{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:GUXV4QYJNAPLYGFAGD4LR3PPCW","short_pith_number":"pith:GUXV4QYJ","canonical_record":{"source":{"id":"0812.1344","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-12-07T13:17:31Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9736013b3f58addba6efe5477b99475e564d96cf73f39003ea7445843cc358a6","abstract_canon_sha256":"5d2bd7e0f13c24073f51ded90ea4cb9cc5259aba5cfbde8ad16155db0b1c6dbf"},"schema_version":"1.0"},"canonical_sha256":"352f5e4309681ebc18a030f8b8edef159e11d5cecfe2d178e5208782587d5b1c","source":{"kind":"arxiv","id":"0812.1344","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.1344","created_at":"2026-05-18T04:21:21Z"},{"alias_kind":"arxiv_version","alias_value":"0812.1344v3","created_at":"2026-05-18T04:21:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1344","created_at":"2026-05-18T04:21:21Z"},{"alias_kind":"pith_short_12","alias_value":"GUXV4QYJNAPL","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"GUXV4QYJNAPLYGFA","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"GUXV4QYJ","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:GUXV4QYJNAPLYGFAGD4LR3PPCW","target":"record","payload":{"canonical_record":{"source":{"id":"0812.1344","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-12-07T13:17:31Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9736013b3f58addba6efe5477b99475e564d96cf73f39003ea7445843cc358a6","abstract_canon_sha256":"5d2bd7e0f13c24073f51ded90ea4cb9cc5259aba5cfbde8ad16155db0b1c6dbf"},"schema_version":"1.0"},"canonical_sha256":"352f5e4309681ebc18a030f8b8edef159e11d5cecfe2d178e5208782587d5b1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:21.598190Z","signature_b64":"Vz4/42B3UpMh7Hl/84apnWPNM27harnUjCzpZAXeh5E62xBg9YZMKLqN+9F5wCf1fcHTaNVa/lus1V1hjdIdDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"352f5e4309681ebc18a030f8b8edef159e11d5cecfe2d178e5208782587d5b1c","last_reissued_at":"2026-05-18T04:21:21.597768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:21.597768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.1344","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:21:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8lIBc9eorStISqSz9DaeLvV2iV4XUbaJwzUWpmkZPT4pT1GLCTgWEd8FXIUeL0C7/e7EfFj66hrf0DqbeV6yAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:12:34.497877Z"},"content_sha256":"10f6960a8296f0acb1a09c6a6156125c8a2a6cd9de00cc9d2da576c7623ddf78","schema_version":"1.0","event_id":"sha256:10f6960a8296f0acb1a09c6a6156125c8a2a6cd9de00cc9d2da576c7623ddf78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:GUXV4QYJNAPLYGFAGD4LR3PPCW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On relevance of modified gravities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"I.L. Zhogin","submitted_at":"2008-12-07T13:17:31Z","abstract_excerpt":"It is shown that modified gravity theories with a Lagrangian composed of the three quadratic invariants of the Riemann curvature tensor are not appropriate. The field equations are either incompatible and/or irregular [like f(R)-gravities], or, if compatible, lead to the linear instability of polarizations relating to the Weyl tensor.\n  A more relevant modification is the frame field theory, namely the best and unique variant of Absolute Parallelism; it has no free parameters (D=5 is a must) and no singularities arising in solutions. I sketch few remarkable features of this theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1344","kind":"arxiv","version":3},"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":"2026-05-18T04:21:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kk6cibOOS5H/nGTcQoVe3/HYOcXQMjhyOu/gP8+htIQg9+/DhpIoaB0jHGTfG+IDxeXNNrp5WnyDomWAtvJVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:12:34.498509Z"},"content_sha256":"6175ee1c3770249211a8df8c0f7c35d1dbdb4adf3383ed16398a2575ada0f508","schema_version":"1.0","event_id":"sha256:6175ee1c3770249211a8df8c0f7c35d1dbdb4adf3383ed16398a2575ada0f508"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GUXV4QYJNAPLYGFAGD4LR3PPCW/bundle.json","state_url":"https://pith.science/pith/GUXV4QYJNAPLYGFAGD4LR3PPCW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GUXV4QYJNAPLYGFAGD4LR3PPCW/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":"2026-05-27T01:12:34Z","links":{"resolver":"https://pith.science/pith/GUXV4QYJNAPLYGFAGD4LR3PPCW","bundle":"https://pith.science/pith/GUXV4QYJNAPLYGFAGD4LR3PPCW/bundle.json","state":"https://pith.science/pith/GUXV4QYJNAPLYGFAGD4LR3PPCW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GUXV4QYJNAPLYGFAGD4LR3PPCW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:GUXV4QYJNAPLYGFAGD4LR3PPCW","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":"5d2bd7e0f13c24073f51ded90ea4cb9cc5259aba5cfbde8ad16155db0b1c6dbf","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-12-07T13:17:31Z","title_canon_sha256":"9736013b3f58addba6efe5477b99475e564d96cf73f39003ea7445843cc358a6"},"schema_version":"1.0","source":{"id":"0812.1344","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.1344","created_at":"2026-05-18T04:21:21Z"},{"alias_kind":"arxiv_version","alias_value":"0812.1344v3","created_at":"2026-05-18T04:21:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1344","created_at":"2026-05-18T04:21:21Z"},{"alias_kind":"pith_short_12","alias_value":"GUXV4QYJNAPL","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"GUXV4QYJNAPLYGFA","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"GUXV4QYJ","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:6175ee1c3770249211a8df8c0f7c35d1dbdb4adf3383ed16398a2575ada0f508","target":"graph","created_at":"2026-05-18T04:21:21Z","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":"It is shown that modified gravity theories with a Lagrangian composed of the three quadratic invariants of the Riemann curvature tensor are not appropriate. The field equations are either incompatible and/or irregular [like f(R)-gravities], or, if compatible, lead to the linear instability of polarizations relating to the Weyl tensor.\n  A more relevant modification is the frame field theory, namely the best and unique variant of Absolute Parallelism; it has no free parameters (D=5 is a must) and no singularities arising in solutions. I sketch few remarkable features of this theory.","authors_text":"I.L. Zhogin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-12-07T13:17:31Z","title":"On relevance of modified gravities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1344","kind":"arxiv","version":3},"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":"sha256:10f6960a8296f0acb1a09c6a6156125c8a2a6cd9de00cc9d2da576c7623ddf78","target":"record","created_at":"2026-05-18T04:21:21Z","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":"5d2bd7e0f13c24073f51ded90ea4cb9cc5259aba5cfbde8ad16155db0b1c6dbf","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-12-07T13:17:31Z","title_canon_sha256":"9736013b3f58addba6efe5477b99475e564d96cf73f39003ea7445843cc358a6"},"schema_version":"1.0","source":{"id":"0812.1344","kind":"arxiv","version":3}},"canonical_sha256":"352f5e4309681ebc18a030f8b8edef159e11d5cecfe2d178e5208782587d5b1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"352f5e4309681ebc18a030f8b8edef159e11d5cecfe2d178e5208782587d5b1c","first_computed_at":"2026-05-18T04:21:21.597768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:21.597768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vz4/42B3UpMh7Hl/84apnWPNM27harnUjCzpZAXeh5E62xBg9YZMKLqN+9F5wCf1fcHTaNVa/lus1V1hjdIdDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:21.598190Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.1344","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10f6960a8296f0acb1a09c6a6156125c8a2a6cd9de00cc9d2da576c7623ddf78","sha256:6175ee1c3770249211a8df8c0f7c35d1dbdb4adf3383ed16398a2575ada0f508"],"state_sha256":"a8cdda29bf2c31aa9066ca25f256e023fdb42788d5522dad2739c5cc06c58eea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IF74AoA5erzzNE5Lkp1ZqWFNGJA7RD6Q5i6WFW7FSla6ixW3FS5o5KqAwDpT3MqrIP5QgzpcCMuSj3a6K7OEDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:12:34.502059Z","bundle_sha256":"ac1a57d12419314a222b086fbe72b3c6c34239deab6f628b724dc8a1e2b3e839"}}