{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HY5AMLUOTOCBCC2IN3OY4G2JCZ","short_pith_number":"pith:HY5AMLUO","schema_version":"1.0","canonical_sha256":"3e3a062e8e9b84110b486edd8e1b49164c9d9585b81538f096ce31a374f5b055","source":{"kind":"arxiv","id":"1308.1034","version":3},"attestation_state":"computed","paper":{"title":"Term Graph Representations for Cyclic Lambda-Terms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL"],"primary_cat":"cs.LO","authors_text":"Clemens Grabmayer, Jan Rochel","submitted_at":"2013-08-02T13:19:14Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1308.1034","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-08-02T13:19:14Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"1282de22675aa9a4c44ead90046a509af630d3af9e5f384cf491820aeb80307a","abstract_canon_sha256":"73fd5dedf68c028fa5ed543fbbc32f5ef0c4b19b290dd6265bd65e4377d755aa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:06.817044Z","signature_b64":"+eQ5V00gJmq9RQ6b+ujgcX8u4So72j61nlFr+8zbbMFoVBVC5dYi8GLK19aJfrIn6CDACwJr89e0ratppIcsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e3a062e8e9b84110b486edd8e1b49164c9d9585b81538f096ce31a374f5b055","last_reissued_at":"2026-05-18T03:08:06.816253Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:06.816253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Term Graph Representations for Cyclic Lambda-Terms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL"],"primary_cat":"cs.LO","authors_text":"Clemens Grabmayer, Jan Rochel","submitted_at":"2013-08-02T13:19:14Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1034","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1308.1034","created_at":"2026-05-18T03:08:06.816392+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.1034v3","created_at":"2026-05-18T03:08:06.816392+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1034","created_at":"2026-05-18T03:08:06.816392+00:00"},{"alias_kind":"pith_short_12","alias_value":"HY5AMLUOTOCB","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HY5AMLUOTOCBCC2I","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HY5AMLUO","created_at":"2026-05-18T12:27:46.883200+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HY5AMLUOTOCBCC2IN3OY4G2JCZ","json":"https://pith.science/pith/HY5AMLUOTOCBCC2IN3OY4G2JCZ.json","graph_json":"https://pith.science/api/pith-number/HY5AMLUOTOCBCC2IN3OY4G2JCZ/graph.json","events_json":"https://pith.science/api/pith-number/HY5AMLUOTOCBCC2IN3OY4G2JCZ/events.json","paper":"https://pith.science/paper/HY5AMLUO"},"agent_actions":{"view_html":"https://pith.science/pith/HY5AMLUOTOCBCC2IN3OY4G2JCZ","download_json":"https://pith.science/pith/HY5AMLUOTOCBCC2IN3OY4G2JCZ.json","view_paper":"https://pith.science/paper/HY5AMLUO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.1034&json=true","fetch_graph":"https://pith.science/api/pith-number/HY5AMLUOTOCBCC2IN3OY4G2JCZ/graph.json","fetch_events":"https://pith.science/api/pith-number/HY5AMLUOTOCBCC2IN3OY4G2JCZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HY5AMLUOTOCBCC2IN3OY4G2JCZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HY5AMLUOTOCBCC2IN3OY4G2JCZ/action/storage_attestation","attest_author":"https://pith.science/pith/HY5AMLUOTOCBCC2IN3OY4G2JCZ/action/author_attestation","sign_citation":"https://pith.science/pith/HY5AMLUOTOCBCC2IN3OY4G2JCZ/action/citation_signature","submit_replication":"https://pith.science/pith/HY5AMLUOTOCBCC2IN3OY4G2JCZ/action/replication_record"}},"created_at":"2026-05-18T03:08:06.816392+00:00","updated_at":"2026-05-18T03:08:06.816392+00:00"}