{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IJ47NBO7O53HQ2ZIP6BPYKAPMV","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":"d82ac3cd27e0204cee53a575f81cd816ef37bcefe0d7ed53fcb1143dc918d5a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-06-20T09:30:04Z","title_canon_sha256":"65b634c6c94cc03a14430401dda13f78b2151c783c27d22a0e36d1c524a72743"},"schema_version":"1.0","source":{"id":"1606.06028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06028","created_at":"2026-05-18T01:06:28Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06028v2","created_at":"2026-05-18T01:06:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06028","created_at":"2026-05-18T01:06:28Z"},{"alias_kind":"pith_short_12","alias_value":"IJ47NBO7O53H","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IJ47NBO7O53HQ2ZI","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IJ47NBO7","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:64e75f65c58986c9f3385d30b97745ccc19f8a6603622b523bc69c720b000f38","target":"graph","created_at":"2026-05-18T01:06:28Z","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":"For valuations on convex bodies in Euclidean spaces, there is by now a long series of characterization and classification theorems. The classical template is Hadwiger's theorem, saying that every rigid motion invariant, continuous, real-valued valuation on convex bodies in $\\mathbb{R}^n$ is a linear combination of the intrinsic volumes. For tensor-valued valuations, under the assumptions of isometry covariance and continuity, there is a similar classification theorem, due to Alesker. Also for the local extensions of the intrinsic volumes, the support, curvature and area measures, there are ana","authors_text":"Daniel Hug, Rolf Schneider","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-06-20T09:30:04Z","title":"Rotation covariant local tensor valuations on convex bodies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06028","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":"sha256:68cf76afcc847de17d139876a5e8bc40cc46f279e26aaadc44cca8f36a05f669","target":"record","created_at":"2026-05-18T01:06:28Z","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":"d82ac3cd27e0204cee53a575f81cd816ef37bcefe0d7ed53fcb1143dc918d5a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-06-20T09:30:04Z","title_canon_sha256":"65b634c6c94cc03a14430401dda13f78b2151c783c27d22a0e36d1c524a72743"},"schema_version":"1.0","source":{"id":"1606.06028","kind":"arxiv","version":2}},"canonical_sha256":"4279f685df7776786b287f82fc280f657b0e98921ced858229a760ee62d0f2a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4279f685df7776786b287f82fc280f657b0e98921ced858229a760ee62d0f2a9","first_computed_at":"2026-05-18T01:06:28.539545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:28.539545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dUkIPk5wE77Abe4U0ECb0zBDhWDSE6UVmQ8/yLd2x5X7mzpmbq5aFEpsURXY0av7c2rv8ZDydqBDzaUcwp2mCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:28.540055Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68cf76afcc847de17d139876a5e8bc40cc46f279e26aaadc44cca8f36a05f669","sha256:64e75f65c58986c9f3385d30b97745ccc19f8a6603622b523bc69c720b000f38"],"state_sha256":"c50b84a0874d4f75bc2e3904945eb89ac789f19601222b84eecc0d92b26ea2a6"}