{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HY5AMLUOTOCBCC2IN3OY4G2JCZ","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":"73fd5dedf68c028fa5ed543fbbc32f5ef0c4b19b290dd6265bd65e4377d755aa","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-08-02T13:19:14Z","title_canon_sha256":"1282de22675aa9a4c44ead90046a509af630d3af9e5f384cf491820aeb80307a"},"schema_version":"1.0","source":{"id":"1308.1034","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.1034","created_at":"2026-05-18T03:08:06Z"},{"alias_kind":"arxiv_version","alias_value":"1308.1034v3","created_at":"2026-05-18T03:08:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1034","created_at":"2026-05-18T03:08:06Z"},{"alias_kind":"pith_short_12","alias_value":"HY5AMLUOTOCB","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HY5AMLUOTOCBCC2I","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HY5AMLUO","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:4294be15851479dc382a3fb75a8c819822d951f623f25ab823b0110f4a49a90a","target":"graph","created_at":"2026-05-18T03:08:06Z","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 study various representations for cyclic lambda-terms as higher-order or as first-order term graphs. We focus on the relation between `lambda-higher-order term graphs' (lambda-ho-term-graphs), which are first-order term graphs endowed with a well-behaved scope function, and their representations as `lambda-term-graphs', which are plain first-order term graphs with scope-delimiter vertices that meet certain scoping requirements. Specifically we tackle the question: Which class of first-order term graphs admits a faithful embedding of lambda-ho-term-graphs in the sense that: (i) the homomorph","authors_text":"Clemens Grabmayer, Jan Rochel","cross_cats":["cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-08-02T13:19:14Z","title":"Term Graph Representations for Cyclic Lambda-Terms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1034","kind":"arxiv","version":3},"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":"sha256:2913b06d9e2c190350f4c9bb73e6085dd511cbc451126a175193a74d3bbf6ff3","target":"record","created_at":"2026-05-18T03:08:06Z","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":"73fd5dedf68c028fa5ed543fbbc32f5ef0c4b19b290dd6265bd65e4377d755aa","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-08-02T13:19:14Z","title_canon_sha256":"1282de22675aa9a4c44ead90046a509af630d3af9e5f384cf491820aeb80307a"},"schema_version":"1.0","source":{"id":"1308.1034","kind":"arxiv","version":3}},"canonical_sha256":"3e3a062e8e9b84110b486edd8e1b49164c9d9585b81538f096ce31a374f5b055","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e3a062e8e9b84110b486edd8e1b49164c9d9585b81538f096ce31a374f5b055","first_computed_at":"2026-05-18T03:08:06.816253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:06.816253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+eQ5V00gJmq9RQ6b+ujgcX8u4So72j61nlFr+8zbbMFoVBVC5dYi8GLK19aJfrIn6CDACwJr89e0ratppIcsDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:06.817044Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.1034","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2913b06d9e2c190350f4c9bb73e6085dd511cbc451126a175193a74d3bbf6ff3","sha256:4294be15851479dc382a3fb75a8c819822d951f623f25ab823b0110f4a49a90a"],"state_sha256":"7061eb74c3f668121db254b91b5fccb836fdca49cd8f0cb3a73bfd4854557baa"}