{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HYAX6W6V4CG3L3F2F3L6OAFGT7","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":"9d9d0850da6afac531c035a9982a4c5615eb537aae8156e97760fa925441a57d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-05-17T10:26:04Z","title_canon_sha256":"74e6e55a4ed9bd173fda01b71dc850f8ffc5770ba329f80e9d4e7584f3ee5ed2"},"schema_version":"1.0","source":{"id":"1405.4376","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4376","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4376v3","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4376","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"pith_short_12","alias_value":"HYAX6W6V4CG3","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"HYAX6W6V4CG3L3F2","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"HYAX6W6V","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:30e86ed931e665ed703b4a63916e89a69f0c8a264d74c93f816802d6b57c6760","target":"graph","created_at":"2026-05-18T00:53:24Z","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":"The classical Minkowski problem in Minkowski space asks, for a positive function $\\phi$ on $\\mathbb{H}^d$, for a convex set $K$ in Minkowski space with $C^2$ space-like boundary $S$, such that $\\phi(\\eta)^{-1}$ is the Gauss--Kronecker curvature at the point with normal $\\eta$. Analogously to the Euclidean case, it is possible to formulate a weak version of this problem: given a Radon measure $\\mu$ on $\\mathbb{H}^d$ the generalized Minkowski problem in Minkowski space asks for a convex subset $K$ such that the area measure of $K$ is $\\mu$.\n  In the present paper we look at an equivariant versio","authors_text":"Fran\\c{c}ois Fillastre, Francesco Bonsante","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-05-17T10:26:04Z","title":"The equivariant Minkowski problem in Minkowski space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4376","kind":"arxiv","version":3},"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":"sha256:78b3b5347c55eb498adac2bb142f8df84b6622e5f457183c1cd11e6292b76607","target":"record","created_at":"2026-05-18T00:53:24Z","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":"9d9d0850da6afac531c035a9982a4c5615eb537aae8156e97760fa925441a57d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-05-17T10:26:04Z","title_canon_sha256":"74e6e55a4ed9bd173fda01b71dc850f8ffc5770ba329f80e9d4e7584f3ee5ed2"},"schema_version":"1.0","source":{"id":"1405.4376","kind":"arxiv","version":3}},"canonical_sha256":"3e017f5bd5e08db5ecba2ed7e700a69fdbe29d74343ed5b6c69455c7ff39ca1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e017f5bd5e08db5ecba2ed7e700a69fdbe29d74343ed5b6c69455c7ff39ca1d","first_computed_at":"2026-05-18T00:53:24.831643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:24.831643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vycKDNcU97cY8hD3SrPz7xuuIPQ/GG9wurE51QVuEShLjauVRnZuumquJR2CVyhSE+ClvLFaaBAQAtPIDDBICg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:24.832118Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4376","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78b3b5347c55eb498adac2bb142f8df84b6622e5f457183c1cd11e6292b76607","sha256:30e86ed931e665ed703b4a63916e89a69f0c8a264d74c93f816802d6b57c6760"],"state_sha256":"127aa1feddc9c1fe46071db540726a4f9abd1f991a41224de49c679484701260"}