{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:AAU6QU4EM7POGLTRPUN75KK5S3","short_pith_number":"pith:AAU6QU4E","canonical_record":{"source":{"id":"0707.2989","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-07-20T03:34:41Z","cross_cats_sorted":[],"title_canon_sha256":"467706b185aefab42cbf7f376de9bed9bb1483deeb69574999e2866776e984cd","abstract_canon_sha256":"a37e344382ed6d2a07aabb4871756b1a32abbdd34ba7a14efb5c611aa5b15b9d"},"schema_version":"1.0"},"canonical_sha256":"0029e8538467dee32e717d1bfea95d96e1454ab915d67c7ee86e255eb9dcfe94","source":{"kind":"arxiv","id":"0707.2989","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.2989","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"arxiv_version","alias_value":"0707.2989v1","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.2989","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"pith_short_12","alias_value":"AAU6QU4EM7PO","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"pith_short_16","alias_value":"AAU6QU4EM7POGLTR","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"pith_short_8","alias_value":"AAU6QU4E","created_at":"2026-07-04T15:06:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:AAU6QU4EM7POGLTRPUN75KK5S3","target":"record","payload":{"canonical_record":{"source":{"id":"0707.2989","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-07-20T03:34:41Z","cross_cats_sorted":[],"title_canon_sha256":"467706b185aefab42cbf7f376de9bed9bb1483deeb69574999e2866776e984cd","abstract_canon_sha256":"a37e344382ed6d2a07aabb4871756b1a32abbdd34ba7a14efb5c611aa5b15b9d"},"schema_version":"1.0"},"canonical_sha256":"0029e8538467dee32e717d1bfea95d96e1454ab915d67c7ee86e255eb9dcfe94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:06:45.670761Z","signature_b64":"gIFhtMxgotycXNbbx+7uBBkEBZHNvdqZh+fOQ+AOM5/pM5Lq+x0Y0Vqi7vzNW6Wsiviaz2QBG03aSkhE+xqzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0029e8538467dee32e717d1bfea95d96e1454ab915d67c7ee86e255eb9dcfe94","last_reissued_at":"2026-07-04T15:06:45.670364Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:06:45.670364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0707.2989","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:06:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4SfaAB6wRo7QrH7+x9Pg+9MuzJZ0iwhF81bYS0vbOlB/ZJsF1h+t2WExJ2AmMLajba/Sop3/ktLH3pjDr4elAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:11:21.020619Z"},"content_sha256":"a083d710bf3cc9a900678f1ec3e697ad1536492bef4f823d0d41a22c8112770b","schema_version":"1.0","event_id":"sha256:a083d710bf3cc9a900678f1ec3e697ad1536492bef4f823d0d41a22c8112770b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:AAU6QU4EM7POGLTRPUN75KK5S3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conformal Ricci and Matter Collineations for Anisotropic Fluid","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Sharif, Naghmana Tehseen","submitted_at":"2007-07-20T03:34:41Z","abstract_excerpt":"We study the consequences of timelike and spaccelike conformal Ricci and conformal matter collineations for anisotropic fluid in the context of General Relativity. Necessary and sufficient conditions are derived for a spacetime with anisotropic fluid to admit conformal Ricci and conformal matter collineations parallel to u^a and x^a. These conditions for timelike and spacelike conformal Ricci and conformal matter collineations for anisotropic fluid reduce to the conditions of perfect fluid when the heat flux and the traceless anisotropic stress tensor vanish. Further, for $\\alpha=0$ (the confo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.2989","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0707.2989/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:06:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XpE5Q7ZLyn/vDvGy8g10XXBseTxYG4IiD8Ogiy/XhQWeNMYLcMXjnZUnqnJuuRhVPiNrHVH6wfptxMvnbeW5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:11:21.021488Z"},"content_sha256":"910461aebbeac539e9ad1239399f2b8a9a611fbb1f6ebc6964468110eb9e477e","schema_version":"1.0","event_id":"sha256:910461aebbeac539e9ad1239399f2b8a9a611fbb1f6ebc6964468110eb9e477e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AAU6QU4EM7POGLTRPUN75KK5S3/bundle.json","state_url":"https://pith.science/pith/AAU6QU4EM7POGLTRPUN75KK5S3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AAU6QU4EM7POGLTRPUN75KK5S3/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":"2026-08-05T03:11:21Z","links":{"resolver":"https://pith.science/pith/AAU6QU4EM7POGLTRPUN75KK5S3","bundle":"https://pith.science/pith/AAU6QU4EM7POGLTRPUN75KK5S3/bundle.json","state":"https://pith.science/pith/AAU6QU4EM7POGLTRPUN75KK5S3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AAU6QU4EM7POGLTRPUN75KK5S3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:AAU6QU4EM7POGLTRPUN75KK5S3","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":"a37e344382ed6d2a07aabb4871756b1a32abbdd34ba7a14efb5c611aa5b15b9d","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-07-20T03:34:41Z","title_canon_sha256":"467706b185aefab42cbf7f376de9bed9bb1483deeb69574999e2866776e984cd"},"schema_version":"1.0","source":{"id":"0707.2989","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.2989","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"arxiv_version","alias_value":"0707.2989v1","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.2989","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"pith_short_12","alias_value":"AAU6QU4EM7PO","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"pith_short_16","alias_value":"AAU6QU4EM7POGLTR","created_at":"2026-07-04T15:06:45Z"},{"alias_kind":"pith_short_8","alias_value":"AAU6QU4E","created_at":"2026-07-04T15:06:45Z"}],"graph_snapshots":[{"event_id":"sha256:910461aebbeac539e9ad1239399f2b8a9a611fbb1f6ebc6964468110eb9e477e","target":"graph","created_at":"2026-07-04T15:06:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0707.2989/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the consequences of timelike and spaccelike conformal Ricci and conformal matter collineations for anisotropic fluid in the context of General Relativity. Necessary and sufficient conditions are derived for a spacetime with anisotropic fluid to admit conformal Ricci and conformal matter collineations parallel to u^a and x^a. These conditions for timelike and spacelike conformal Ricci and conformal matter collineations for anisotropic fluid reduce to the conditions of perfect fluid when the heat flux and the traceless anisotropic stress tensor vanish. Further, for $\\alpha=0$ (the confo","authors_text":"M. Sharif, Naghmana Tehseen","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-07-20T03:34:41Z","title":"Conformal Ricci and Matter Collineations for Anisotropic Fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.2989","kind":"arxiv","version":1},"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:a083d710bf3cc9a900678f1ec3e697ad1536492bef4f823d0d41a22c8112770b","target":"record","created_at":"2026-07-04T15:06:45Z","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":"a37e344382ed6d2a07aabb4871756b1a32abbdd34ba7a14efb5c611aa5b15b9d","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-07-20T03:34:41Z","title_canon_sha256":"467706b185aefab42cbf7f376de9bed9bb1483deeb69574999e2866776e984cd"},"schema_version":"1.0","source":{"id":"0707.2989","kind":"arxiv","version":1}},"canonical_sha256":"0029e8538467dee32e717d1bfea95d96e1454ab915d67c7ee86e255eb9dcfe94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0029e8538467dee32e717d1bfea95d96e1454ab915d67c7ee86e255eb9dcfe94","first_computed_at":"2026-07-04T15:06:45.670364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:06:45.670364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gIFhtMxgotycXNbbx+7uBBkEBZHNvdqZh+fOQ+AOM5/pM5Lq+x0Y0Vqi7vzNW6Wsiviaz2QBG03aSkhE+xqzCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:06:45.670761Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.2989","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a083d710bf3cc9a900678f1ec3e697ad1536492bef4f823d0d41a22c8112770b","sha256:910461aebbeac539e9ad1239399f2b8a9a611fbb1f6ebc6964468110eb9e477e"],"state_sha256":"290c9f5ee12e21852b23b201a2c7e9bd9ee76df69e218dee45c9668fea7aa0ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XbAz8mYrGliKTgN7ThtAGQiGa7PnbCcLED+LnuIQwcOtVo3tR/+YKTLLv+Bp+05Otu1vHs+xgjRnf8yFxMDvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T03:11:21.026113Z","bundle_sha256":"a732f51337b4b6731bef6c7a518ec08268c5dae53dbc8312b14434d701088e0e"}}