{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZSIIMXUWSVJBIRA7T3VIVA7RDL","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":"622cda0d1dd90a29093e6227a5f886e42608a3c3bfb4185a0278e7447c5778ee","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-02T13:41:10Z","title_canon_sha256":"b88ab36763c87f48b5ab0eeaf000af9a8b2f6a6134314c059a6cb0c4ad71ab70"},"schema_version":"1.0","source":{"id":"1511.00495","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00495","created_at":"2026-05-18T01:18:41Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00495v1","created_at":"2026-05-18T01:18:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00495","created_at":"2026-05-18T01:18:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZSIIMXUWSVJB","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZSIIMXUWSVJBIRA7","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZSIIMXUW","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:72accf634a56fefea7a221fe1451220e9673df4fe9538ed991adec8ef07014fa","target":"graph","created_at":"2026-05-18T01:18:41Z","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 investigate all feasible mathematical representations of disformal transformations on a space-time metric according to the action of a linear operator upon the manifold's tangent and cotangent bundles. The geometric, algebraic and group structures of this operator and their interfaces are analyzed in detail. Then, we scrutinize a possible physical application, providing a new covariant formalism for a phenomenological approach to quantum gravity known as Rainbow Gravity.","authors_text":"Eduardo Bittencourt, Gabriel G. Carvalho, Iarley P. Lobo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-02T13:41:10Z","title":"Extended disformal approach in the scenario of Rainbow Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00495","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:f35773d7fd0b5cb58515c00b3b7c6ffd4350242129e8db09409c61d72f764ddf","target":"record","created_at":"2026-05-18T01:18:41Z","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":"622cda0d1dd90a29093e6227a5f886e42608a3c3bfb4185a0278e7447c5778ee","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-02T13:41:10Z","title_canon_sha256":"b88ab36763c87f48b5ab0eeaf000af9a8b2f6a6134314c059a6cb0c4ad71ab70"},"schema_version":"1.0","source":{"id":"1511.00495","kind":"arxiv","version":1}},"canonical_sha256":"cc90865e96955214441f9eea8a83f11ad9360358fdb58946c0965fee3e476b25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc90865e96955214441f9eea8a83f11ad9360358fdb58946c0965fee3e476b25","first_computed_at":"2026-05-18T01:18:41.892962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:41.892962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MMgaij2z/FBjbIBNobwP0GLXcyzWFs/EGTdrsND5cK/87Zod2TP6VCpx5QecwbwZGWH12MnFCRgUK0hCGgdYDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:41.893823Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00495","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f35773d7fd0b5cb58515c00b3b7c6ffd4350242129e8db09409c61d72f764ddf","sha256:72accf634a56fefea7a221fe1451220e9673df4fe9538ed991adec8ef07014fa"],"state_sha256":"3f7da437e5fceb53d4610c54df0cfea500c4e3e2906e4f88ddbeec33154c325b"}