{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FKVP4LZBWEWYVIHOWFADMTT2HS","short_pith_number":"pith:FKVP4LZB","canonical_record":{"source":{"id":"1312.6790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-24T10:42:40Z","cross_cats_sorted":["astro-ph.SR","hep-th"],"title_canon_sha256":"8d41aa2852a9ee42de0f3100ed14b3e1a48b46d23b39fe0d73c74983e78b5e23","abstract_canon_sha256":"ba4aee69bed585f0f7cbd6131ef3657822836c206d505a0e053d20340b0a0172"},"schema_version":"1.0"},"canonical_sha256":"2aaafe2f21b12d8aa0eeb140364e7a3cab2c401978fe4b67993e95287e0f825b","source":{"kind":"arxiv","id":"1312.6790","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6790","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6790v1","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6790","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"pith_short_12","alias_value":"FKVP4LZBWEWY","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FKVP4LZBWEWYVIHO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FKVP4LZB","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FKVP4LZBWEWYVIHOWFADMTT2HS","target":"record","payload":{"canonical_record":{"source":{"id":"1312.6790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-24T10:42:40Z","cross_cats_sorted":["astro-ph.SR","hep-th"],"title_canon_sha256":"8d41aa2852a9ee42de0f3100ed14b3e1a48b46d23b39fe0d73c74983e78b5e23","abstract_canon_sha256":"ba4aee69bed585f0f7cbd6131ef3657822836c206d505a0e053d20340b0a0172"},"schema_version":"1.0"},"canonical_sha256":"2aaafe2f21b12d8aa0eeb140364e7a3cab2c401978fe4b67993e95287e0f825b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:42.070279Z","signature_b64":"QmJjxCuBO6DywxkfYIBFI0h4hr0dxce4bDBEi6xzta9o437iI1iQoYjdfu1bfdHZsXYi5DR0fPZbXzHIh3Q+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aaafe2f21b12d8aa0eeb140364e7a3cab2c401978fe4b67993e95287e0f825b","last_reissued_at":"2026-05-18T01:45:42.069621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:42.069621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.6790","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:45:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WtsT8QfWzlDIEApQ4hyImyKn+YzKhsrU2LXhIoaqWX/Pd3509O/0O2CNxrqtqKgxxUu4Y8prgNdYh6v9iYi3Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:29:11.084203Z"},"content_sha256":"f2a057b206fa5120f5fc62cc1dd75bc9b2bdfb3d17db3cbd6f81790a3f85fa47","schema_version":"1.0","event_id":"sha256:f2a057b206fa5120f5fc62cc1dd75bc9b2bdfb3d17db3cbd6f81790a3f85fa47"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FKVP4LZBWEWYVIHOWFADMTT2HS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Jebsen-Birkhoff theorem and its stability in f(R) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR","hep-th"],"primary_cat":"gr-qc","authors_text":"Anne Marie Nzioki, Peter K. S. Dunsby, Rituparno Goswami","submitted_at":"2013-12-24T10:42:40Z","abstract_excerpt":"We prove a Jebsen-Birkhoff like theorem for f(R) theories of gravity in order to to find the necessary conditions required for the existence of the Schwarzschild solution in these theories and demonstrate that the rigidity of such solutions of f(R) gravity is valid even in the perturbed scenario."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6790","kind":"arxiv","version":1},"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":"2026-05-18T01:45:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dKtPmSvh2ARI/Un2YngRr2qHTghF7FiropaW9cTHWFcYE4OjI3wlIwF1fCH2mIaKD3iLlfdum39c/EBckNLHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:29:11.084576Z"},"content_sha256":"bf11515da531811cda371b61089030bc279bc50770c88d312ac9936699f931c9","schema_version":"1.0","event_id":"sha256:bf11515da531811cda371b61089030bc279bc50770c88d312ac9936699f931c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FKVP4LZBWEWYVIHOWFADMTT2HS/bundle.json","state_url":"https://pith.science/pith/FKVP4LZBWEWYVIHOWFADMTT2HS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FKVP4LZBWEWYVIHOWFADMTT2HS/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":"2026-06-02T00:29:11Z","links":{"resolver":"https://pith.science/pith/FKVP4LZBWEWYVIHOWFADMTT2HS","bundle":"https://pith.science/pith/FKVP4LZBWEWYVIHOWFADMTT2HS/bundle.json","state":"https://pith.science/pith/FKVP4LZBWEWYVIHOWFADMTT2HS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FKVP4LZBWEWYVIHOWFADMTT2HS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FKVP4LZBWEWYVIHOWFADMTT2HS","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":"ba4aee69bed585f0f7cbd6131ef3657822836c206d505a0e053d20340b0a0172","cross_cats_sorted":["astro-ph.SR","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-24T10:42:40Z","title_canon_sha256":"8d41aa2852a9ee42de0f3100ed14b3e1a48b46d23b39fe0d73c74983e78b5e23"},"schema_version":"1.0","source":{"id":"1312.6790","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6790","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6790v1","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6790","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"pith_short_12","alias_value":"FKVP4LZBWEWY","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FKVP4LZBWEWYVIHO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FKVP4LZB","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:bf11515da531811cda371b61089030bc279bc50770c88d312ac9936699f931c9","target":"graph","created_at":"2026-05-18T01:45:42Z","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 prove a Jebsen-Birkhoff like theorem for f(R) theories of gravity in order to to find the necessary conditions required for the existence of the Schwarzschild solution in these theories and demonstrate that the rigidity of such solutions of f(R) gravity is valid even in the perturbed scenario.","authors_text":"Anne Marie Nzioki, Peter K. S. Dunsby, Rituparno Goswami","cross_cats":["astro-ph.SR","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-24T10:42:40Z","title":"Jebsen-Birkhoff theorem and its stability in f(R) gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6790","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:f2a057b206fa5120f5fc62cc1dd75bc9b2bdfb3d17db3cbd6f81790a3f85fa47","target":"record","created_at":"2026-05-18T01:45:42Z","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":"ba4aee69bed585f0f7cbd6131ef3657822836c206d505a0e053d20340b0a0172","cross_cats_sorted":["astro-ph.SR","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-24T10:42:40Z","title_canon_sha256":"8d41aa2852a9ee42de0f3100ed14b3e1a48b46d23b39fe0d73c74983e78b5e23"},"schema_version":"1.0","source":{"id":"1312.6790","kind":"arxiv","version":1}},"canonical_sha256":"2aaafe2f21b12d8aa0eeb140364e7a3cab2c401978fe4b67993e95287e0f825b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2aaafe2f21b12d8aa0eeb140364e7a3cab2c401978fe4b67993e95287e0f825b","first_computed_at":"2026-05-18T01:45:42.069621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:42.069621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QmJjxCuBO6DywxkfYIBFI0h4hr0dxce4bDBEi6xzta9o437iI1iQoYjdfu1bfdHZsXYi5DR0fPZbXzHIh3Q+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:42.070279Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6790","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2a057b206fa5120f5fc62cc1dd75bc9b2bdfb3d17db3cbd6f81790a3f85fa47","sha256:bf11515da531811cda371b61089030bc279bc50770c88d312ac9936699f931c9"],"state_sha256":"dd238b84184f257285d66aeed122162a593755415a5893af3032d3698229f6da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u1kkg6XOqDybtEI6Y3t5VCoMbiaxsE7bEohhW4l/tP1ZIV0gJWMwMfGDGo5RMR9cCvMudpwZI6s3F4tD0NEoCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:29:11.086659Z","bundle_sha256":"ae4f67b2ff697ea433c431a309c56f4c51ca84c7e841234e9ba2fe1251ecc799"}}