{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2JBC5ERZYAMJFASP5XVV2RC446","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":"5beafe57fe1bab4c7f8edcfa7a098f653e16f64beec1835dd3b3037841d4d402","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-02-13T06:00:59Z","title_canon_sha256":"ce7171e437e75104b56355696b81c96db7d9cce98cd900eab4ea992c4f1b1e56"},"schema_version":"1.0","source":{"id":"1402.3036","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3036","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3036v1","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3036","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"pith_short_12","alias_value":"2JBC5ERZYAMJ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2JBC5ERZYAMJFASP","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2JBC5ERZ","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:fce35ece3cca604598bf2b771fa24457301fcc5b3df778272b9c7ff1766046ab","target":"graph","created_at":"2026-05-18T02:59:08Z","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":"We give a new algorithm to construct optimal alphabetic ternary trees, where every internal node has at most three children. This algorithm generalizes the classic Hu-Tucker algorithm, though the overall computational complexity has yet to be determined.","authors_text":"J. David Morgenthaler, T. C. Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-02-13T06:00:59Z","title":"Optimal Alphabetic Ternary Trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3036","kind":"arxiv","version":1},"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":"sha256:5714b22bbfdc750684171ab264a60b75d4ef9bb285b0c65528cd2f2dae0377cd","target":"record","created_at":"2026-05-18T02:59:08Z","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":"5beafe57fe1bab4c7f8edcfa7a098f653e16f64beec1835dd3b3037841d4d402","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-02-13T06:00:59Z","title_canon_sha256":"ce7171e437e75104b56355696b81c96db7d9cce98cd900eab4ea992c4f1b1e56"},"schema_version":"1.0","source":{"id":"1402.3036","kind":"arxiv","version":1}},"canonical_sha256":"d2422e9239c01892824fedeb5d445ce79af94cd1f3c0674c5bf1fb762475d70c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2422e9239c01892824fedeb5d445ce79af94cd1f3c0674c5bf1fb762475d70c","first_computed_at":"2026-05-18T02:59:08.013141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:08.013141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DKtrwyyy/vbrtvTOdjPo6qMRX0vFsPSNQV1n1rxPX5pmyIWYu2FQt+ZyImHEFY5QaP+ReDj9c4VJxthQNuvYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:08.013723Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3036","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5714b22bbfdc750684171ab264a60b75d4ef9bb285b0c65528cd2f2dae0377cd","sha256:fce35ece3cca604598bf2b771fa24457301fcc5b3df778272b9c7ff1766046ab"],"state_sha256":"a3706bccd02fab40252bec77abcb74d3a77b3cfedf5f21c5dc82ada8665cbc74"}