{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OT24Q6EVU74HABDJKV3HCKJOQX","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":"f96a2492f7c8e3803d94630468dfdfabe65a6389ba73b0705c08c29171f6d299","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-18T15:14:03Z","title_canon_sha256":"4212c47897428817e32792b170d46b4826d0ca2eb6c1804b4cac2c81cd63f477"},"schema_version":"1.0","source":{"id":"1806.06759","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06759","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06759v2","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06759","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"pith_short_12","alias_value":"OT24Q6EVU74H","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OT24Q6EVU74HABDJ","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OT24Q6EV","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:6034b5891b05731306fc4bf7f9465e407449bd6d21337e554ea5997027eb43da","target":"graph","created_at":"2026-05-18T00:06:50Z","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":"In 2005, Abramsky introduced various linear/affine combinatory algebras of partial involutions over a suitable formal language, to discuss reversible computation in a game-theoretic setting. These algebras arise as instances of the general paradigm explored by Haghverdi (Abramsky's Programme), which amounts to defining a lambda-algebra starting from a GoI Situation in a traced symmetric monoidal category. We investigate this construction from the point of view of the model theory of lambda-calculus. We focus on the strictly linear and affine parts of Abramsky's Affine Combinatory Algebras, ske","authors_text":"Alberto Ciaffaglione, Furio Honsell, Ivan Scagnetto, Marina Lenisa","cross_cats":["cs.FL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-18T15:14:03Z","title":"Lambda-calculus and Reversible Automatic Combinators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06759","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:b28ddf7618620fe4a6e29574a364284800c2bbc8378a3b6742a0007c7b4caad6","target":"record","created_at":"2026-05-18T00:06:50Z","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":"f96a2492f7c8e3803d94630468dfdfabe65a6389ba73b0705c08c29171f6d299","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-18T15:14:03Z","title_canon_sha256":"4212c47897428817e32792b170d46b4826d0ca2eb6c1804b4cac2c81cd63f477"},"schema_version":"1.0","source":{"id":"1806.06759","kind":"arxiv","version":2}},"canonical_sha256":"74f5c87895a7f8700469557671292e85f1603a1ff2beaa95eeea3628b0c96da2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74f5c87895a7f8700469557671292e85f1603a1ff2beaa95eeea3628b0c96da2","first_computed_at":"2026-05-18T00:06:50.609046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:50.609046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IiXZN7qaxgucsEfbL+hR5P7Ka8ivPT/IKz7zvWOvMWgSwHNzZToGafDcfxRIAiKIBUENPm6uo3wvwZznf176Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:50.609696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06759","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b28ddf7618620fe4a6e29574a364284800c2bbc8378a3b6742a0007c7b4caad6","sha256:6034b5891b05731306fc4bf7f9465e407449bd6d21337e554ea5997027eb43da"],"state_sha256":"4b53ca9d57a6928d9adba9ec46f684977c3eedfe7a8e4d3a996c1b72b960e79e"}