{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PIQ7FLFP57T436PVXSFW75XSG2","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":"6f2b5ec19ee4f5e526b182e7f24b425f30f76e598e032b63f1583bc4ea5d9495","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-19T12:25:56Z","title_canon_sha256":"0442a6df5b1ada4e10479be8ba9b7e246d751fa2c950df1ca258cdc0efa5da14"},"schema_version":"1.0","source":{"id":"2607.17223","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.17223","created_at":"2026-07-21T01:21:22Z"},{"alias_kind":"arxiv_version","alias_value":"2607.17223v1","created_at":"2026-07-21T01:21:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.17223","created_at":"2026-07-21T01:21:22Z"},{"alias_kind":"pith_short_12","alias_value":"PIQ7FLFP57T4","created_at":"2026-07-21T01:21:22Z"},{"alias_kind":"pith_short_16","alias_value":"PIQ7FLFP57T436PV","created_at":"2026-07-21T01:21:22Z"},{"alias_kind":"pith_short_8","alias_value":"PIQ7FLFP","created_at":"2026-07-21T01:21:22Z"}],"graph_snapshots":[{"event_id":"sha256:c7a3786e61b29d821e4087d5a6f5784071b30eca63bf45a66bf2f144ada4c760","target":"graph","created_at":"2026-07-21T01:21:22Z","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/2607.17223/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We identify two general obstructions to a regular rotating constant-norm vector vacua. Firstly, at the poles of a nondegenerate bifurcation surface, horizon and axial invariance force every smooth symmetry-inheriting one-form to vanish, contradicting a strictly nonzero constant norm. Secondly, we show that a conicity varying along a rotation axis generates a singular curvature that diverges as the inverse proper distance from the axis. We apply these results to a general three parameter family Kerr-disformal solution in Einstein--bumblebee gravity. Consequently, its vector vacuum is not smooth","authors_text":"Minyong Guo, Zhong-Ying Fan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-19T12:25:56Z","title":"Axial Obstructions to Rotating Bumblebee Vacuum Solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17223","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":"sha256:059a9dbfd7acd3551c183ecd0c923019f852a6cc6c06770b67ae3e869ade4016","target":"record","created_at":"2026-07-21T01:21:22Z","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":"6f2b5ec19ee4f5e526b182e7f24b425f30f76e598e032b63f1583bc4ea5d9495","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-19T12:25:56Z","title_canon_sha256":"0442a6df5b1ada4e10479be8ba9b7e246d751fa2c950df1ca258cdc0efa5da14"},"schema_version":"1.0","source":{"id":"2607.17223","kind":"arxiv","version":1}},"canonical_sha256":"7a21f2acafefe7cdf9f5bc8b6ff6f236a8bbd0140e5bba05768bfacbde27845f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a21f2acafefe7cdf9f5bc8b6ff6f236a8bbd0140e5bba05768bfacbde27845f","first_computed_at":"2026-07-21T01:21:22.441534Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:21:22.441534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"58EmZEX+VztITxcCnXU8A3fRJL/tKJhnVZqRmyhluxZMUWO4KKZCmv0+9XmvQ0H50I2np4hIpY+1wbzwA5z3DA==","signature_status":"signed_v1","signed_at":"2026-07-21T01:21:22.442468Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.17223","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:059a9dbfd7acd3551c183ecd0c923019f852a6cc6c06770b67ae3e869ade4016","sha256:c7a3786e61b29d821e4087d5a6f5784071b30eca63bf45a66bf2f144ada4c760"],"state_sha256":"d58f443d6ba0c728a15eb0c85ad4622f978a971746544aa35fef493754df2006"}