{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ABSRLTUTLCBP6LHHWNEW67HTPM","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":"1adf936f67c836de66b5f4504d644b1c0d436f8ae28f1e44dcf78a72a28781d3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"cs.PL","submitted_at":"2014-01-07T18:01:41Z","title_canon_sha256":"4d02d51a3891a2d167345b684b80af6ee418868ecf8c4d9051b880219b11b4f5"},"schema_version":"1.0","source":{"id":"1401.1460","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.1460","created_at":"2026-05-18T01:25:24Z"},{"alias_kind":"arxiv_version","alias_value":"1401.1460v5","created_at":"2026-05-18T01:25:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1460","created_at":"2026-05-18T01:25:24Z"},{"alias_kind":"pith_short_12","alias_value":"ABSRLTUTLCBP","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ABSRLTUTLCBP6LHH","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ABSRLTUT","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:34a639c1d97c22c9f23bad19525df8593ab23905122c41e8ce47706336e52343","target":"graph","created_at":"2026-05-18T01:25:24Z","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":"Increasing sharing in programs is desirable to compactify the code, and to avoid duplication of reduction work at run-time, thereby speeding up execution. We show how a maximal degree of sharing can be obtained for programs expressed as terms in the lambda calculus with letrec. We introduce a notion of `maximal compactness' for lambda-letrec-terms among all terms with the same infinite unfolding. Instead of defined purely syntactically, this notion is based on a graph semantics. lambda-letrec-terms are interpreted as first-order term graphs so that unfolding equivalence between terms is preser","authors_text":"Clemens Grabmayer, Jan Rochel","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"cs.PL","submitted_at":"2014-01-07T18:01:41Z","title":"Maximal Sharing in the Lambda Calculus with letrec"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1460","kind":"arxiv","version":5},"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":"sha256:0118cdf59108db7d1e06e26395444ce991e6582311963f4d543e099a3ab1e6ed","target":"record","created_at":"2026-05-18T01:25:24Z","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":"1adf936f67c836de66b5f4504d644b1c0d436f8ae28f1e44dcf78a72a28781d3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"cs.PL","submitted_at":"2014-01-07T18:01:41Z","title_canon_sha256":"4d02d51a3891a2d167345b684b80af6ee418868ecf8c4d9051b880219b11b4f5"},"schema_version":"1.0","source":{"id":"1401.1460","kind":"arxiv","version":5}},"canonical_sha256":"006515ce935882ff2ce7b3496f7cf37b08e8bb396a8e76feedc0eecce21e5033","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"006515ce935882ff2ce7b3496f7cf37b08e8bb396a8e76feedc0eecce21e5033","first_computed_at":"2026-05-18T01:25:24.783794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:24.783794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C2U3dYkIalHNEvkAEIakqrtKcA8p04CWnBOf+tDAr+pWrusD0Nf4zazneaxinFhb33Jil364/se/D+ppcnnECw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:24.784391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.1460","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0118cdf59108db7d1e06e26395444ce991e6582311963f4d543e099a3ab1e6ed","sha256:34a639c1d97c22c9f23bad19525df8593ab23905122c41e8ce47706336e52343"],"state_sha256":"0510bc48dd839578a2e901bb638962745fa2ef3ddb50eb23b3feabd6c418f1f1"}