{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YY76E56QAH6S6UVPXHDDFG2ZPY","short_pith_number":"pith:YY76E56Q","canonical_record":{"source":{"id":"1510.03726","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2015-10-13T15:05:47Z","cross_cats_sorted":[],"title_canon_sha256":"a1162a07803a7c7a3ec13d5e4302c27701954e05b3ea9a9bf661d3f3706ea1be","abstract_canon_sha256":"7155d768951303fa1ffe2659a62e35605a03845142a82a3e8583b7701f8f0eb9"},"schema_version":"1.0"},"canonical_sha256":"c63fe277d001fd2f52afb9c6329b597e3a1149028ced3ee2ccd22b1af96b9e2e","source":{"kind":"arxiv","id":"1510.03726","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03726","created_at":"2026-05-18T00:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03726v2","created_at":"2026-05-18T00:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03726","created_at":"2026-05-18T00:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"YY76E56QAH6S","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YY76E56QAH6S6UVP","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YY76E56Q","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YY76E56QAH6S6UVPXHDDFG2ZPY","target":"record","payload":{"canonical_record":{"source":{"id":"1510.03726","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2015-10-13T15:05:47Z","cross_cats_sorted":[],"title_canon_sha256":"a1162a07803a7c7a3ec13d5e4302c27701954e05b3ea9a9bf661d3f3706ea1be","abstract_canon_sha256":"7155d768951303fa1ffe2659a62e35605a03845142a82a3e8583b7701f8f0eb9"},"schema_version":"1.0"},"canonical_sha256":"c63fe277d001fd2f52afb9c6329b597e3a1149028ced3ee2ccd22b1af96b9e2e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:43.234942Z","signature_b64":"jgMXYHur7+zipy6DOJ9PEW4eCIUoxeB9+wJ0XarxiZmfpGD42e2JABX/xJaIVeVQmxLON75eCULhkYg6EsysDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c63fe277d001fd2f52afb9c6329b597e3a1149028ced3ee2ccd22b1af96b9e2e","last_reissued_at":"2026-05-18T00:47:43.234420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:43.234420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.03726","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":"2026-05-18T00:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GJMYfLg6ehnjQp0nKaaNWVdYt5fAXKzIZzthf0lgMgnwhgTUd8bT5i7aDrd6/NFJ2sfD+C4x5mGlPnUiM7SXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:52:09.990573Z"},"content_sha256":"b6b584fd83fd45c4d4f1b7ec333c1f5a9ca5096f9fbb948d028c5c0f36ecf5c9","schema_version":"1.0","event_id":"sha256:b6b584fd83fd45c4d4f1b7ec333c1f5a9ca5096f9fbb948d028c5c0f36ecf5c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YY76E56QAH6S6UVPXHDDFG2ZPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Several types of types in programming languages","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.PL","authors_text":"Simone Martini","submitted_at":"2015-10-13T15:05:47Z","abstract_excerpt":"Types are an important part of any modern programming language, but we often forget that the concept of type we understand nowadays is not the same it was perceived in the sixties. Moreover, we conflate the concept of \"type\" in programming languages with the concept of the same name in mathematical logic, an identification that is only the result of the convergence of two different paths, which started apart with different aims. The paper will present several remarks (some historical, some of more conceptual character) on the subject, as a basis for a further investigation. The thesis we will "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03726","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":"2026-05-18T00:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kryOKGsNniB4D+xbPLXEh30hdah8JvcjEh8hOmMIyOLb9oYLqQS2h3wQ7vHdUF8KH7oPKNGDn7iunPIOXyz7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:52:09.991103Z"},"content_sha256":"df8399f6e5d382bc123b52730e22f7ba81f9bf2a012c9077445e295e69a8d18e","schema_version":"1.0","event_id":"sha256:df8399f6e5d382bc123b52730e22f7ba81f9bf2a012c9077445e295e69a8d18e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YY76E56QAH6S6UVPXHDDFG2ZPY/bundle.json","state_url":"https://pith.science/pith/YY76E56QAH6S6UVPXHDDFG2ZPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YY76E56QAH6S6UVPXHDDFG2ZPY/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":"2026-05-27T11:52:09Z","links":{"resolver":"https://pith.science/pith/YY76E56QAH6S6UVPXHDDFG2ZPY","bundle":"https://pith.science/pith/YY76E56QAH6S6UVPXHDDFG2ZPY/bundle.json","state":"https://pith.science/pith/YY76E56QAH6S6UVPXHDDFG2ZPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YY76E56QAH6S6UVPXHDDFG2ZPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YY76E56QAH6S6UVPXHDDFG2ZPY","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":"7155d768951303fa1ffe2659a62e35605a03845142a82a3e8583b7701f8f0eb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2015-10-13T15:05:47Z","title_canon_sha256":"a1162a07803a7c7a3ec13d5e4302c27701954e05b3ea9a9bf661d3f3706ea1be"},"schema_version":"1.0","source":{"id":"1510.03726","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03726","created_at":"2026-05-18T00:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03726v2","created_at":"2026-05-18T00:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03726","created_at":"2026-05-18T00:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"YY76E56QAH6S","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YY76E56QAH6S6UVP","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YY76E56Q","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:df8399f6e5d382bc123b52730e22f7ba81f9bf2a012c9077445e295e69a8d18e","target":"graph","created_at":"2026-05-18T00:47:43Z","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":"Types are an important part of any modern programming language, but we often forget that the concept of type we understand nowadays is not the same it was perceived in the sixties. Moreover, we conflate the concept of \"type\" in programming languages with the concept of the same name in mathematical logic, an identification that is only the result of the convergence of two different paths, which started apart with different aims. The paper will present several remarks (some historical, some of more conceptual character) on the subject, as a basis for a further investigation. The thesis we will ","authors_text":"Simone Martini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2015-10-13T15:05:47Z","title":"Several types of types in programming languages"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03726","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:b6b584fd83fd45c4d4f1b7ec333c1f5a9ca5096f9fbb948d028c5c0f36ecf5c9","target":"record","created_at":"2026-05-18T00:47:43Z","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":"7155d768951303fa1ffe2659a62e35605a03845142a82a3e8583b7701f8f0eb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2015-10-13T15:05:47Z","title_canon_sha256":"a1162a07803a7c7a3ec13d5e4302c27701954e05b3ea9a9bf661d3f3706ea1be"},"schema_version":"1.0","source":{"id":"1510.03726","kind":"arxiv","version":2}},"canonical_sha256":"c63fe277d001fd2f52afb9c6329b597e3a1149028ced3ee2ccd22b1af96b9e2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c63fe277d001fd2f52afb9c6329b597e3a1149028ced3ee2ccd22b1af96b9e2e","first_computed_at":"2026-05-18T00:47:43.234420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:43.234420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jgMXYHur7+zipy6DOJ9PEW4eCIUoxeB9+wJ0XarxiZmfpGD42e2JABX/xJaIVeVQmxLON75eCULhkYg6EsysDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:43.234942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03726","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6b584fd83fd45c4d4f1b7ec333c1f5a9ca5096f9fbb948d028c5c0f36ecf5c9","sha256:df8399f6e5d382bc123b52730e22f7ba81f9bf2a012c9077445e295e69a8d18e"],"state_sha256":"75ff19c2b9cb91c35e6ae64f33e2446f09b723eece84461fe5c1054ca1bcfd79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UUgWK3xcrMB+/3srbn9Jm/a0RKOgrc/GiGJ5uS25JYERO2T7fU88Pxkv7xQnWbCnQSzRxUvKXpldUYvUSB9MAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:52:09.993802Z","bundle_sha256":"50b605f7e7cbaad71747707e125aac1734e02022a42a62a9766d92fac793e638"}}