{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SCUVDVTHUVQMSTZN6DZPC42E2O","short_pith_number":"pith:SCUVDVTH","canonical_record":{"source":{"id":"1812.02590","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-12-04T13:51:32Z","cross_cats_sorted":[],"title_canon_sha256":"9ef7edf631164006536fac3ca04ef2021f01bb7405d6b948f34da7c699ea9371","abstract_canon_sha256":"8723186fae36bd1af1cda0bcf221c2d75f7e2cb1e9a29e513a0424797c0c897e"},"schema_version":"1.0"},"canonical_sha256":"90a951d667a560c94f2df0f2f17344d3853c48d7d53597327d9ef73acc4e13fa","source":{"kind":"arxiv","id":"1812.02590","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02590","created_at":"2026-05-17T23:51:43Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02590v2","created_at":"2026-05-17T23:51:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02590","created_at":"2026-05-17T23:51:43Z"},{"alias_kind":"pith_short_12","alias_value":"SCUVDVTHUVQM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"SCUVDVTHUVQMSTZN","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"SCUVDVTH","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SCUVDVTHUVQMSTZN6DZPC42E2O","target":"record","payload":{"canonical_record":{"source":{"id":"1812.02590","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-12-04T13:51:32Z","cross_cats_sorted":[],"title_canon_sha256":"9ef7edf631164006536fac3ca04ef2021f01bb7405d6b948f34da7c699ea9371","abstract_canon_sha256":"8723186fae36bd1af1cda0bcf221c2d75f7e2cb1e9a29e513a0424797c0c897e"},"schema_version":"1.0"},"canonical_sha256":"90a951d667a560c94f2df0f2f17344d3853c48d7d53597327d9ef73acc4e13fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:43.637436Z","signature_b64":"YtXak8CG68dEHeFURQwTg9XK9WvAmiFODvaSm8lEiZIIcUF9dQJieOqXKqUkxJI80XmnEc5+FFJrKN1RKGuVBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90a951d667a560c94f2df0f2f17344d3853c48d7d53597327d9ef73acc4e13fa","last_reissued_at":"2026-05-17T23:51:43.636872Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:43.636872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.02590","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":"2026-05-17T23:51:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T18MjMB9pG2Z7Gqe9jytuwjtBViSZ+7wS0Lv5hJtGwlw32QJbyWZia0tGBEQzMXJNktd5kvy9AV9D/FvXmnPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:51:05.103755Z"},"content_sha256":"9ea1d03e15088aa1950b18ad062ec4383e84fe4bd5efc17320de6d739bec85d2","schema_version":"1.0","event_id":"sha256:9ea1d03e15088aa1950b18ad062ec4383e84fe4bd5efc17320de6d739bec85d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SCUVDVTHUVQMSTZN6DZPC42E2O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black Holes with MDRs and Bekenstein-Hawking and Perelman Entropies for Finsler-Lagrange-Hamilton Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Lauren\\c{t}iu Bubuianu, Sergiu I. Vacaru","submitted_at":"2018-12-04T13:51:32Z","abstract_excerpt":"New geometric and analytic methods for generating exact and parametric solutions in generalized Einstein-Finsler like gravity theories and nonholonomic Ricci soliton models are reviewed and developed. We show how generalizations of the Schwarzschild - (anti) de Sitter metric can be constructed for modified gravity theories with arbitrarily modified dispersion relations, MDRs, and Lorentz invariance violations, LIVs. Such theories can be geometrized on cotangent Lorentz bundles (phase spaces) as models of relativistic Finsler-Lagrange-Hamilton spaces. There are considered two general classes of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02590","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":"2026-05-17T23:51:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P9syDnRTssv6747eV6mQWYKaxzcSAW7yWIuy9io3vDaiLLXZ9X/91V+lcuKLP/aAEvhnU4v7SPWnoh0st1WpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:51:05.104097Z"},"content_sha256":"4f05f9a810596febfdc872e464b13a368ba76b2946fa36ed35b71ab193f28912","schema_version":"1.0","event_id":"sha256:4f05f9a810596febfdc872e464b13a368ba76b2946fa36ed35b71ab193f28912"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SCUVDVTHUVQMSTZN6DZPC42E2O/bundle.json","state_url":"https://pith.science/pith/SCUVDVTHUVQMSTZN6DZPC42E2O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SCUVDVTHUVQMSTZN6DZPC42E2O/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":"2026-06-02T21:51:05Z","links":{"resolver":"https://pith.science/pith/SCUVDVTHUVQMSTZN6DZPC42E2O","bundle":"https://pith.science/pith/SCUVDVTHUVQMSTZN6DZPC42E2O/bundle.json","state":"https://pith.science/pith/SCUVDVTHUVQMSTZN6DZPC42E2O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SCUVDVTHUVQMSTZN6DZPC42E2O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SCUVDVTHUVQMSTZN6DZPC42E2O","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":"8723186fae36bd1af1cda0bcf221c2d75f7e2cb1e9a29e513a0424797c0c897e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-12-04T13:51:32Z","title_canon_sha256":"9ef7edf631164006536fac3ca04ef2021f01bb7405d6b948f34da7c699ea9371"},"schema_version":"1.0","source":{"id":"1812.02590","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02590","created_at":"2026-05-17T23:51:43Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02590v2","created_at":"2026-05-17T23:51:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02590","created_at":"2026-05-17T23:51:43Z"},{"alias_kind":"pith_short_12","alias_value":"SCUVDVTHUVQM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"SCUVDVTHUVQMSTZN","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"SCUVDVTH","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:4f05f9a810596febfdc872e464b13a368ba76b2946fa36ed35b71ab193f28912","target":"graph","created_at":"2026-05-17T23:51:43Z","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":"New geometric and analytic methods for generating exact and parametric solutions in generalized Einstein-Finsler like gravity theories and nonholonomic Ricci soliton models are reviewed and developed. We show how generalizations of the Schwarzschild - (anti) de Sitter metric can be constructed for modified gravity theories with arbitrarily modified dispersion relations, MDRs, and Lorentz invariance violations, LIVs. Such theories can be geometrized on cotangent Lorentz bundles (phase spaces) as models of relativistic Finsler-Lagrange-Hamilton spaces. There are considered two general classes of","authors_text":"Lauren\\c{t}iu Bubuianu, Sergiu I. Vacaru","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-12-04T13:51:32Z","title":"Black Holes with MDRs and Bekenstein-Hawking and Perelman Entropies for Finsler-Lagrange-Hamilton Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02590","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":"sha256:9ea1d03e15088aa1950b18ad062ec4383e84fe4bd5efc17320de6d739bec85d2","target":"record","created_at":"2026-05-17T23:51:43Z","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":"8723186fae36bd1af1cda0bcf221c2d75f7e2cb1e9a29e513a0424797c0c897e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-12-04T13:51:32Z","title_canon_sha256":"9ef7edf631164006536fac3ca04ef2021f01bb7405d6b948f34da7c699ea9371"},"schema_version":"1.0","source":{"id":"1812.02590","kind":"arxiv","version":2}},"canonical_sha256":"90a951d667a560c94f2df0f2f17344d3853c48d7d53597327d9ef73acc4e13fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90a951d667a560c94f2df0f2f17344d3853c48d7d53597327d9ef73acc4e13fa","first_computed_at":"2026-05-17T23:51:43.636872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:43.636872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YtXak8CG68dEHeFURQwTg9XK9WvAmiFODvaSm8lEiZIIcUF9dQJieOqXKqUkxJI80XmnEc5+FFJrKN1RKGuVBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:43.637436Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.02590","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ea1d03e15088aa1950b18ad062ec4383e84fe4bd5efc17320de6d739bec85d2","sha256:4f05f9a810596febfdc872e464b13a368ba76b2946fa36ed35b71ab193f28912"],"state_sha256":"f021cbac20ef630da8ba2a99eeda55ba4ea7016990825301cb7ae49fd6a6bf2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FJVqmJxLSh0vK5Nt8ji9grpiuL1kdPiwhc7/Di0dISw0n2ZeVAQlVuKsO/+aZUv/cOp2KLknRIK7RxDgrE8DDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:51:05.105953Z","bundle_sha256":"7c2406acd0592fbbd5e634c3d65d20753419b5900844ebe441de56122e3281a8"}}