{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DMNB5BC4NK5C254PHAVFGFOO7F","short_pith_number":"pith:DMNB5BC4","canonical_record":{"source":{"id":"1509.03827","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-13T09:28:22Z","cross_cats_sorted":[],"title_canon_sha256":"74cf809c64d4c987cca6cc79444a4c6f5f0997da77ccda0bd322e5fee1962c86","abstract_canon_sha256":"4efbe0abbe20b2084154218f5e005c79462857d7ae013f9688c472e2b6fc9de5"},"schema_version":"1.0"},"canonical_sha256":"1b1a1e845c6aba2d778f382a5315cef952ef7e0c6aab206f1eb73233556091eb","source":{"kind":"arxiv","id":"1509.03827","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03827","created_at":"2026-05-18T01:22:36Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03827v2","created_at":"2026-05-18T01:22:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03827","created_at":"2026-05-18T01:22:36Z"},{"alias_kind":"pith_short_12","alias_value":"DMNB5BC4NK5C","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DMNB5BC4NK5C254P","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DMNB5BC4","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DMNB5BC4NK5C254PHAVFGFOO7F","target":"record","payload":{"canonical_record":{"source":{"id":"1509.03827","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-13T09:28:22Z","cross_cats_sorted":[],"title_canon_sha256":"74cf809c64d4c987cca6cc79444a4c6f5f0997da77ccda0bd322e5fee1962c86","abstract_canon_sha256":"4efbe0abbe20b2084154218f5e005c79462857d7ae013f9688c472e2b6fc9de5"},"schema_version":"1.0"},"canonical_sha256":"1b1a1e845c6aba2d778f382a5315cef952ef7e0c6aab206f1eb73233556091eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:36.325331Z","signature_b64":"dQDYqvyz9XfSTmkVJOsovvIqPexglG3qg6O+4TcWTi1Xj0ca4Few4nIz7dBHrQ08sF9q1qxZ6BH0usHMLcZgBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b1a1e845c6aba2d778f382a5315cef952ef7e0c6aab206f1eb73233556091eb","last_reissued_at":"2026-05-18T01:22:36.324912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:36.324912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.03827","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":"2026-05-18T01:22:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZDsWbjpdjrB1+Fy3740OhNHudBHpTB0Q0pgSF2hCutsOnvkKZLw8+KG59hh/qcnm571RREmOjUxdj7qDdIKmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:12:39.386562Z"},"content_sha256":"58bf885bd83760fe64d5856b0b1187fd388362ca34f84ad4994706e12a15ee7f","schema_version":"1.0","event_id":"sha256:58bf885bd83760fe64d5856b0b1187fd388362ca34f84ad4994706e12a15ee7f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DMNB5BC4NK5C254PHAVFGFOO7F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Motion of test particles in the field of a naked singularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. C. Gutierrez-Pineres, E. Gasperin, H. Quevedo, K. Boshkayev, S. Toktarbay","submitted_at":"2015-09-13T09:28:22Z","abstract_excerpt":"We investigate the motion of test particles in the gravitational field of a static naked singularity generated by a mass distribution with quadrupole moment. We use the quadrupole-metric ($q-$metric) which is the simplest generalization of the Schwarzschild metric with a quadrupole parameter. We study the influence of the quadrupole on the motion of massive test particles and photons and show that the behavior of the geodesics can drastically depend on the values of the quadrupole parameter. In particular, we prove explicitly that the perihelion distance depends on the value of the quadrupole."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03827","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":"2026-05-18T01:22:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RvCMQ0+2NtmuB0/p2qLvtIONwgytLGHzhD4RLrVj0j7z9W2gU6fHmS2aPZLjUBuB2/Xs6FVjVL0g4PlOUsS+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:12:39.386909Z"},"content_sha256":"252f126fed10fb91b2f803f6e497cef2c177840f74e1dc1e36998d73ddf50b01","schema_version":"1.0","event_id":"sha256:252f126fed10fb91b2f803f6e497cef2c177840f74e1dc1e36998d73ddf50b01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DMNB5BC4NK5C254PHAVFGFOO7F/bundle.json","state_url":"https://pith.science/pith/DMNB5BC4NK5C254PHAVFGFOO7F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DMNB5BC4NK5C254PHAVFGFOO7F/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":"2026-06-27T18:12:39Z","links":{"resolver":"https://pith.science/pith/DMNB5BC4NK5C254PHAVFGFOO7F","bundle":"https://pith.science/pith/DMNB5BC4NK5C254PHAVFGFOO7F/bundle.json","state":"https://pith.science/pith/DMNB5BC4NK5C254PHAVFGFOO7F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DMNB5BC4NK5C254PHAVFGFOO7F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DMNB5BC4NK5C254PHAVFGFOO7F","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":"4efbe0abbe20b2084154218f5e005c79462857d7ae013f9688c472e2b6fc9de5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-13T09:28:22Z","title_canon_sha256":"74cf809c64d4c987cca6cc79444a4c6f5f0997da77ccda0bd322e5fee1962c86"},"schema_version":"1.0","source":{"id":"1509.03827","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03827","created_at":"2026-05-18T01:22:36Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03827v2","created_at":"2026-05-18T01:22:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03827","created_at":"2026-05-18T01:22:36Z"},{"alias_kind":"pith_short_12","alias_value":"DMNB5BC4NK5C","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DMNB5BC4NK5C254P","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DMNB5BC4","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:252f126fed10fb91b2f803f6e497cef2c177840f74e1dc1e36998d73ddf50b01","target":"graph","created_at":"2026-05-18T01:22:36Z","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 the motion of test particles in the gravitational field of a static naked singularity generated by a mass distribution with quadrupole moment. We use the quadrupole-metric ($q-$metric) which is the simplest generalization of the Schwarzschild metric with a quadrupole parameter. We study the influence of the quadrupole on the motion of massive test particles and photons and show that the behavior of the geodesics can drastically depend on the values of the quadrupole parameter. In particular, we prove explicitly that the perihelion distance depends on the value of the quadrupole.","authors_text":"A. C. Gutierrez-Pineres, E. Gasperin, H. Quevedo, K. Boshkayev, S. Toktarbay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-13T09:28:22Z","title":"Motion of test particles in the field of a naked singularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03827","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":"sha256:58bf885bd83760fe64d5856b0b1187fd388362ca34f84ad4994706e12a15ee7f","target":"record","created_at":"2026-05-18T01:22:36Z","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":"4efbe0abbe20b2084154218f5e005c79462857d7ae013f9688c472e2b6fc9de5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-13T09:28:22Z","title_canon_sha256":"74cf809c64d4c987cca6cc79444a4c6f5f0997da77ccda0bd322e5fee1962c86"},"schema_version":"1.0","source":{"id":"1509.03827","kind":"arxiv","version":2}},"canonical_sha256":"1b1a1e845c6aba2d778f382a5315cef952ef7e0c6aab206f1eb73233556091eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b1a1e845c6aba2d778f382a5315cef952ef7e0c6aab206f1eb73233556091eb","first_computed_at":"2026-05-18T01:22:36.324912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:36.324912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dQDYqvyz9XfSTmkVJOsovvIqPexglG3qg6O+4TcWTi1Xj0ca4Few4nIz7dBHrQ08sF9q1qxZ6BH0usHMLcZgBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:36.325331Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03827","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58bf885bd83760fe64d5856b0b1187fd388362ca34f84ad4994706e12a15ee7f","sha256:252f126fed10fb91b2f803f6e497cef2c177840f74e1dc1e36998d73ddf50b01"],"state_sha256":"fc3c2fecb6ba3d8acf5e2df8a5efe8dc2dfd361960f119e3d8a07e8faaeb5d94"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vi2TTKkZBy2WHJ9gUMMgSBTOYjugygZxErzhFxc9TEqt8lDTvdhg6kUrkQrZdeU5OrUkOQ1WPCPaQdc5oHkTCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T18:12:39.388910Z","bundle_sha256":"cada23489a2bd8b5bff6a07ca6d1b3daa0dc0f9d5df7b4ca4cb52896003884ad"}}