fd41c6d6728e4a8672f9d96c355b05c1ad86845cfae70"}}