{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:TGP5AJF5HBAT6GHBFDZOWLKEKW","short_pith_number":"pith:TGP5AJF5","canonical_record":{"source":{"id":"hep-th/0210176","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-10-18T07:57:07Z","cross_cats_sorted":[],"title_canon_sha256":"da20c43d95749dccf5c3d23eeefb8d9c211124bc941f94e23690cd5b7bcdd8a7","abstract_canon_sha256":"5fed0f62bfd1671f23e25ab2280c34f4aa1b0fab0911afe4aa6c07b4e7ef09cf"},"schema_version":"1.0"},"canonical_sha256":"999fd024bd38413f18e128f2eb2d44559ee73a6ccfaec4babd2031d8a94917ac","source":{"kind":"arxiv","id":"hep-th/0210176","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0210176","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0210176v2","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0210176","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"TGP5AJF5HBAT","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"TGP5AJF5HBAT6GHB","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"TGP5AJF5","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:TGP5AJF5HBAT6GHBFDZOWLKEKW","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0210176","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-10-18T07:57:07Z","cross_cats_sorted":[],"title_canon_sha256":"da20c43d95749dccf5c3d23eeefb8d9c211124bc941f94e23690cd5b7bcdd8a7","abstract_canon_sha256":"5fed0f62bfd1671f23e25ab2280c34f4aa1b0fab0911afe4aa6c07b4e7ef09cf"},"schema_version":"1.0"},"canonical_sha256":"999fd024bd38413f18e128f2eb2d44559ee73a6ccfaec4babd2031d8a94917ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:23.506585Z","signature_b64":"Bd1AK3Cqtu9ucfmP99Dn1zZBOONKZ75Lu7iTCXwb5XWwDGaQ0DWzSxvjNcNkGMhoAg1qIlcJHvsMJ3vXWnEGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"999fd024bd38413f18e128f2eb2d44559ee73a6ccfaec4babd2031d8a94917ac","last_reissued_at":"2026-05-18T04:35:23.505987Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:23.505987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0210176","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":"2026-05-18T04:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ajlWDc/xKfCStYUO8iYiR/Xe/vpZHW03K6NgxWvX/pS/4aJm7YkWWsETeWK8PvI4uc/sU/G8JbmM5B4S4kccBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:15:13.660765Z"},"content_sha256":"9443991d3bd6c9ca4ede160b020c1250c3477aca199b8802d199abea27e8d78e","schema_version":"1.0","event_id":"sha256:9443991d3bd6c9ca4ede160b020c1250c3477aca199b8802d199abea27e8d78e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:TGP5AJF5HBAT6GHBFDZOWLKEKW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Static spherisymmetric solutions, gravitational lensing and perihelion precession in Einstein--Kalb--Ramond theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Saurabh Sur, Sayan Kar, Soumitra SenGupta","submitted_at":"2002-10-18T07:57:07Z","abstract_excerpt":"Static, spherically symmetric solutions of the Einstein--Kalb--Ramond (KR) field equations are obtained. Besides an earlier known exact solution, we also find an approximate, asymptotically flat solution for which the metric coefficients are obtained as an infinte series in $\\frac{1}{r}$. Subsequently, we study gravitational lensing and perihelion precession in these spacetimes and obtain explicit formulae which include corrections to these effects in the presence of the KR field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0210176","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":"2026-05-18T04:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jGJyJRu7Pef6xchCAvZK1hVD6r06JEE3LrdZsjYRDw7opNhG0uuIA028zdMOld7Qc58ZfdclrkBA/ne/mvEIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:15:13.661364Z"},"content_sha256":"572eeb8ae876eebf0d2b29b4fcc1d80a8586ab413dd20f6af9da16f46d54bf01","schema_version":"1.0","event_id":"sha256:572eeb8ae876eebf0d2b29b4fcc1d80a8586ab413dd20f6af9da16f46d54bf01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TGP5AJF5HBAT6GHBFDZOWLKEKW/bundle.json","state_url":"https://pith.science/pith/TGP5AJF5HBAT6GHBFDZOWLKEKW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TGP5AJF5HBAT6GHBFDZOWLKEKW/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":"2026-06-07T14:15:13Z","links":{"resolver":"https://pith.science/pith/TGP5AJF5HBAT6GHBFDZOWLKEKW","bundle":"https://pith.science/pith/TGP5AJF5HBAT6GHBFDZOWLKEKW/bundle.json","state":"https://pith.science/pith/TGP5AJF5HBAT6GHBFDZOWLKEKW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TGP5AJF5HBAT6GHBFDZOWLKEKW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:TGP5AJF5HBAT6GHBFDZOWLKEKW","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":"5fed0f62bfd1671f23e25ab2280c34f4aa1b0fab0911afe4aa6c07b4e7ef09cf","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-10-18T07:57:07Z","title_canon_sha256":"da20c43d95749dccf5c3d23eeefb8d9c211124bc941f94e23690cd5b7bcdd8a7"},"schema_version":"1.0","source":{"id":"hep-th/0210176","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0210176","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0210176v2","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0210176","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"TGP5AJF5HBAT","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"TGP5AJF5HBAT6GHB","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"TGP5AJF5","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:572eeb8ae876eebf0d2b29b4fcc1d80a8586ab413dd20f6af9da16f46d54bf01","target":"graph","created_at":"2026-05-18T04:35:23Z","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":"Static, spherically symmetric solutions of the Einstein--Kalb--Ramond (KR) field equations are obtained. Besides an earlier known exact solution, we also find an approximate, asymptotically flat solution for which the metric coefficients are obtained as an infinte series in $\\frac{1}{r}$. Subsequently, we study gravitational lensing and perihelion precession in these spacetimes and obtain explicit formulae which include corrections to these effects in the presence of the KR field.","authors_text":"Saurabh Sur, Sayan Kar, Soumitra SenGupta","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-10-18T07:57:07Z","title":"Static spherisymmetric solutions, gravitational lensing and perihelion precession in Einstein--Kalb--Ramond theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0210176","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":"sha256:9443991d3bd6c9ca4ede160b020c1250c3477aca199b8802d199abea27e8d78e","target":"record","created_at":"2026-05-18T04:35:23Z","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":"5fed0f62bfd1671f23e25ab2280c34f4aa1b0fab0911afe4aa6c07b4e7ef09cf","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-10-18T07:57:07Z","title_canon_sha256":"da20c43d95749dccf5c3d23eeefb8d9c211124bc941f94e23690cd5b7bcdd8a7"},"schema_version":"1.0","source":{"id":"hep-th/0210176","kind":"arxiv","version":2}},"canonical_sha256":"999fd024bd38413f18e128f2eb2d44559ee73a6ccfaec4babd2031d8a94917ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"999fd024bd38413f18e128f2eb2d44559ee73a6ccfaec4babd2031d8a94917ac","first_computed_at":"2026-05-18T04:35:23.505987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:23.505987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bd1AK3Cqtu9ucfmP99Dn1zZBOONKZ75Lu7iTCXwb5XWwDGaQ0DWzSxvjNcNkGMhoAg1qIlcJHvsMJ3vXWnEGAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:23.506585Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0210176","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9443991d3bd6c9ca4ede160b020c1250c3477aca199b8802d199abea27e8d78e","sha256:572eeb8ae876eebf0d2b29b4fcc1d80a8586ab413dd20f6af9da16f46d54bf01"],"state_sha256":"85c0c4a844fdcf1c2e0e83e60c06a250ec3cf7479725ed7bf58ea3ba4e0861a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GKxTo3l1/mu5hEL78yho7ZBi/IRA7oWfvdbCO05oVw+mZaiII91S/V+QcSBqslwkEo93yh+a/3nqvncnl+kuCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:15:13.665165Z","bundle_sha256":"6837603a04d9e7d1fb7fba00b7de5daba77011f17626d743beec65993689df5d"}}