{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:IKUVW72KQ7ZAFGDVZHAXB4YL4Y","short_pith_number":"pith:IKUVW72K","canonical_record":{"source":{"id":"1907.08820","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2019-07-20T14:57:40Z","cross_cats_sorted":[],"title_canon_sha256":"f7639333b502fa4ab6367763ad7e16ec64b785b9d9bef649a3cb1ac9859cbd02","abstract_canon_sha256":"6f1848d1fab7e662b40da5fbe91026bd2721fa01b890ea24b676edc273019698"},"schema_version":"1.0"},"canonical_sha256":"42a95b7f4a87f2029875c9c170f30be60da8465375f81d435afac455146ce61d","source":{"kind":"arxiv","id":"1907.08820","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.08820","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"arxiv_version","alias_value":"1907.08820v1","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.08820","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"pith_short_12","alias_value":"IKUVW72KQ7ZA","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IKUVW72KQ7ZAFGDV","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IKUVW72K","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:IKUVW72KQ7ZAFGDVZHAXB4YL4Y","target":"record","payload":{"canonical_record":{"source":{"id":"1907.08820","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2019-07-20T14:57:40Z","cross_cats_sorted":[],"title_canon_sha256":"f7639333b502fa4ab6367763ad7e16ec64b785b9d9bef649a3cb1ac9859cbd02","abstract_canon_sha256":"6f1848d1fab7e662b40da5fbe91026bd2721fa01b890ea24b676edc273019698"},"schema_version":"1.0"},"canonical_sha256":"42a95b7f4a87f2029875c9c170f30be60da8465375f81d435afac455146ce61d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:05.261444Z","signature_b64":"9JeiUGHn7Ud2yo4otAIsvHKe3pbRRFK8mXW8IfmfkHb+WaG3mrbxPEl8OUm3yrbJdIMod1egAMay6UHdiutlCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42a95b7f4a87f2029875c9c170f30be60da8465375f81d435afac455146ce61d","last_reissued_at":"2026-05-17T23:40:05.260959Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:05.260959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.08820","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:40:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1gwCVzjOUmi799sUo2vtSC4GbLOtefZpTPzh83GsGTR3ry9t75ZQs48uG3aZEQb8ZDPEVEcgfDVKU2ek4yIiCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:54:23.407877Z"},"content_sha256":"bd56ca8740a0f4df07efcc939496cf54e7b9912b5dc846470c1fa690f30aa96e","schema_version":"1.0","event_id":"sha256:bd56ca8740a0f4df07efcc939496cf54e7b9912b5dc846470c1fa690f30aa96e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:IKUVW72KQ7ZAFGDVZHAXB4YL4Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Factoring Derivation Spaces via Intersection Types (Extended Version)","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Gonzalo Ciruelos, Pablo Barenbaum","submitted_at":"2019-07-20T14:57:40Z","abstract_excerpt":"In typical non-idempotent intersection type systems, proof normalization is not confluent. In this paper we introduce a confluent non-idempotent intersection type system for the lambda-calculus. Typing derivations are presented using proof term syntax. The system enjoys good properties: subject reduction, strong normalization, and a very regular theory of residuals. A correspondence with the lambda-calculus is established by simulation theorems. The machinery of non-idempotent intersection types allows us to track the usage of resources required to obtain an answer. In particular, it induces a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.08820","kind":"arxiv","version":1},"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":"2026-05-17T23:40:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y/M+6YJBUJ3kCQb7OHikck9CFjdORLw/WzXwFTQ/XamwV4ikS8mXpERfcY+msZCdP+GSYhJcfQ5zH3LbQ7QuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:54:23.408221Z"},"content_sha256":"aeef62c8cafc60f6e87e6418d3d71482a25cdbe6177da7cdad051f31bb90ec9e","schema_version":"1.0","event_id":"sha256:aeef62c8cafc60f6e87e6418d3d71482a25cdbe6177da7cdad051f31bb90ec9e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IKUVW72KQ7ZAFGDVZHAXB4YL4Y/bundle.json","state_url":"https://pith.science/pith/IKUVW72KQ7ZAFGDVZHAXB4YL4Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IKUVW72KQ7ZAFGDVZHAXB4YL4Y/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":"2026-06-09T14:54:23Z","links":{"resolver":"https://pith.science/pith/IKUVW72KQ7ZAFGDVZHAXB4YL4Y","bundle":"https://pith.science/pith/IKUVW72KQ7ZAFGDVZHAXB4YL4Y/bundle.json","state":"https://pith.science/pith/IKUVW72KQ7ZAFGDVZHAXB4YL4Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IKUVW72KQ7ZAFGDVZHAXB4YL4Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IKUVW72KQ7ZAFGDVZHAXB4YL4Y","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":"6f1848d1fab7e662b40da5fbe91026bd2721fa01b890ea24b676edc273019698","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2019-07-20T14:57:40Z","title_canon_sha256":"f7639333b502fa4ab6367763ad7e16ec64b785b9d9bef649a3cb1ac9859cbd02"},"schema_version":"1.0","source":{"id":"1907.08820","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.08820","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"arxiv_version","alias_value":"1907.08820v1","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.08820","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"pith_short_12","alias_value":"IKUVW72KQ7ZA","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IKUVW72KQ7ZAFGDV","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IKUVW72K","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:aeef62c8cafc60f6e87e6418d3d71482a25cdbe6177da7cdad051f31bb90ec9e","target":"graph","created_at":"2026-05-17T23:40:05Z","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 typical non-idempotent intersection type systems, proof normalization is not confluent. In this paper we introduce a confluent non-idempotent intersection type system for the lambda-calculus. Typing derivations are presented using proof term syntax. The system enjoys good properties: subject reduction, strong normalization, and a very regular theory of residuals. A correspondence with the lambda-calculus is established by simulation theorems. The machinery of non-idempotent intersection types allows us to track the usage of resources required to obtain an answer. In particular, it induces a","authors_text":"Gonzalo Ciruelos, Pablo Barenbaum","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2019-07-20T14:57:40Z","title":"Factoring Derivation Spaces via Intersection Types (Extended Version)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.08820","kind":"arxiv","version":1},"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:bd56ca8740a0f4df07efcc939496cf54e7b9912b5dc846470c1fa690f30aa96e","target":"record","created_at":"2026-05-17T23:40:05Z","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":"6f1848d1fab7e662b40da5fbe91026bd2721fa01b890ea24b676edc273019698","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2019-07-20T14:57:40Z","title_canon_sha256":"f7639333b502fa4ab6367763ad7e16ec64b785b9d9bef649a3cb1ac9859cbd02"},"schema_version":"1.0","source":{"id":"1907.08820","kind":"arxiv","version":1}},"canonical_sha256":"42a95b7f4a87f2029875c9c170f30be60da8465375f81d435afac455146ce61d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42a95b7f4a87f2029875c9c170f30be60da8465375f81d435afac455146ce61d","first_computed_at":"2026-05-17T23:40:05.260959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:05.260959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9JeiUGHn7Ud2yo4otAIsvHKe3pbRRFK8mXW8IfmfkHb+WaG3mrbxPEl8OUm3yrbJdIMod1egAMay6UHdiutlCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:05.261444Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.08820","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd56ca8740a0f4df07efcc939496cf54e7b9912b5dc846470c1fa690f30aa96e","sha256:aeef62c8cafc60f6e87e6418d3d71482a25cdbe6177da7cdad051f31bb90ec9e"],"state_sha256":"1dac3c6d7a3857fc9e5b5a46bf61338797cac63427ccd8c4cb5a0f9d77e87eed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wNWWobN5uBl3X5cnQlqJtus8yzzdo/V4v9QczQvH088fkpXjKdTaaGXQMhr/RAiAJJTyKgXW0QOQZEscN6r6Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T14:54:23.410420Z","bundle_sha256":"7e29c8090cc32df531824d3779c58590a6edeb971c7bcfa2512d408dc92e67dd"}}