{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Z22WIRWA25GGVC2EJJ3KPIMYBS","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":"56f050f06b6b58d42315ae49dff16343c308a4fcb3e9b0f8f790db3512826fc4","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-06-30T17:20:47Z","title_canon_sha256":"1eeb472aed4add141c1e857fbf33656e5e80cd099b6e2a334de20afb35274f51"},"schema_version":"1.0","source":{"id":"2506.24067","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.24067","created_at":"2026-06-01T01:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"2506.24067v2","created_at":"2026-06-01T01:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.24067","created_at":"2026-06-01T01:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"Z22WIRWA25GG","created_at":"2026-06-01T01:02:17Z"},{"alias_kind":"pith_short_16","alias_value":"Z22WIRWA25GGVC2E","created_at":"2026-06-01T01:02:17Z"},{"alias_kind":"pith_short_8","alias_value":"Z22WIRWA","created_at":"2026-06-01T01:02:17Z"}],"graph_snapshots":[{"event_id":"sha256:6d5386d7216719455b894bc3d25455b58a4c9655dfae6076e6e272f59d7b1ad4","target":"graph","created_at":"2026-06-01T01:02:17Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"The real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The underlying manifold is real-analytic, and for the ray transform injectivity result it is two-dimensional, non-trapping, and has strictly convex boundary (abstract states these conditions for the applications)."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Real-analytic matrix-weighted double fibration transforms determine the analytic wavefront set of vector-valued functions, implying injectivity of the matrix weighted ray transform on 2D non-trapping real-analytic Riemannian manifolds with strictly convex boundary and uniqueness of real-analytic H"},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function."}],"snapshot_sha256":"6f987c558785065f6f893f940e7678d227e401b6c9883416f67ce7e0c00365e4"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.24067/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function. We apply this result to show that the matrix weighted ray transform is injective on a two-dimensional, non-trapping, real-analytic Riemannian manifold with strictly convex boundary. Additionally, we show that a real-analytic Higgs field can be uniquely determined from the nonabelian ray transform on real-analytic Riemannian manifolds of any dimension with a strictly convex boundary point.","authors_text":"Hiroyuki Chihara, Jesse Railo, Shubham R. Jathar","cross_cats":["math.DG"],"headline":"The real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-06-30T17:20:47Z","title":"The matrix weighted real-analytic double fibration transforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.24067","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-19T06:49:37.090341Z","id":"1d71f4f3-12a0-40b1-8aaa-44e82288d231","model_set":{"reader":"grok-4.3"},"one_line_summary":"Real-analytic matrix-weighted double fibration transforms determine the analytic wavefront set of vector-valued functions, implying injectivity of the matrix weighted ray transform on 2D non-trapping real-analytic Riemannian manifolds with strictly convex boundary and uniqueness of real-analytic H","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function.","strongest_claim":"The real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function.","weakest_assumption":"The underlying manifold is real-analytic, and for the ray transform injectivity result it is two-dimensional, non-trapping, and has strictly convex boundary (abstract states these conditions for the applications)."}},"verdict_id":"1d71f4f3-12a0-40b1-8aaa-44e82288d231"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2aabc07554a37a33ce1c1872e4786289de946123cadd1a62cd14caa80a408481","target":"record","created_at":"2026-06-01T01:02:17Z","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":"56f050f06b6b58d42315ae49dff16343c308a4fcb3e9b0f8f790db3512826fc4","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-06-30T17:20:47Z","title_canon_sha256":"1eeb472aed4add141c1e857fbf33656e5e80cd099b6e2a334de20afb35274f51"},"schema_version":"1.0","source":{"id":"2506.24067","kind":"arxiv","version":2}},"canonical_sha256":"ceb56446c0d74c6a8b444a76a7a1980c9ac06119eac60df9118d8b5db35ebc2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ceb56446c0d74c6a8b444a76a7a1980c9ac06119eac60df9118d8b5db35ebc2c","first_computed_at":"2026-06-01T01:02:17.084530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:02:17.084530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VX2M0iszUjr3Of7sAPc3ABGARsHq/kHoHkz+GhN9W9VbkiqJRn4ROonWdzlWxgPtYQ83c3e+hf5gkshVtzfIDg==","signature_status":"signed_v1","signed_at":"2026-06-01T01:02:17.085469Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.24067","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2aabc07554a37a33ce1c1872e4786289de946123cadd1a62cd14caa80a408481","sha256:6d5386d7216719455b894bc3d25455b58a4c9655dfae6076e6e272f59d7b1ad4"],"state_sha256":"cf6b7785ef6c3402ffc1739e0cabde194f8ef4712160a693505fa846b2174b57"}