{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NROH3B7Z3HVWD2IGY7DBLRVZWI","short_pith_number":"pith:NROH3B7Z","canonical_record":{"source":{"id":"1604.02086","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-07T17:42:39Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"3e989ea61959405fb14c8623436e706bc46eede9d3a89126b417cd34699ac1a3","abstract_canon_sha256":"6132d8f462303fbc8a85c026de9d61e87b348d8fea931d2cc7e62880603cea09"},"schema_version":"1.0"},"canonical_sha256":"6c5c7d87f9d9eb61e906c7c615c6b9b20ab975d9cec17cac48892d16bc428444","source":{"kind":"arxiv","id":"1604.02086","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02086","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02086v2","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02086","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"pith_short_12","alias_value":"NROH3B7Z3HVW","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NROH3B7Z3HVWD2IG","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NROH3B7Z","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NROH3B7Z3HVWD2IGY7DBLRVZWI","target":"record","payload":{"canonical_record":{"source":{"id":"1604.02086","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-07T17:42:39Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"3e989ea61959405fb14c8623436e706bc46eede9d3a89126b417cd34699ac1a3","abstract_canon_sha256":"6132d8f462303fbc8a85c026de9d61e87b348d8fea931d2cc7e62880603cea09"},"schema_version":"1.0"},"canonical_sha256":"6c5c7d87f9d9eb61e906c7c615c6b9b20ab975d9cec17cac48892d16bc428444","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:54.645105Z","signature_b64":"0vDv3m61PQdUvz4rA/SejVG+30iPIzjzvlVoSNs38AhAF+JiSg+55I7SflyIEiiLuiz5Y4UIB0YcLpoApWSyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c5c7d87f9d9eb61e906c7c615c6b9b20ab975d9cec17cac48892d16bc428444","last_reissued_at":"2026-05-18T00:48:54.644350Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:54.644350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.02086","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:48:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GsrT/vZbUNPn0+j/Krdp+35Q5oXMGP20CJun2PVXIaxaS9EkIuqB38taf20ac45DOrFrGXu4VsrObnVr496JCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:57:35.279752Z"},"content_sha256":"cc2ffb9ca8eedf10bf03e0e0e550df3cd28e0bf7a61b175da3a3ed187ea12a1c","schema_version":"1.0","event_id":"sha256:cc2ffb9ca8eedf10bf03e0e0e550df3cd28e0bf7a61b175da3a3ed187ea12a1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NROH3B7Z3HVWD2IGY7DBLRVZWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inhabitation in Simply-Typed Lambda-Calculus through a Lambda-Calculus for Proof Search","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"cs.LO","authors_text":"Jos\\'e Esp\\'irito Santo, Lu\\'is Pinto, Ralph Matthes","submitted_at":"2016-04-07T17:42:39Z","abstract_excerpt":"A new, comprehensive approach to inhabitation problems in simply-typed lambda-calculus is shown, dealing with both decision and counting problems. This approach works by exploiting a representation of the search space generated by a given inhabitation problem, which is in terms of a lambda-calculus for proof search that the authors developed recently. The representation may be seen as extending the Curry-Howard representation of proofs by lambda-terms, staying within the methods of lambda-calculus and type systems. Our methodology reveals inductive descriptions of the decision problems, driven"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02086","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:48:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fdLzZkOtBA84OB3/hHF0g2NeGNzCPRmDmLDPPrFgOOieLNxp1Ny/GNhPXeGVyi3MuHvkt6QaHinDN5lvh8tVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:57:35.280597Z"},"content_sha256":"47543c066d2e1abc8d6146e4dd4b14f9714c2153164acb660695447c46d8f730","schema_version":"1.0","event_id":"sha256:47543c066d2e1abc8d6146e4dd4b14f9714c2153164acb660695447c46d8f730"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NROH3B7Z3HVWD2IGY7DBLRVZWI/bundle.json","state_url":"https://pith.science/pith/NROH3B7Z3HVWD2IGY7DBLRVZWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NROH3B7Z3HVWD2IGY7DBLRVZWI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T17:57:35Z","links":{"resolver":"https://pith.science/pith/NROH3B7Z3HVWD2IGY7DBLRVZWI","bundle":"https://pith.science/pith/NROH3B7Z3HVWD2IGY7DBLRVZWI/bundle.json","state":"https://pith.science/pith/NROH3B7Z3HVWD2IGY7DBLRVZWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NROH3B7Z3HVWD2IGY7DBLRVZWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NROH3B7Z3HVWD2IGY7DBLRVZWI","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":"6132d8f462303fbc8a85c026de9d61e87b348d8fea931d2cc7e62880603cea09","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-07T17:42:39Z","title_canon_sha256":"3e989ea61959405fb14c8623436e706bc46eede9d3a89126b417cd34699ac1a3"},"schema_version":"1.0","source":{"id":"1604.02086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02086","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02086v2","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02086","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"pith_short_12","alias_value":"NROH3B7Z3HVW","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NROH3B7Z3HVWD2IG","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NROH3B7Z","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:47543c066d2e1abc8d6146e4dd4b14f9714c2153164acb660695447c46d8f730","target":"graph","created_at":"2026-05-18T00:48:54Z","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":"A new, comprehensive approach to inhabitation problems in simply-typed lambda-calculus is shown, dealing with both decision and counting problems. This approach works by exploiting a representation of the search space generated by a given inhabitation problem, which is in terms of a lambda-calculus for proof search that the authors developed recently. The representation may be seen as extending the Curry-Howard representation of proofs by lambda-terms, staying within the methods of lambda-calculus and type systems. Our methodology reveals inductive descriptions of the decision problems, driven","authors_text":"Jos\\'e Esp\\'irito Santo, Lu\\'is Pinto, Ralph Matthes","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-07T17:42:39Z","title":"Inhabitation in Simply-Typed Lambda-Calculus through a Lambda-Calculus for Proof Search"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02086","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:cc2ffb9ca8eedf10bf03e0e0e550df3cd28e0bf7a61b175da3a3ed187ea12a1c","target":"record","created_at":"2026-05-18T00:48:54Z","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":"6132d8f462303fbc8a85c026de9d61e87b348d8fea931d2cc7e62880603cea09","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-07T17:42:39Z","title_canon_sha256":"3e989ea61959405fb14c8623436e706bc46eede9d3a89126b417cd34699ac1a3"},"schema_version":"1.0","source":{"id":"1604.02086","kind":"arxiv","version":2}},"canonical_sha256":"6c5c7d87f9d9eb61e906c7c615c6b9b20ab975d9cec17cac48892d16bc428444","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c5c7d87f9d9eb61e906c7c615c6b9b20ab975d9cec17cac48892d16bc428444","first_computed_at":"2026-05-18T00:48:54.644350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:54.644350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0vDv3m61PQdUvz4rA/SejVG+30iPIzjzvlVoSNs38AhAF+JiSg+55I7SflyIEiiLuiz5Y4UIB0YcLpoApWSyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:54.645105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc2ffb9ca8eedf10bf03e0e0e550df3cd28e0bf7a61b175da3a3ed187ea12a1c","sha256:47543c066d2e1abc8d6146e4dd4b14f9714c2153164acb660695447c46d8f730"],"state_sha256":"5c08c8661ed2a730c8bfef5fe065cdf0f4f6faed52e956944cdbb3fb3e91f772"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"beekiFTlDzl8tuplj9a1My0Y3XM2orAOYRFUCQBKxf3LJRs1cZMFY0jg+7DHf3VUHBax7VW1xKlUDaEOV6fNAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:57:35.284607Z","bundle_sha256":"8aeffabfafdcf6297b157f76779f2b662f060fae9f5e39bd0c5a18e374d339a7"}}