{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NVY5RWKOQ62L3NEUJVHT7FR437","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":"686815a189f37895fe63144b5063f90b5bef0e1fa5ad66ec57e8057e95fdfac6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-17T12:04:37Z","title_canon_sha256":"40601af91a315639be10dd5963e2e22a415e3a38043edd0c7c9d187aa3e5c20e"},"schema_version":"1.0","source":{"id":"1710.06791","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06791","created_at":"2026-05-18T00:12:24Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06791v2","created_at":"2026-05-18T00:12:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06791","created_at":"2026-05-18T00:12:24Z"},{"alias_kind":"pith_short_12","alias_value":"NVY5RWKOQ62L","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NVY5RWKOQ62L3NEU","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NVY5RWKO","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:43009d693f046058ae6ed8bb1acac654fe0771226e0508c7d1e452fc3c80f697","target":"graph","created_at":"2026-05-18T00:12:24Z","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":"The paper deals with an extensive study of null and timelike geodesics in the background of wormhole geometries. Starting with a spherically symmetric spacetime, null geodesics are analyzed for the Morris-Thorne wormhole(WH) and photon spheres are examined in WH geometries. Both bounded and unbounded orbits are discussed for timelike geodesics. A similar analysis has been done for trajectories in a dynamic spherically symmetric WH and for a rotating WH. Finally, the invariant angle method of Rindler and Ishak has been used to calculate the angle between radial and tangential vectors at any poi","authors_text":"Anuj Mishra, Subenoy Chakraborty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-17T12:04:37Z","title":"On the trajectories of null and timelike geodesics in different wormhole geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06791","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":"sha256:0c344ae5122abf4f0e4c4de712029ee165d347a83c825978b8440977e49a1de0","target":"record","created_at":"2026-05-18T00:12:24Z","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":"686815a189f37895fe63144b5063f90b5bef0e1fa5ad66ec57e8057e95fdfac6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-17T12:04:37Z","title_canon_sha256":"40601af91a315639be10dd5963e2e22a415e3a38043edd0c7c9d187aa3e5c20e"},"schema_version":"1.0","source":{"id":"1710.06791","kind":"arxiv","version":2}},"canonical_sha256":"6d71d8d94e87b4bdb4944d4f3f963cdffd9f78303c30c34a6919252a0a02d357","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d71d8d94e87b4bdb4944d4f3f963cdffd9f78303c30c34a6919252a0a02d357","first_computed_at":"2026-05-18T00:12:24.837337Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:24.837337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xndfGBe7Ea7rfro2S8Txp+uHkYS/AySkU6E67t70yEMLXgrODIkcFtSynzu81RG/kY2iK3xdcD6qLW+ZHppgDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:24.838043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.06791","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c344ae5122abf4f0e4c4de712029ee165d347a83c825978b8440977e49a1de0","sha256:43009d693f046058ae6ed8bb1acac654fe0771226e0508c7d1e452fc3c80f697"],"state_sha256":"ac112fcbf44a1b710d80ae3b95f930ab91f2bb7993bde1c3730a89b58f379faa"}