{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:FILXTJLVFMGI77UGDN26XB3XAC","short_pith_number":"pith:FILXTJLV","canonical_record":{"source":{"id":"0910.1314","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-07T16:48:52Z","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn"],"title_canon_sha256":"3176465ad4fac03c0cb6018a33aa87c3465e5b99f817d90e5e52850bd6e66cc8","abstract_canon_sha256":"87cbf9f37092e001e4e261d9c8b609e1f2e146349d4f1184b472e7a0bc07dc5a"},"schema_version":"1.0"},"canonical_sha256":"2a1779a5752b0c8ffe861b75eb877700b94b8dbe3f695d2de8fbf80008c318a3","source":{"kind":"arxiv","id":"0910.1314","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.1314","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"0910.1314v2","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1314","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"FILXTJLVFMGI","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"FILXTJLVFMGI77UG","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"FILXTJLV","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:FILXTJLVFMGI77UGDN26XB3XAC","target":"record","payload":{"canonical_record":{"source":{"id":"0910.1314","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-07T16:48:52Z","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn"],"title_canon_sha256":"3176465ad4fac03c0cb6018a33aa87c3465e5b99f817d90e5e52850bd6e66cc8","abstract_canon_sha256":"87cbf9f37092e001e4e261d9c8b609e1f2e146349d4f1184b472e7a0bc07dc5a"},"schema_version":"1.0"},"canonical_sha256":"2a1779a5752b0c8ffe861b75eb877700b94b8dbe3f695d2de8fbf80008c318a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:54.667544Z","signature_b64":"ouziQIrp6CbxHoqxI+relzkd5WsDQWd75xKhTdduC2nmzkSqs1ntgoUpRQbCmlWlhsK89bpWFrQ0bzjBQ9aoAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a1779a5752b0c8ffe861b75eb877700b94b8dbe3f695d2de8fbf80008c318a3","last_reissued_at":"2026-05-18T03:35:54.666651Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:54.666651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.1314","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":"2026-05-18T03:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Av3kAOcb/c+OtKGyGyEpxNJ1FdpCjsay67WPjpyY0AoXXbM/CtlcqgdpoO4LedmtFe0cuXJwDVIOZGv4+6CrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:44:09.587765Z"},"content_sha256":"7cec3f5b9f5fc2651706fc935f796d12cdc65d3044758b1562f169ab50d26bf9","schema_version":"1.0","event_id":"sha256:7cec3f5b9f5fc2651706fc935f796d12cdc65d3044758b1562f169ab50d26bf9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:FILXTJLVFMGI77UGDN26XB3XAC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flowing Liquid Crystal Simulating the Schwarzschild Metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","physics.flu-dyn"],"primary_cat":"gr-qc","authors_text":"Erms R. Pereira, Fernando Moraes","submitted_at":"2009-10-07T16:48:52Z","abstract_excerpt":"We show how to simulate the equatorial section of the Schwarzschild metric through a flowing liquid crystal in its nematic phase. Inside a liquid crystal in the nematic phase, a traveling light ray feels an effective metric, whose properties are linked to perpendicular and parallel refractive indexes, $n_o$ e $n_e$ respectively, of the rod-like molecule of the liquid crystal. As these indexes depend on the scalar order parameter of the liquid crystal, the Beris-Edwards hydrodynamic theory is used to connect the order parameter with the velocity of a liquid crystal flow at each point. This way "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1314","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":"2026-05-18T03:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"80FAr8wc0jgrRVbEaaW4OS0VcDdaPgRahDcZy4s54ORLtu7BKhh6iVkqEzQHeHlUfQxhAxCM1HabYjHPu9YnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:44:09.588110Z"},"content_sha256":"bf372024c7ed74b3903ffcfe95b3a0ca692740018ce2d1ae656282bc826b27b9","schema_version":"1.0","event_id":"sha256:bf372024c7ed74b3903ffcfe95b3a0ca692740018ce2d1ae656282bc826b27b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FILXTJLVFMGI77UGDN26XB3XAC/bundle.json","state_url":"https://pith.science/pith/FILXTJLVFMGI77UGDN26XB3XAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FILXTJLVFMGI77UGDN26XB3XAC/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":"2026-06-25T19:44:09Z","links":{"resolver":"https://pith.science/pith/FILXTJLVFMGI77UGDN26XB3XAC","bundle":"https://pith.science/pith/FILXTJLVFMGI77UGDN26XB3XAC/bundle.json","state":"https://pith.science/pith/FILXTJLVFMGI77UGDN26XB3XAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FILXTJLVFMGI77UGDN26XB3XAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:FILXTJLVFMGI77UGDN26XB3XAC","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":"87cbf9f37092e001e4e261d9c8b609e1f2e146349d4f1184b472e7a0bc07dc5a","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-07T16:48:52Z","title_canon_sha256":"3176465ad4fac03c0cb6018a33aa87c3465e5b99f817d90e5e52850bd6e66cc8"},"schema_version":"1.0","source":{"id":"0910.1314","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.1314","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"0910.1314v2","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1314","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"FILXTJLVFMGI","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"FILXTJLVFMGI77UG","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"FILXTJLV","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:bf372024c7ed74b3903ffcfe95b3a0ca692740018ce2d1ae656282bc826b27b9","target":"graph","created_at":"2026-05-18T03:35:54Z","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 show how to simulate the equatorial section of the Schwarzschild metric through a flowing liquid crystal in its nematic phase. Inside a liquid crystal in the nematic phase, a traveling light ray feels an effective metric, whose properties are linked to perpendicular and parallel refractive indexes, $n_o$ e $n_e$ respectively, of the rod-like molecule of the liquid crystal. As these indexes depend on the scalar order parameter of the liquid crystal, the Beris-Edwards hydrodynamic theory is used to connect the order parameter with the velocity of a liquid crystal flow at each point. This way ","authors_text":"Erms R. Pereira, Fernando Moraes","cross_cats":["cond-mat.soft","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-07T16:48:52Z","title":"Flowing Liquid Crystal Simulating the Schwarzschild Metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1314","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":"sha256:7cec3f5b9f5fc2651706fc935f796d12cdc65d3044758b1562f169ab50d26bf9","target":"record","created_at":"2026-05-18T03:35:54Z","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":"87cbf9f37092e001e4e261d9c8b609e1f2e146349d4f1184b472e7a0bc07dc5a","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-07T16:48:52Z","title_canon_sha256":"3176465ad4fac03c0cb6018a33aa87c3465e5b99f817d90e5e52850bd6e66cc8"},"schema_version":"1.0","source":{"id":"0910.1314","kind":"arxiv","version":2}},"canonical_sha256":"2a1779a5752b0c8ffe861b75eb877700b94b8dbe3f695d2de8fbf80008c318a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a1779a5752b0c8ffe861b75eb877700b94b8dbe3f695d2de8fbf80008c318a3","first_computed_at":"2026-05-18T03:35:54.666651Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:54.666651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ouziQIrp6CbxHoqxI+relzkd5WsDQWd75xKhTdduC2nmzkSqs1ntgoUpRQbCmlWlhsK89bpWFrQ0bzjBQ9aoAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:54.667544Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.1314","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cec3f5b9f5fc2651706fc935f796d12cdc65d3044758b1562f169ab50d26bf9","sha256:bf372024c7ed74b3903ffcfe95b3a0ca692740018ce2d1ae656282bc826b27b9"],"state_sha256":"33fb706a641f94d190c2242613ddbf89035f62ebdbf2692ee30fc56865124843"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pQWujRyT5NbpvBmzcIlLSEmgoSv5uCB3JqN5KKKcmobdKcWK2Gfg1M3tHu2E13nZdfMfTGESq9vJ+TAy1I0jBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T19:44:09.590061Z","bundle_sha256":"9f058c5fcac190dfda89fb87704c52da00b3a005e37e03139586fe71cb331bca"}}