{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:7IZ676F42AFLQIDESUM4ON4ZAQ","short_pith_number":"pith:7IZ676F4","canonical_record":{"source":{"id":"2510.11836","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-10-13T18:40:47Z","cross_cats_sorted":[],"title_canon_sha256":"4f58157bccae96f5154a17838171fbedf8823aef0cdbf715c45d84688bf5e1d5","abstract_canon_sha256":"2bb35f4a41b4ced5392403e2a5cf9280a273de05ad464f240cf682ec978ef817"},"schema_version":"1.0"},"canonical_sha256":"fa33eff8bcd00ab820649519c73799042ab6da349c74c81966206a4944181df7","source":{"kind":"arxiv","id":"2510.11836","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.11836","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"arxiv_version","alias_value":"2510.11836v2","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.11836","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"pith_short_12","alias_value":"7IZ676F42AFL","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"pith_short_16","alias_value":"7IZ676F42AFLQIDE","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"pith_short_8","alias_value":"7IZ676F4","created_at":"2026-07-14T01:20:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:7IZ676F42AFLQIDESUM4ON4ZAQ","target":"record","payload":{"canonical_record":{"source":{"id":"2510.11836","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-10-13T18:40:47Z","cross_cats_sorted":[],"title_canon_sha256":"4f58157bccae96f5154a17838171fbedf8823aef0cdbf715c45d84688bf5e1d5","abstract_canon_sha256":"2bb35f4a41b4ced5392403e2a5cf9280a273de05ad464f240cf682ec978ef817"},"schema_version":"1.0"},"canonical_sha256":"fa33eff8bcd00ab820649519c73799042ab6da349c74c81966206a4944181df7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-14T01:20:47.012736Z","signature_b64":"S3XGD/j2AbMJ9++CDR31Y7y6dBmp8584oFvgsbfBoSZC2g7FZ/pTRF7yHzaudPMMX2azF9YWy+F8MSzNASWeAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa33eff8bcd00ab820649519c73799042ab6da349c74c81966206a4944181df7","last_reissued_at":"2026-07-14T01:20:47.011750Z","signature_status":"signed_v1","first_computed_at":"2026-07-14T01:20:47.011750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2510.11836","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":"2026-07-14T01:20:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"waBv6hsiwHsNx58pxB0GQTDkH83XKEbbzXtkyr7hFUAoyYMiMMdJ8QsJLNF+sOViv8Wx66ObQ+xKnjucMca/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:20:45.411623Z"},"content_sha256":"3e35f56f65c1277df887fa901e883f346d366fccbed71ce78f9e583ded9f14dc","schema_version":"1.0","event_id":"sha256:3e35f56f65c1277df887fa901e883f346d366fccbed71ce78f9e583ded9f14dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:7IZ676F42AFLQIDESUM4ON4ZAQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shift vector sign reversal in the Alcubierre warp drive spacetime geometry and nonlinear Burgers-type dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Everton M. C. Abreu, Marcelo B. Ribeiro, Osvaldo L. Santos-Pereira","submitted_at":"2025-10-13T18:40:47Z","abstract_excerpt":"This work investigates a sign reversal of the shift vector in the Alcubierre Warp Drive geometry and its effect on the nonlinear reduced structure of the Einstein equations. Previous analyses showed that Burgers-type equations can arise in warp drive spacetimes, leading to vacuum solutions under suitable assumptions on the sign of the shift vector and on matter-source reductions. Here, we analyze the original Alcubierre shift-vector sector and show that, under an appropriate mathematical ansatz, the $\\{22\\}$ and $\\{33\\}$ components of the Einstein equations can be formally decomposed into visc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.11836","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.11836/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":"2026-07-14T01:20:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/H3uUwWdWbYGxPnCFIosBw/4uwxoJxkSK8cLYw6LRmJ1KAluMv4E91DUfJegrCLt94pyHVAmz33ReIWq3uxCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:20:45.412602Z"},"content_sha256":"b45fef9717374155dfb100b42d7363c40068c9be8a5cb9be1227d95007909c3f","schema_version":"1.0","event_id":"sha256:b45fef9717374155dfb100b42d7363c40068c9be8a5cb9be1227d95007909c3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7IZ676F42AFLQIDESUM4ON4ZAQ/bundle.json","state_url":"https://pith.science/pith/7IZ676F42AFLQIDESUM4ON4ZAQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7IZ676F42AFLQIDESUM4ON4ZAQ/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":"2026-08-05T02:20:45Z","links":{"resolver":"https://pith.science/pith/7IZ676F42AFLQIDESUM4ON4ZAQ","bundle":"https://pith.science/pith/7IZ676F42AFLQIDESUM4ON4ZAQ/bundle.json","state":"https://pith.science/pith/7IZ676F42AFLQIDESUM4ON4ZAQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7IZ676F42AFLQIDESUM4ON4ZAQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7IZ676F42AFLQIDESUM4ON4ZAQ","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":"2bb35f4a41b4ced5392403e2a5cf9280a273de05ad464f240cf682ec978ef817","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-10-13T18:40:47Z","title_canon_sha256":"4f58157bccae96f5154a17838171fbedf8823aef0cdbf715c45d84688bf5e1d5"},"schema_version":"1.0","source":{"id":"2510.11836","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.11836","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"arxiv_version","alias_value":"2510.11836v2","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.11836","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"pith_short_12","alias_value":"7IZ676F42AFL","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"pith_short_16","alias_value":"7IZ676F42AFLQIDE","created_at":"2026-07-14T01:20:47Z"},{"alias_kind":"pith_short_8","alias_value":"7IZ676F4","created_at":"2026-07-14T01:20:47Z"}],"graph_snapshots":[{"event_id":"sha256:b45fef9717374155dfb100b42d7363c40068c9be8a5cb9be1227d95007909c3f","target":"graph","created_at":"2026-07-14T01:20:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2510.11836/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work investigates a sign reversal of the shift vector in the Alcubierre Warp Drive geometry and its effect on the nonlinear reduced structure of the Einstein equations. Previous analyses showed that Burgers-type equations can arise in warp drive spacetimes, leading to vacuum solutions under suitable assumptions on the sign of the shift vector and on matter-source reductions. Here, we analyze the original Alcubierre shift-vector sector and show that, under an appropriate mathematical ansatz, the $\\{22\\}$ and $\\{33\\}$ components of the Einstein equations can be formally decomposed into visc","authors_text":"Everton M. C. Abreu, Marcelo B. Ribeiro, Osvaldo L. Santos-Pereira","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-10-13T18:40:47Z","title":"Shift vector sign reversal in the Alcubierre warp drive spacetime geometry and nonlinear Burgers-type dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.11836","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":"sha256:3e35f56f65c1277df887fa901e883f346d366fccbed71ce78f9e583ded9f14dc","target":"record","created_at":"2026-07-14T01:20:47Z","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":"2bb35f4a41b4ced5392403e2a5cf9280a273de05ad464f240cf682ec978ef817","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-10-13T18:40:47Z","title_canon_sha256":"4f58157bccae96f5154a17838171fbedf8823aef0cdbf715c45d84688bf5e1d5"},"schema_version":"1.0","source":{"id":"2510.11836","kind":"arxiv","version":2}},"canonical_sha256":"fa33eff8bcd00ab820649519c73799042ab6da349c74c81966206a4944181df7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa33eff8bcd00ab820649519c73799042ab6da349c74c81966206a4944181df7","first_computed_at":"2026-07-14T01:20:47.011750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:20:47.011750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S3XGD/j2AbMJ9++CDR31Y7y6dBmp8584oFvgsbfBoSZC2g7FZ/pTRF7yHzaudPMMX2azF9YWy+F8MSzNASWeAw==","signature_status":"signed_v1","signed_at":"2026-07-14T01:20:47.012736Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.11836","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e35f56f65c1277df887fa901e883f346d366fccbed71ce78f9e583ded9f14dc","sha256:b45fef9717374155dfb100b42d7363c40068c9be8a5cb9be1227d95007909c3f"],"state_sha256":"144d4a847231eb570005ef7176548561529e82bbdc7f91a4a277f3eb750434f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fQkHZ9O5kwwspEX8a75opZjhHFjCTXwlc8X8XAIZgAQGnHHjwDIQ0r5xIwLSd8JfXfd2U/iO2Hh7VOsDDCtoDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T02:20:45.419912Z","bundle_sha256":"c772618ef7907e20ec31bedefce481d69e507619f3fc78db1356b059a6819b78"}}