{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4F2UESEKTFZGIY6ZGU6JKGV7EL","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":"9f148a7c6c1c93c6c554048263162d7e62dff65a4e331e5e3b577b75a58129c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-07-01T14:29:29Z","title_canon_sha256":"41dbb3cc365b57145d420e4d8419bbb281b7673a6d2a459fb54673317aae244e"},"schema_version":"1.0","source":{"id":"1407.0255","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0255","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0255v2","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0255","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"pith_short_12","alias_value":"4F2UESEKTFZG","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4F2UESEKTFZGIY6Z","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4F2UESEK","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:f6f82ccc65c7123318411024250dc089d9a804288e22dd0472bbb06f1a01b7a3","target":"graph","created_at":"2026-05-17T23:52:08Z","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":"This expository paper features a few highlights of Richard Stanley's extensive work in Ehrhart theory, the study of integer-point enumeration in rational polyhedra. We include results from the recent literature building on Stanley's work, as well as several open problems.","authors_text":"Matthias Beck","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-07-01T14:29:29Z","title":"Stanley's Major Contributions to Ehrhart Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0255","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:ecaa5d0143fc25419e2607cf044e4ff73147327251c92289c02c606ea7a318c3","target":"record","created_at":"2026-05-17T23:52:08Z","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":"9f148a7c6c1c93c6c554048263162d7e62dff65a4e331e5e3b577b75a58129c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-07-01T14:29:29Z","title_canon_sha256":"41dbb3cc365b57145d420e4d8419bbb281b7673a6d2a459fb54673317aae244e"},"schema_version":"1.0","source":{"id":"1407.0255","kind":"arxiv","version":2}},"canonical_sha256":"e17542488a99726463d9353c951abf22e8a22048d8e7f76ae0cb61999f65dda4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e17542488a99726463d9353c951abf22e8a22048d8e7f76ae0cb61999f65dda4","first_computed_at":"2026-05-17T23:52:08.808865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:08.808865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ss4/+1xGB8jG9iHeuKrteLyYFbnkyJ3DKLkBlUXEO9ztVsaoojXJ46Vsmx2AQf+n7c+mDzyt5H8vQqa3SD2XCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:08.809393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.0255","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecaa5d0143fc25419e2607cf044e4ff73147327251c92289c02c606ea7a318c3","sha256:f6f82ccc65c7123318411024250dc089d9a804288e22dd0472bbb06f1a01b7a3"],"state_sha256":"704b731e182ac215d2ba17a7633cef0f7d8db87e991f6b13e193d46367ac89b2"}