{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IM3XXAUZQO2WDN2MHPIAZHXJW4","short_pith_number":"pith:IM3XXAUZ","canonical_record":{"source":{"id":"1603.05043","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-03-16T11:33:55Z","cross_cats_sorted":[],"title_canon_sha256":"31a95eecbd961183d5d70fea13192cc729728bce5c07843ee2d1e10cac15c598","abstract_canon_sha256":"540290525480eefd34088cd4400cb3d8a3f9a1b35ac94448fbf032e8e7df5896"},"schema_version":"1.0"},"canonical_sha256":"43377b829983b561b74c3bd00c9ee9b7272aba52deb0a4c54f6f72d94e55e0d7","source":{"kind":"arxiv","id":"1603.05043","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05043","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05043v2","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05043","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"IM3XXAUZQO2W","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IM3XXAUZQO2WDN2M","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IM3XXAUZ","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IM3XXAUZQO2WDN2MHPIAZHXJW4","target":"record","payload":{"canonical_record":{"source":{"id":"1603.05043","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-03-16T11:33:55Z","cross_cats_sorted":[],"title_canon_sha256":"31a95eecbd961183d5d70fea13192cc729728bce5c07843ee2d1e10cac15c598","abstract_canon_sha256":"540290525480eefd34088cd4400cb3d8a3f9a1b35ac94448fbf032e8e7df5896"},"schema_version":"1.0"},"canonical_sha256":"43377b829983b561b74c3bd00c9ee9b7272aba52deb0a4c54f6f72d94e55e0d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:24.865845Z","signature_b64":"aEbc5sEXaiLZJIDzq6y/WzrXTQ2l/iebjuGubkdpQiA1FtPKTLui80SE4BucgRsNHPCd6q7Kjrj+W+kZrARTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43377b829983b561b74c3bd00c9ee9b7272aba52deb0a4c54f6f72d94e55e0d7","last_reissued_at":"2026-05-18T01:18:24.865393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:24.865393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.05043","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":"2026-05-18T01:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ecD7FmeOEJcRilXyTVyzUTBCJmSy+1cGbedWSqL8f2UYs8f2atvKOmb5jfHtgp6SkWFyo9WOSFYcGw73BUY1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T06:38:47.238850Z"},"content_sha256":"85c6baa15803209960890e052a939d8ad3b64c152e24f32b3f6c0a091b554363","schema_version":"1.0","event_id":"sha256:85c6baa15803209960890e052a939d8ad3b64c152e24f32b3f6c0a091b554363"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IM3XXAUZQO2WDN2MHPIAZHXJW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a Kaehlerian space-time manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"B. B. Chaturvedi, Pankaj Pandey","submitted_at":"2016-03-16T11:33:55Z","abstract_excerpt":"In this paper, the theory of space-time in 4-dimensional Kaehler manifold has been studied. We have discussed the Einstein equation with cosmological constant in perfect fluid Kaehler space-time manifold and proved that the isotropic pressure, energy density and the energy momentum tensor vanish and such a space-time manifold is an Einstein manifold. We have shown also that a conformally flat perfect fluid Kaehler space-time manifold is infinitesimally spatially isotropic relative to the velocity vector field. In last two sections, we have studied weakly symmetric and weakly Ricci symmetric pe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05043","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":"2026-05-18T01:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hn1KEw6CbZBzA/zlg2IeMzVVjtXF7rA80fKyw5bk+ebY6Qyxvc5ookc6BCg6zCs14UIbmdG0nqjF96EYhjzHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T06:38:47.239462Z"},"content_sha256":"ff903304f9f1400f7d2bc96dbe6d59ed3ac9fb5777d486fdcc8137ecbe700d38","schema_version":"1.0","event_id":"sha256:ff903304f9f1400f7d2bc96dbe6d59ed3ac9fb5777d486fdcc8137ecbe700d38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IM3XXAUZQO2WDN2MHPIAZHXJW4/bundle.json","state_url":"https://pith.science/pith/IM3XXAUZQO2WDN2MHPIAZHXJW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IM3XXAUZQO2WDN2MHPIAZHXJW4/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":"2026-07-09T06:38:47Z","links":{"resolver":"https://pith.science/pith/IM3XXAUZQO2WDN2MHPIAZHXJW4","bundle":"https://pith.science/pith/IM3XXAUZQO2WDN2MHPIAZHXJW4/bundle.json","state":"https://pith.science/pith/IM3XXAUZQO2WDN2MHPIAZHXJW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IM3XXAUZQO2WDN2MHPIAZHXJW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IM3XXAUZQO2WDN2MHPIAZHXJW4","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":"540290525480eefd34088cd4400cb3d8a3f9a1b35ac94448fbf032e8e7df5896","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-03-16T11:33:55Z","title_canon_sha256":"31a95eecbd961183d5d70fea13192cc729728bce5c07843ee2d1e10cac15c598"},"schema_version":"1.0","source":{"id":"1603.05043","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05043","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05043v2","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05043","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"IM3XXAUZQO2W","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IM3XXAUZQO2WDN2M","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IM3XXAUZ","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:ff903304f9f1400f7d2bc96dbe6d59ed3ac9fb5777d486fdcc8137ecbe700d38","target":"graph","created_at":"2026-05-18T01:18:24Z","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":"In this paper, the theory of space-time in 4-dimensional Kaehler manifold has been studied. We have discussed the Einstein equation with cosmological constant in perfect fluid Kaehler space-time manifold and proved that the isotropic pressure, energy density and the energy momentum tensor vanish and such a space-time manifold is an Einstein manifold. We have shown also that a conformally flat perfect fluid Kaehler space-time manifold is infinitesimally spatially isotropic relative to the velocity vector field. In last two sections, we have studied weakly symmetric and weakly Ricci symmetric pe","authors_text":"B. B. Chaturvedi, Pankaj Pandey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-03-16T11:33:55Z","title":"On a Kaehlerian space-time manifold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05043","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":"sha256:85c6baa15803209960890e052a939d8ad3b64c152e24f32b3f6c0a091b554363","target":"record","created_at":"2026-05-18T01:18:24Z","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":"540290525480eefd34088cd4400cb3d8a3f9a1b35ac94448fbf032e8e7df5896","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-03-16T11:33:55Z","title_canon_sha256":"31a95eecbd961183d5d70fea13192cc729728bce5c07843ee2d1e10cac15c598"},"schema_version":"1.0","source":{"id":"1603.05043","kind":"arxiv","version":2}},"canonical_sha256":"43377b829983b561b74c3bd00c9ee9b7272aba52deb0a4c54f6f72d94e55e0d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43377b829983b561b74c3bd00c9ee9b7272aba52deb0a4c54f6f72d94e55e0d7","first_computed_at":"2026-05-18T01:18:24.865393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:24.865393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aEbc5sEXaiLZJIDzq6y/WzrXTQ2l/iebjuGubkdpQiA1FtPKTLui80SE4BucgRsNHPCd6q7Kjrj+W+kZrARTBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:24.865845Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05043","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85c6baa15803209960890e052a939d8ad3b64c152e24f32b3f6c0a091b554363","sha256:ff903304f9f1400f7d2bc96dbe6d59ed3ac9fb5777d486fdcc8137ecbe700d38"],"state_sha256":"268045a745d6c5c0213b43d0c11c9e70eaed885a6c7a3fd8820c9b111e4a83df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZyryFcm7g0BjIsMA2FYW+7bDjkiV+2UVV/fa6TTkU8hQDB630uOMtFTw0HVoj88zj+SWhvWHNn3E0LBgfLmZBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T06:38:47.243125Z","bundle_sha256":"95bc2701aeb606cc9d64297d5a2491b93dc4ea720ec9ffe86c389ef4f0dd1549"}}