{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HIWTNWTNKJ54G55W27ZIFSN5PQ","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":"0325812ca4069bf7910c1c98e3a281fbc1f7665e5ef22623913903cb410eb385","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-11-30T13:08:46Z","title_canon_sha256":"e808e13eb637a1f965ef9d8dd24cddf729783ac3690aa3fb517e7eeeccb9777a"},"schema_version":"1.0","source":{"id":"2311.18528","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.18528","created_at":"2026-07-05T07:51:35Z"},{"alias_kind":"arxiv_version","alias_value":"2311.18528v2","created_at":"2026-07-05T07:51:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.18528","created_at":"2026-07-05T07:51:35Z"},{"alias_kind":"pith_short_12","alias_value":"HIWTNWTNKJ54","created_at":"2026-07-05T07:51:35Z"},{"alias_kind":"pith_short_16","alias_value":"HIWTNWTNKJ54G55W","created_at":"2026-07-05T07:51:35Z"},{"alias_kind":"pith_short_8","alias_value":"HIWTNWTN","created_at":"2026-07-05T07:51:35Z"}],"graph_snapshots":[{"event_id":"sha256:0592e6fd9fe69e9ccf2cad0b2b878d65f1d7b28f4cc2f04d6f1da3623fdfeba6","target":"graph","created_at":"2026-07-05T07:51:35Z","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/2311.18528/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Some top-down problem specifications, if executed directly, may compute sub-problems repeatedly. Instead, we may want a bottom-up algorithm that stores solutions of sub-problems in a table to be reused. It can be tricky, however, to figure out how the table can be represented and efficiently maintained.\n  We study a special case: computing a function $h$ taking lists as inputs such that $h~xs$ is defined in terms of all immediate sublists of $xs$. Richard Bird studied this problem in 2008, and presented a concise but cryptic algorithm without much explanation. We give this algorithm a proper d","authors_text":"Shin-Cheng Mu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-11-30T13:08:46Z","title":"Bottom-up computation using trees of sublists (Functional Pearl)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.18528","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:ee814b989f3454031e896c6e286f1a04b3ed74e9870edd7cb6b62fa616a67028","target":"record","created_at":"2026-07-05T07:51:35Z","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":"0325812ca4069bf7910c1c98e3a281fbc1f7665e5ef22623913903cb410eb385","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-11-30T13:08:46Z","title_canon_sha256":"e808e13eb637a1f965ef9d8dd24cddf729783ac3690aa3fb517e7eeeccb9777a"},"schema_version":"1.0","source":{"id":"2311.18528","kind":"arxiv","version":2}},"canonical_sha256":"3a2d36da6d527bc377b6d7f282c9bd7c08014a0bb4bee77cc91a0661144fdeb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a2d36da6d527bc377b6d7f282c9bd7c08014a0bb4bee77cc91a0661144fdeb6","first_computed_at":"2026-07-05T07:51:35.905825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:51:35.905825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o7YM7lEpJcQYCtJvxuvZSOpsAu1fUcQ2Y7osOZuNNqiHqwIL6FW69YbcQWwu2A5DhYNwVUGukUvO95NEhM/PBg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:51:35.906286Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.18528","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee814b989f3454031e896c6e286f1a04b3ed74e9870edd7cb6b62fa616a67028","sha256:0592e6fd9fe69e9ccf2cad0b2b878d65f1d7b28f4cc2f04d6f1da3623fdfeba6"],"state_sha256":"4676361c2fb9e067b07d43fe335e7d7f67decd1e02feadae2b50bdd1e1dbe032"}