{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OW6JLDDXKVU3P65UZELU7PU2HS","short_pith_number":"pith:OW6JLDDX","canonical_record":{"source":{"id":"1512.04874","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T22:52:37Z","cross_cats_sorted":[],"title_canon_sha256":"8f115a64ce9bac8a59746e2db5ea3feaae1bde251a716aa16ed1663f1e9e28b9","abstract_canon_sha256":"13a38225174a7112990d4749137b8ff0c5188376a2ed09bba650a2762e1b8d83"},"schema_version":"1.0"},"canonical_sha256":"75bc958c775569b7fbb4c9174fbe9a3c8d11d52d35f18c407372279900b2d5dc","source":{"kind":"arxiv","id":"1512.04874","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04874","created_at":"2026-05-18T00:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04874v5","created_at":"2026-05-18T00:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04874","created_at":"2026-05-18T00:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"OW6JLDDXKVU3","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OW6JLDDXKVU3P65U","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OW6JLDDX","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OW6JLDDXKVU3P65UZELU7PU2HS","target":"record","payload":{"canonical_record":{"source":{"id":"1512.04874","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T22:52:37Z","cross_cats_sorted":[],"title_canon_sha256":"8f115a64ce9bac8a59746e2db5ea3feaae1bde251a716aa16ed1663f1e9e28b9","abstract_canon_sha256":"13a38225174a7112990d4749137b8ff0c5188376a2ed09bba650a2762e1b8d83"},"schema_version":"1.0"},"canonical_sha256":"75bc958c775569b7fbb4c9174fbe9a3c8d11d52d35f18c407372279900b2d5dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:47.049709Z","signature_b64":"FAhKj0yPmrCLmhKB2KYW70r54sDqjXvmIarxRgKsVoIvOSuLo6AUpttg2qGKE9WiVxwEj0mzLjfHD8AqKbELAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75bc958c775569b7fbb4c9174fbe9a3c8d11d52d35f18c407372279900b2d5dc","last_reissued_at":"2026-05-18T00:18:47.049194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:47.049194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.04874","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dM83o5oMGNiYkw7fcuTG0aSr6cu7FQAp3DZ71Ngt+YNcdEj6TE40oRuEmi9qNLR03GzCldJ7UmWPRypeTINbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:27:06.533713Z"},"content_sha256":"ee172c39b67050891e90a45bf6374b8ee2c0521f91d7ff6d49ad114f5cbd083b","schema_version":"1.0","event_id":"sha256:ee172c39b67050891e90a45bf6374b8ee2c0521f91d7ff6d49ad114f5cbd083b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OW6JLDDXKVU3P65UZELU7PU2HS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Similarity dark energy models in Bianchi type - I space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abdulah K Alzahrani, Ahmad T Ali, Anil Kumar Yadav","submitted_at":"2015-12-07T22:52:37Z","abstract_excerpt":"We investigate some new similarity inhomogeneous solutions of anisotropic dark energy and perfect fluid in Bianchi type-I space-time. Three different equation of state parameters along the spatial directions are introduced to quantify the deviation of pressure from isotropy. We consider the case when the dark energy is minimally coupled to the perfect fluid as well as direct interaction with it. The Lie symmetry generators that leave the equation invariant are identified and we generate an optimal system of one-dimensional subalgebras. Each element of the optimal system is used to reduce the p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04874","kind":"arxiv","version":5},"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":"2026-05-18T00:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BpDdWDvoPuO53kKFkJclFLGldTZ6OJdbnMmkYl/jb6F+NY7+/LiZhusEKfSt4nBKsjB+L2Euf6TYG+jg9zABAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:27:06.534139Z"},"content_sha256":"771e18e9b1b7d943b9ef99458873dfd59e913af92707b758cbead8036f84ac37","schema_version":"1.0","event_id":"sha256:771e18e9b1b7d943b9ef99458873dfd59e913af92707b758cbead8036f84ac37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OW6JLDDXKVU3P65UZELU7PU2HS/bundle.json","state_url":"https://pith.science/pith/OW6JLDDXKVU3P65UZELU7PU2HS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OW6JLDDXKVU3P65UZELU7PU2HS/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":"2026-05-30T02:27:06Z","links":{"resolver":"https://pith.science/pith/OW6JLDDXKVU3P65UZELU7PU2HS","bundle":"https://pith.science/pith/OW6JLDDXKVU3P65UZELU7PU2HS/bundle.json","state":"https://pith.science/pith/OW6JLDDXKVU3P65UZELU7PU2HS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OW6JLDDXKVU3P65UZELU7PU2HS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OW6JLDDXKVU3P65UZELU7PU2HS","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":"13a38225174a7112990d4749137b8ff0c5188376a2ed09bba650a2762e1b8d83","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T22:52:37Z","title_canon_sha256":"8f115a64ce9bac8a59746e2db5ea3feaae1bde251a716aa16ed1663f1e9e28b9"},"schema_version":"1.0","source":{"id":"1512.04874","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04874","created_at":"2026-05-18T00:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04874v5","created_at":"2026-05-18T00:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04874","created_at":"2026-05-18T00:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"OW6JLDDXKVU3","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OW6JLDDXKVU3P65U","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OW6JLDDX","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:771e18e9b1b7d943b9ef99458873dfd59e913af92707b758cbead8036f84ac37","target":"graph","created_at":"2026-05-18T00:18:47Z","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 some new similarity inhomogeneous solutions of anisotropic dark energy and perfect fluid in Bianchi type-I space-time. Three different equation of state parameters along the spatial directions are introduced to quantify the deviation of pressure from isotropy. We consider the case when the dark energy is minimally coupled to the perfect fluid as well as direct interaction with it. The Lie symmetry generators that leave the equation invariant are identified and we generate an optimal system of one-dimensional subalgebras. Each element of the optimal system is used to reduce the p","authors_text":"Abdulah K Alzahrani, Ahmad T Ali, Anil Kumar Yadav","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T22:52:37Z","title":"Similarity dark energy models in Bianchi type - I space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04874","kind":"arxiv","version":5},"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:ee172c39b67050891e90a45bf6374b8ee2c0521f91d7ff6d49ad114f5cbd083b","target":"record","created_at":"2026-05-18T00:18:47Z","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":"13a38225174a7112990d4749137b8ff0c5188376a2ed09bba650a2762e1b8d83","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T22:52:37Z","title_canon_sha256":"8f115a64ce9bac8a59746e2db5ea3feaae1bde251a716aa16ed1663f1e9e28b9"},"schema_version":"1.0","source":{"id":"1512.04874","kind":"arxiv","version":5}},"canonical_sha256":"75bc958c775569b7fbb4c9174fbe9a3c8d11d52d35f18c407372279900b2d5dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75bc958c775569b7fbb4c9174fbe9a3c8d11d52d35f18c407372279900b2d5dc","first_computed_at":"2026-05-18T00:18:47.049194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:47.049194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FAhKj0yPmrCLmhKB2KYW70r54sDqjXvmIarxRgKsVoIvOSuLo6AUpttg2qGKE9WiVxwEj0mzLjfHD8AqKbELAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:47.049709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.04874","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee172c39b67050891e90a45bf6374b8ee2c0521f91d7ff6d49ad114f5cbd083b","sha256:771e18e9b1b7d943b9ef99458873dfd59e913af92707b758cbead8036f84ac37"],"state_sha256":"59058a3c2929b929e9f8b2d5e9b15249e72e398abcdd35682e1e360af7f478ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m2+KnLxsOK15tNvuM8e1k4aIYOq+1lFwvkENIOI5VZsywNseeTBZwePJu3WVnSmhZC+BkixJdPhNJpEpSo+wDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T02:27:06.536722Z","bundle_sha256":"b748f89878c559587c90467769880fcef0db44ed375d0d4f144f78666c4ffec0"}}