{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:J3A5BTJFSK55CWWSD6T3EIN5DV","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":"3411b0283595b783cab75f874e26ce20b2076bae62082c33499af39f291071c9","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-03T22:24:42Z","title_canon_sha256":"e67d356e492fc98bea2acc879a9e96b560463c5ed664cba11cb0ccc57c65314e"},"schema_version":"1.0","source":{"id":"1802.01046","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01046","created_at":"2026-07-05T00:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01046v2","created_at":"2026-07-05T00:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01046","created_at":"2026-07-05T00:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"J3A5BTJFSK55","created_at":"2026-07-05T00:14:28Z"},{"alias_kind":"pith_short_16","alias_value":"J3A5BTJFSK55CWWS","created_at":"2026-07-05T00:14:28Z"},{"alias_kind":"pith_short_8","alias_value":"J3A5BTJF","created_at":"2026-07-05T00:14:28Z"}],"graph_snapshots":[{"event_id":"sha256:c8db39bc554fb04c9aaa3eae3897aa18a1d009df5fd7059694e4f998132f0c74","target":"graph","created_at":"2026-07-05T00:14:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1802.01046/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In 1997 Oda conjectured that every smooth lattice polytope has the integer decomposition property. We prove Oda's conjecture for centrally symmetric $3$-dimensional polytopes, by showing they are covered by lattice parallelepipeds and unimodular simplices.","authors_text":"Akihiro Higashitani, Christian Haase, Johannes Hofscheier, Katharina Jochemko, Lukas Katth\\\"an, Mateusz Micha{\\l}ek, Matthias Beck","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-03T22:24:42Z","title":"Smooth centrally symmetric polytopes in dimension 3 are IDP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01046","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:b4364f2af5ac9806128885df795c09ff169e07708730015c22bb2420e0f72a8a","target":"record","created_at":"2026-07-05T00:14:28Z","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":"3411b0283595b783cab75f874e26ce20b2076bae62082c33499af39f291071c9","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-03T22:24:42Z","title_canon_sha256":"e67d356e492fc98bea2acc879a9e96b560463c5ed664cba11cb0ccc57c65314e"},"schema_version":"1.0","source":{"id":"1802.01046","kind":"arxiv","version":2}},"canonical_sha256":"4ec1d0cd2592bbd15ad21fa7b221bd1d505186f95dd003f06a83b54dd7512936","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ec1d0cd2592bbd15ad21fa7b221bd1d505186f95dd003f06a83b54dd7512936","first_computed_at":"2026-07-05T00:14:28.800038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:14:28.800038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mkK8Hn6mCfytxWdjRGj5uSJ9h1Bwyt8aXkW5PKJ+cJWbwIhQNEO0QUR/wDgBjh65mC8o0IAGDlifmwNJXn3oDw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:14:28.800460Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01046","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4364f2af5ac9806128885df795c09ff169e07708730015c22bb2420e0f72a8a","sha256:c8db39bc554fb04c9aaa3eae3897aa18a1d009df5fd7059694e4f998132f0c74"],"state_sha256":"ca13cadb57243a15abef2c7c0c78dbbb2188b0d1666acf0d5e09baaf8a38dd33"}