{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XGKOLCVHDG3B4KN3MVTJ2BSSEY","short_pith_number":"pith:XGKOLCVH","canonical_record":{"source":{"id":"1110.0094","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-01T12:00:32Z","cross_cats_sorted":[],"title_canon_sha256":"f44ae71fac9d80fb46710d34a8c4d06608d4e2e73235abe3458c951cd6110372","abstract_canon_sha256":"21a282dd9df05333459425d6a9ed37f575685c0a8bd93f5b6f40cb1ea12af614"},"schema_version":"1.0"},"canonical_sha256":"b994e58aa719b61e29bb65669d0652262a2802cdd8682e56e00dd04615a4db7f","source":{"kind":"arxiv","id":"1110.0094","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0094","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0094v2","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0094","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"XGKOLCVHDG3B","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XGKOLCVHDG3B4KN3","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XGKOLCVH","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XGKOLCVHDG3B4KN3MVTJ2BSSEY","target":"record","payload":{"canonical_record":{"source":{"id":"1110.0094","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-01T12:00:32Z","cross_cats_sorted":[],"title_canon_sha256":"f44ae71fac9d80fb46710d34a8c4d06608d4e2e73235abe3458c951cd6110372","abstract_canon_sha256":"21a282dd9df05333459425d6a9ed37f575685c0a8bd93f5b6f40cb1ea12af614"},"schema_version":"1.0"},"canonical_sha256":"b994e58aa719b61e29bb65669d0652262a2802cdd8682e56e00dd04615a4db7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:44.821675Z","signature_b64":"O+bZ1jhhRsve/DXsolnFsi5PCaHwFHfG5kxZJb2lfNXDnbPFJL0uQ2NGgiUfFAfgIY0/sooEnVCvNbcakzfrDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b994e58aa719b61e29bb65669d0652262a2802cdd8682e56e00dd04615a4db7f","last_reissued_at":"2026-05-18T01:03:44.821248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:44.821248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.0094","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":"2026-05-18T01:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PV0azOT44MGHHQYcHKhEhqZ5DcWAgsxXMHIeiRYW+Nirq3RfLMgi5Aqtk4Vpvlv061goqAv/YfMYFw7poLxLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:02:33.115052Z"},"content_sha256":"720bdbd8ad073cf8b138102db199b90a0831f6e880e54b5de283efacb896a53c","schema_version":"1.0","event_id":"sha256:720bdbd8ad073cf8b138102db199b90a0831f6e880e54b5de283efacb896a53c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XGKOLCVHDG3B4KN3MVTJ2BSSEY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Colliding plane wave solution in F(R)=R^{N} gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Halilsoy, S. Habib Mazharimousavi, T. Tahamtan","submitted_at":"2011-10-01T12:00:32Z","abstract_excerpt":"We identify a region of F(R)=R^{N} gravity without external sources which is isometric to the spacetime of colliding plane waves (CPW). From the derived curvature sources, N (N>1) measures the strength (i.e. the charge) of the source. The analogy renders construction and collision of plane waves in F(R)=R^{N} gravity possible, as in the Einstein-Maxwell (EM) theory, simply because R=0. A plane wave in this type of gravity is equivalent to a Weyl curvature plus an electromagnetic energy-momentum-like term (i.e. 'source without source'). For N=1 we recover naturally the plane waves (and their co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0094","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":"2026-05-18T01:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0p//RzwDXDqCZX9lYnI0Mn71S9uxChfkvzsCJEJmLMPQe/0H+O4HCt/fXXOb3YUOCMX6EI1VZLQBua9VrAbiBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:02:33.115408Z"},"content_sha256":"cd234e25e5a4fe2cd2e1fd0c1cf8d186b5a74b02577bb27eeb67840781363be0","schema_version":"1.0","event_id":"sha256:cd234e25e5a4fe2cd2e1fd0c1cf8d186b5a74b02577bb27eeb67840781363be0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XGKOLCVHDG3B4KN3MVTJ2BSSEY/bundle.json","state_url":"https://pith.science/pith/XGKOLCVHDG3B4KN3MVTJ2BSSEY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XGKOLCVHDG3B4KN3MVTJ2BSSEY/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":"2026-06-02T05:02:33Z","links":{"resolver":"https://pith.science/pith/XGKOLCVHDG3B4KN3MVTJ2BSSEY","bundle":"https://pith.science/pith/XGKOLCVHDG3B4KN3MVTJ2BSSEY/bundle.json","state":"https://pith.science/pith/XGKOLCVHDG3B4KN3MVTJ2BSSEY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XGKOLCVHDG3B4KN3MVTJ2BSSEY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XGKOLCVHDG3B4KN3MVTJ2BSSEY","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":"21a282dd9df05333459425d6a9ed37f575685c0a8bd93f5b6f40cb1ea12af614","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-01T12:00:32Z","title_canon_sha256":"f44ae71fac9d80fb46710d34a8c4d06608d4e2e73235abe3458c951cd6110372"},"schema_version":"1.0","source":{"id":"1110.0094","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0094","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0094v2","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0094","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"XGKOLCVHDG3B","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XGKOLCVHDG3B4KN3","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XGKOLCVH","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:cd234e25e5a4fe2cd2e1fd0c1cf8d186b5a74b02577bb27eeb67840781363be0","target":"graph","created_at":"2026-05-18T01:03:44Z","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 identify a region of F(R)=R^{N} gravity without external sources which is isometric to the spacetime of colliding plane waves (CPW). From the derived curvature sources, N (N>1) measures the strength (i.e. the charge) of the source. The analogy renders construction and collision of plane waves in F(R)=R^{N} gravity possible, as in the Einstein-Maxwell (EM) theory, simply because R=0. A plane wave in this type of gravity is equivalent to a Weyl curvature plus an electromagnetic energy-momentum-like term (i.e. 'source without source'). For N=1 we recover naturally the plane waves (and their co","authors_text":"M. Halilsoy, S. Habib Mazharimousavi, T. Tahamtan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-01T12:00:32Z","title":"Colliding plane wave solution in F(R)=R^{N} gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0094","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":"sha256:720bdbd8ad073cf8b138102db199b90a0831f6e880e54b5de283efacb896a53c","target":"record","created_at":"2026-05-18T01:03:44Z","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":"21a282dd9df05333459425d6a9ed37f575685c0a8bd93f5b6f40cb1ea12af614","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-01T12:00:32Z","title_canon_sha256":"f44ae71fac9d80fb46710d34a8c4d06608d4e2e73235abe3458c951cd6110372"},"schema_version":"1.0","source":{"id":"1110.0094","kind":"arxiv","version":2}},"canonical_sha256":"b994e58aa719b61e29bb65669d0652262a2802cdd8682e56e00dd04615a4db7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b994e58aa719b61e29bb65669d0652262a2802cdd8682e56e00dd04615a4db7f","first_computed_at":"2026-05-18T01:03:44.821248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:44.821248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O+bZ1jhhRsve/DXsolnFsi5PCaHwFHfG5kxZJb2lfNXDnbPFJL0uQ2NGgiUfFAfgIY0/sooEnVCvNbcakzfrDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:44.821675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.0094","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:720bdbd8ad073cf8b138102db199b90a0831f6e880e54b5de283efacb896a53c","sha256:cd234e25e5a4fe2cd2e1fd0c1cf8d186b5a74b02577bb27eeb67840781363be0"],"state_sha256":"845a8bb66887a52ed6dabb7a226586be3d7502fb7996a4369baa868b17efdcee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4SdNtWDDmIKw7QafCHkWjOW2hjXkVK8uXqnQCAGRErQNf064Ihe8MR8zDj8eCh8MQwwWgaQNr6wzSFqJm+X1DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:02:33.117448Z","bundle_sha256":"8e68c9197e1ea75dc84673e5585c2947673eb818d3c36a7cb1cc60c435f25877"}}