{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JZMJEB7PBDBIEAYGVSK5SUSPEE","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":"ed6eb9d7f10fc7b9d4d6189e800cec4b8358594a8a72c9c029f4117afbf5ef99","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-07-05T09:28:08Z","title_canon_sha256":"7bdc3cc7f4b226de581b20d6885097f81bf097a2fccb21a5b7a81defd213c827"},"schema_version":"1.0","source":{"id":"1607.01163","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01163","created_at":"2026-05-18T00:18:54Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01163v2","created_at":"2026-05-18T00:18:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01163","created_at":"2026-05-18T00:18:54Z"},{"alias_kind":"pith_short_12","alias_value":"JZMJEB7PBDBI","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JZMJEB7PBDBIEAYG","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JZMJEB7P","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:71c5f71a78c811c75f29ded9b9a2f6afaf75531be191d9a13559f6e0cb3cd88f","target":"graph","created_at":"2026-05-18T00:18:54Z","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":"We give a uniform proof for the conjectured Gromov width of coadjoint orbits of all compact connected simple Lie groups, by analyzing simplices in Newton-Okounkov bodies.","authors_text":"Milena Pabiniak, Peter Littelmann, Xin Fang","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-07-05T09:28:08Z","title":"Simplices in Newton-Okounkov bodies and the Gromov width of coadjoint orbits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01163","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:d443697d7045f4249fd0f146957c86b53853171682ccef5813a2028490d45e9f","target":"record","created_at":"2026-05-18T00:18:54Z","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":"ed6eb9d7f10fc7b9d4d6189e800cec4b8358594a8a72c9c029f4117afbf5ef99","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-07-05T09:28:08Z","title_canon_sha256":"7bdc3cc7f4b226de581b20d6885097f81bf097a2fccb21a5b7a81defd213c827"},"schema_version":"1.0","source":{"id":"1607.01163","kind":"arxiv","version":2}},"canonical_sha256":"4e589207ef08c2820306ac95d9524f21316476519c81d31f5a6e1b398f747c2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e589207ef08c2820306ac95d9524f21316476519c81d31f5a6e1b398f747c2d","first_computed_at":"2026-05-18T00:18:54.173669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:54.173669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LYXDHuUnF2/ud0f+t2AS2B7ZTaVwMlKfjfRKOvhFMgAdi3gFz+wHyKs94i+yw86hIhnal5WTLhpMe3xMbOGuCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:54.174252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01163","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d443697d7045f4249fd0f146957c86b53853171682ccef5813a2028490d45e9f","sha256:71c5f71a78c811c75f29ded9b9a2f6afaf75531be191d9a13559f6e0cb3cd88f"],"state_sha256":"2e9ac2b72ef489feeb7295f70cd7a4452ca29b087482cae3b851950f9e378ad4"}