{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:KATT7FY3N2K7PSSPI5HUF5QKYQ","short_pith_number":"pith:KATT7FY3","canonical_record":{"source":{"id":"1004.3007","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-18T10:06:35Z","cross_cats_sorted":["astro-ph.CO","gr-qc","math.MP"],"title_canon_sha256":"6fbcd45a768862a431572c83a5c357d3ecd9194a0197da36ec6cd90029f82d94","abstract_canon_sha256":"7c819b50e5a1989e11c212e705235ce78c00557fc02ac41c1f3cbb511e8d87a1"},"schema_version":"1.0"},"canonical_sha256":"50273f971b6e95f7ca4f474f42f60ac43fd9f859f1293567a9bf925c292763a9","source":{"kind":"arxiv","id":"1004.3007","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3007","created_at":"2026-05-18T03:30:55Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3007v3","created_at":"2026-05-18T03:30:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3007","created_at":"2026-05-18T03:30:55Z"},{"alias_kind":"pith_short_12","alias_value":"KATT7FY3N2K7","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KATT7FY3N2K7PSSP","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KATT7FY3","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:KATT7FY3N2K7PSSPI5HUF5QKYQ","target":"record","payload":{"canonical_record":{"source":{"id":"1004.3007","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-18T10:06:35Z","cross_cats_sorted":["astro-ph.CO","gr-qc","math.MP"],"title_canon_sha256":"6fbcd45a768862a431572c83a5c357d3ecd9194a0197da36ec6cd90029f82d94","abstract_canon_sha256":"7c819b50e5a1989e11c212e705235ce78c00557fc02ac41c1f3cbb511e8d87a1"},"schema_version":"1.0"},"canonical_sha256":"50273f971b6e95f7ca4f474f42f60ac43fd9f859f1293567a9bf925c292763a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:55.736693Z","signature_b64":"UXDJ2X4+lxwFZNR5ZvqstCiNlFOa2RTU3yaHbqNCBJ95D9SFEl8IVdNzu4j+IHEfQa5Vaf3N27NBGRrbQeo6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50273f971b6e95f7ca4f474f42f60ac43fd9f859f1293567a9bf925c292763a9","last_reissued_at":"2026-05-18T03:30:55.735987Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:55.735987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.3007","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":"2026-05-18T03:30:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GduDqA0f5w0dirBPX5m/gqB6H+HgkSfSU1BkK9L1C71WQa7FsiuuYkuKzVlhDw5jXmt+fdeddm20CPf+F9QSDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:45:50.917527Z"},"content_sha256":"f1ce8dba56f56dedf2bfd31cb7c350712577a2e11557e24803af70964e143c74","schema_version":"1.0","event_id":"sha256:f1ce8dba56f56dedf2bfd31cb7c350712577a2e11557e24803af70964e143c74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:KATT7FY3N2K7PSSPI5HUF5QKYQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Principles of Einstein-Finsler Gravity and Perspectives in Modern Cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","math.MP"],"primary_cat":"math-ph","authors_text":"Sergiu I. Vacaru","submitted_at":"2010-04-18T10:06:35Z","abstract_excerpt":"We study the geometric and physical foundations of Finsler gravity theories with metric compatible connections defined on tangent bundles, or (pseudo) Riemannian manifolds). There are analyzed alternatives to Einstein gravity (including theories with broken local Lorentz invariance) and shown how general relativity and modifications can be equivalently re-formulated in Finsler like variables. We focus on prospects in modern cosmology and Finsler acceleration of Universe. All known formalisms are outlined - anholonomic frames with associated nonlinear connection structure, the geometry of the L"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3007","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":"2026-05-18T03:30:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ad2ooKaHTPULu3KB14Bt0Hv+rk+h7OT/wIjhzd2O2q9K2MtuRX760YFKIedYFj/k/WZheroC5FZfMF6pBhbgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:45:50.918399Z"},"content_sha256":"e41de3b911534a037e608ad3740e0a440b44a39f0984f2ebf6b9427748a3cdd9","schema_version":"1.0","event_id":"sha256:e41de3b911534a037e608ad3740e0a440b44a39f0984f2ebf6b9427748a3cdd9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KATT7FY3N2K7PSSPI5HUF5QKYQ/bundle.json","state_url":"https://pith.science/pith/KATT7FY3N2K7PSSPI5HUF5QKYQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KATT7FY3N2K7PSSPI5HUF5QKYQ/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":"2026-08-04T13:45:50Z","links":{"resolver":"https://pith.science/pith/KATT7FY3N2K7PSSPI5HUF5QKYQ","bundle":"https://pith.science/pith/KATT7FY3N2K7PSSPI5HUF5QKYQ/bundle.json","state":"https://pith.science/pith/KATT7FY3N2K7PSSPI5HUF5QKYQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KATT7FY3N2K7PSSPI5HUF5QKYQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KATT7FY3N2K7PSSPI5HUF5QKYQ","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":"7c819b50e5a1989e11c212e705235ce78c00557fc02ac41c1f3cbb511e8d87a1","cross_cats_sorted":["astro-ph.CO","gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-18T10:06:35Z","title_canon_sha256":"6fbcd45a768862a431572c83a5c357d3ecd9194a0197da36ec6cd90029f82d94"},"schema_version":"1.0","source":{"id":"1004.3007","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3007","created_at":"2026-05-18T03:30:55Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3007v3","created_at":"2026-05-18T03:30:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3007","created_at":"2026-05-18T03:30:55Z"},{"alias_kind":"pith_short_12","alias_value":"KATT7FY3N2K7","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KATT7FY3N2K7PSSP","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KATT7FY3","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:e41de3b911534a037e608ad3740e0a440b44a39f0984f2ebf6b9427748a3cdd9","target":"graph","created_at":"2026-05-18T03:30:55Z","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 study the geometric and physical foundations of Finsler gravity theories with metric compatible connections defined on tangent bundles, or (pseudo) Riemannian manifolds). There are analyzed alternatives to Einstein gravity (including theories with broken local Lorentz invariance) and shown how general relativity and modifications can be equivalently re-formulated in Finsler like variables. We focus on prospects in modern cosmology and Finsler acceleration of Universe. All known formalisms are outlined - anholonomic frames with associated nonlinear connection structure, the geometry of the L","authors_text":"Sergiu I. Vacaru","cross_cats":["astro-ph.CO","gr-qc","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-18T10:06:35Z","title":"Principles of Einstein-Finsler Gravity and Perspectives in Modern Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3007","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:f1ce8dba56f56dedf2bfd31cb7c350712577a2e11557e24803af70964e143c74","target":"record","created_at":"2026-05-18T03:30:55Z","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":"7c819b50e5a1989e11c212e705235ce78c00557fc02ac41c1f3cbb511e8d87a1","cross_cats_sorted":["astro-ph.CO","gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-18T10:06:35Z","title_canon_sha256":"6fbcd45a768862a431572c83a5c357d3ecd9194a0197da36ec6cd90029f82d94"},"schema_version":"1.0","source":{"id":"1004.3007","kind":"arxiv","version":3}},"canonical_sha256":"50273f971b6e95f7ca4f474f42f60ac43fd9f859f1293567a9bf925c292763a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50273f971b6e95f7ca4f474f42f60ac43fd9f859f1293567a9bf925c292763a9","first_computed_at":"2026-05-18T03:30:55.735987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:55.735987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UXDJ2X4+lxwFZNR5ZvqstCiNlFOa2RTU3yaHbqNCBJ95D9SFEl8IVdNzu4j+IHEfQa5Vaf3N27NBGRrbQeo6Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:55.736693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.3007","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1ce8dba56f56dedf2bfd31cb7c350712577a2e11557e24803af70964e143c74","sha256:e41de3b911534a037e608ad3740e0a440b44a39f0984f2ebf6b9427748a3cdd9"],"state_sha256":"f7dd1530700869dd30079054f0464fd5316c92f045d25ba78865a9c59ab12f02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3+eB3PpZHxFCnPEGxkclgQy4hoJpyXPo7Y3HGDqcrtvnGX4YSc30RT/GRATmnoguPUNyltpQ+y0CY3JHwnFZCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T13:45:50.924107Z","bundle_sha256":"3d26c48f8d4c471474b4c2a3a12e0685bdcfbe6afa6838504a1e4807915b61e4"}}