{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EDEYEWLOEK6LNDFLZ6DZT6M5TD","short_pith_number":"pith:EDEYEWLO","canonical_record":{"source":{"id":"1211.5762","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-11-25T12:48:05Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"d01b80610077aba8fb14f2447f2d4db4a1e473894becb59fa9e6ef028b7136ee","abstract_canon_sha256":"32e512aea4f75b365c8790772ff8d7d7da61ad5e02384e7e567f0f3b535eca38"},"schema_version":"1.0"},"canonical_sha256":"20c982596e22bcb68cabcf8799f99d98d9c972df22d15577a0f38e91d1ca32b0","source":{"kind":"arxiv","id":"1211.5762","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5762","created_at":"2026-05-18T01:36:36Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5762v2","created_at":"2026-05-18T01:36:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5762","created_at":"2026-05-18T01:36:36Z"},{"alias_kind":"pith_short_12","alias_value":"EDEYEWLOEK6L","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EDEYEWLOEK6LNDFL","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EDEYEWLO","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EDEYEWLOEK6LNDFLZ6DZT6M5TD","target":"record","payload":{"canonical_record":{"source":{"id":"1211.5762","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-11-25T12:48:05Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"d01b80610077aba8fb14f2447f2d4db4a1e473894becb59fa9e6ef028b7136ee","abstract_canon_sha256":"32e512aea4f75b365c8790772ff8d7d7da61ad5e02384e7e567f0f3b535eca38"},"schema_version":"1.0"},"canonical_sha256":"20c982596e22bcb68cabcf8799f99d98d9c972df22d15577a0f38e91d1ca32b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:36.252811Z","signature_b64":"pXa8EOS5n1Wwj5Yd+4x3PWOxcbTkKmb7n+hSKpcrMla/VfRo6IdVPi7VLEfvjScP6xJHpPo2kLIScJUXkMjvCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20c982596e22bcb68cabcf8799f99d98d9c972df22d15577a0f38e91d1ca32b0","last_reissued_at":"2026-05-18T01:36:36.252380Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:36.252380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.5762","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":"2026-05-18T01:36:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bwQFUF2NNDMPrqriQo0j0kemVM5HJbkppMx10azxwIZvBTv8TBjqYz22y2Bt5DV1hhRsjs6lfkelCh1v6M8dDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T05:17:46.509462Z"},"content_sha256":"804fd895b5a08e4955823ba7b63cd8351c09a1ec655bbd29d5c52bda4a509a58","schema_version":"1.0","event_id":"sha256:804fd895b5a08e4955823ba7b63cd8351c09a1ec655bbd29d5c52bda4a509a58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EDEYEWLOEK6LNDFLZ6DZT6M5TD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical lambda calculus in modern dress","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.CT","authors_text":"Martin Hyland","submitted_at":"2012-11-25T12:48:05Z","abstract_excerpt":"Recent developments in the categorical foundations of universal algebra have given fresh impetus to an understanding of the lambda calculus coming from categorical logic: an interpretation is a semi-closed algebraic theory. Scott's representation theorem is then completely natural and leads to precise theorems showing the essential equivalence with more familiar notions. Simple abstract proofs of fundamental results in the semantics of the lambda calculus are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5762","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":"2026-05-18T01:36:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QB5lkHFPYdq3CGUN7xas+bFp0JnD/ZFtQbiE+MVi/qkM5wSrq2wSbjBDNM6TpYddVnql4AA+t7nRw88Ut0ajAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T05:17:46.510184Z"},"content_sha256":"701e065f0b863fcec98684b1489a31d0bb7e5e62602a63b43fb275e97d6965c9","schema_version":"1.0","event_id":"sha256:701e065f0b863fcec98684b1489a31d0bb7e5e62602a63b43fb275e97d6965c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EDEYEWLOEK6LNDFLZ6DZT6M5TD/bundle.json","state_url":"https://pith.science/pith/EDEYEWLOEK6LNDFLZ6DZT6M5TD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EDEYEWLOEK6LNDFLZ6DZT6M5TD/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":"2026-06-08T05:17:46Z","links":{"resolver":"https://pith.science/pith/EDEYEWLOEK6LNDFLZ6DZT6M5TD","bundle":"https://pith.science/pith/EDEYEWLOEK6LNDFLZ6DZT6M5TD/bundle.json","state":"https://pith.science/pith/EDEYEWLOEK6LNDFLZ6DZT6M5TD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EDEYEWLOEK6LNDFLZ6DZT6M5TD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EDEYEWLOEK6LNDFLZ6DZT6M5TD","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":"32e512aea4f75b365c8790772ff8d7d7da61ad5e02384e7e567f0f3b535eca38","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-11-25T12:48:05Z","title_canon_sha256":"d01b80610077aba8fb14f2447f2d4db4a1e473894becb59fa9e6ef028b7136ee"},"schema_version":"1.0","source":{"id":"1211.5762","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5762","created_at":"2026-05-18T01:36:36Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5762v2","created_at":"2026-05-18T01:36:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5762","created_at":"2026-05-18T01:36:36Z"},{"alias_kind":"pith_short_12","alias_value":"EDEYEWLOEK6L","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EDEYEWLOEK6LNDFL","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EDEYEWLO","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:701e065f0b863fcec98684b1489a31d0bb7e5e62602a63b43fb275e97d6965c9","target":"graph","created_at":"2026-05-18T01:36:36Z","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":"Recent developments in the categorical foundations of universal algebra have given fresh impetus to an understanding of the lambda calculus coming from categorical logic: an interpretation is a semi-closed algebraic theory. Scott's representation theorem is then completely natural and leads to precise theorems showing the essential equivalence with more familiar notions. Simple abstract proofs of fundamental results in the semantics of the lambda calculus are given.","authors_text":"Martin Hyland","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-11-25T12:48:05Z","title":"Classical lambda calculus in modern dress"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5762","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":"sha256:804fd895b5a08e4955823ba7b63cd8351c09a1ec655bbd29d5c52bda4a509a58","target":"record","created_at":"2026-05-18T01:36:36Z","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":"32e512aea4f75b365c8790772ff8d7d7da61ad5e02384e7e567f0f3b535eca38","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-11-25T12:48:05Z","title_canon_sha256":"d01b80610077aba8fb14f2447f2d4db4a1e473894becb59fa9e6ef028b7136ee"},"schema_version":"1.0","source":{"id":"1211.5762","kind":"arxiv","version":2}},"canonical_sha256":"20c982596e22bcb68cabcf8799f99d98d9c972df22d15577a0f38e91d1ca32b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20c982596e22bcb68cabcf8799f99d98d9c972df22d15577a0f38e91d1ca32b0","first_computed_at":"2026-05-18T01:36:36.252380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:36.252380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pXa8EOS5n1Wwj5Yd+4x3PWOxcbTkKmb7n+hSKpcrMla/VfRo6IdVPi7VLEfvjScP6xJHpPo2kLIScJUXkMjvCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:36.252811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.5762","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:804fd895b5a08e4955823ba7b63cd8351c09a1ec655bbd29d5c52bda4a509a58","sha256:701e065f0b863fcec98684b1489a31d0bb7e5e62602a63b43fb275e97d6965c9"],"state_sha256":"db85fe7a95a571cead9e5c23125d6ffe5fc664afa5edf666d1f2c568e907dead"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eToh8rzk75iOD1Qdr402h+x+VQFj9WIc09sxiNC5nGBj5GGEZdulDXpuJRG3Q20+ytLtIJgvt1SVjjT7iqGPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T05:17:46.514191Z","bundle_sha256":"dac322ffce56cf8f48e920253ce1562323a530197c0351164427ce56f4df5992"}}