{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NETEMVNWMNNSOZEMGUI5RSP7UI","short_pith_number":"pith:NETEMVNW","canonical_record":{"source":{"id":"1508.00455","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-07-29T08:21:28Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"1358f4c7c00fd01eb08cea08f96e67923abbae915a968d84d0ecfc446c49a376","abstract_canon_sha256":"8adce622db14dd218b58def21c666be8243836b4ca5440f1ef9d8760f1ced653"},"schema_version":"1.0"},"canonical_sha256":"69264655b6635b27648c3511d8c9ffa2156caf13cb52705f45289a2fcce7532c","source":{"kind":"arxiv","id":"1508.00455","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00455","created_at":"2026-05-18T01:35:58Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00455v1","created_at":"2026-05-18T01:35:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00455","created_at":"2026-05-18T01:35:58Z"},{"alias_kind":"pith_short_12","alias_value":"NETEMVNWMNNS","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NETEMVNWMNNSOZEM","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NETEMVNW","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NETEMVNWMNNSOZEMGUI5RSP7UI","target":"record","payload":{"canonical_record":{"source":{"id":"1508.00455","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-07-29T08:21:28Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"1358f4c7c00fd01eb08cea08f96e67923abbae915a968d84d0ecfc446c49a376","abstract_canon_sha256":"8adce622db14dd218b58def21c666be8243836b4ca5440f1ef9d8760f1ced653"},"schema_version":"1.0"},"canonical_sha256":"69264655b6635b27648c3511d8c9ffa2156caf13cb52705f45289a2fcce7532c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:58.088832Z","signature_b64":"qup1YERn+5Pyh2MgU5s27wKDXIhvHlICgFyFIEGsbMaEmCob1dWMcznWpJol3X7W89Tr8n5L8dSVwxnGZEtjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69264655b6635b27648c3511d8c9ffa2156caf13cb52705f45289a2fcce7532c","last_reissued_at":"2026-05-18T01:35:58.088333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:58.088333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.00455","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":"2026-05-18T01:35:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l1uKOqAB4CGOdfD4cWjZ8p5WyDWE6Do2/Oy/ceMZYTGvzWS46VZcgZlv68pL8w+irEAr94XIT7SFO6d544YiCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:44:15.245885Z"},"content_sha256":"7fd498c3477da034ee412edf23cbddd5e8a13dfa5dc7ea82fb0ff25656cf87f4","schema_version":"1.0","event_id":"sha256:7fd498c3477da034ee412edf23cbddd5e8a13dfa5dc7ea82fb0ff25656cf87f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NETEMVNWMNNSOZEMGUI5RSP7UI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equations for Hereditary Substitution in Leivant's Predicative System F: A Case Study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL"],"primary_cat":"cs.LO","authors_text":"Cyprien Mangin (Univ Paris Diderot & \\'Ecole Polytechnique), Matthieu Sozeau (Inria Paris & PPS, Univ Paris Diderot)","submitted_at":"2015-07-29T08:21:28Z","abstract_excerpt":"This paper presents a case study of formalizing a normalization proof for Leivant's Predicative System F using the Equations package. Leivant's Predicative System F is a stratified version of System F, where type quantification is annotated with kinds representing universe levels. A weaker variant of this system was studied by Stump & Eades, employing the hereditary substitution method to show normalization. We improve on this result by showing normalization for Leivant's original system using hereditary substitutions and a novel multiset ordering on types. Our development is done in the Coq p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00455","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":"2026-05-18T01:35:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wT7UK3dKjskVR/Ik95oO9IYdyaNWm8SlZPOdCYcJzbeo5PIPbINozfZrTsAhbExUfmwpiw5P+1LrFEzU1o7WAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:44:15.246265Z"},"content_sha256":"c4c5a2214a5720db7ba9da8530ba2b9a511b5c8bf73f71d794f0a2c35df6b7aa","schema_version":"1.0","event_id":"sha256:c4c5a2214a5720db7ba9da8530ba2b9a511b5c8bf73f71d794f0a2c35df6b7aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NETEMVNWMNNSOZEMGUI5RSP7UI/bundle.json","state_url":"https://pith.science/pith/NETEMVNWMNNSOZEMGUI5RSP7UI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NETEMVNWMNNSOZEMGUI5RSP7UI/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":"2026-05-27T17:44:15Z","links":{"resolver":"https://pith.science/pith/NETEMVNWMNNSOZEMGUI5RSP7UI","bundle":"https://pith.science/pith/NETEMVNWMNNSOZEMGUI5RSP7UI/bundle.json","state":"https://pith.science/pith/NETEMVNWMNNSOZEMGUI5RSP7UI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NETEMVNWMNNSOZEMGUI5RSP7UI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NETEMVNWMNNSOZEMGUI5RSP7UI","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":"8adce622db14dd218b58def21c666be8243836b4ca5440f1ef9d8760f1ced653","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-07-29T08:21:28Z","title_canon_sha256":"1358f4c7c00fd01eb08cea08f96e67923abbae915a968d84d0ecfc446c49a376"},"schema_version":"1.0","source":{"id":"1508.00455","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00455","created_at":"2026-05-18T01:35:58Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00455v1","created_at":"2026-05-18T01:35:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00455","created_at":"2026-05-18T01:35:58Z"},{"alias_kind":"pith_short_12","alias_value":"NETEMVNWMNNS","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NETEMVNWMNNSOZEM","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NETEMVNW","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:c4c5a2214a5720db7ba9da8530ba2b9a511b5c8bf73f71d794f0a2c35df6b7aa","target":"graph","created_at":"2026-05-18T01:35:58Z","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":"This paper presents a case study of formalizing a normalization proof for Leivant's Predicative System F using the Equations package. Leivant's Predicative System F is a stratified version of System F, where type quantification is annotated with kinds representing universe levels. A weaker variant of this system was studied by Stump & Eades, employing the hereditary substitution method to show normalization. We improve on this result by showing normalization for Leivant's original system using hereditary substitutions and a novel multiset ordering on types. Our development is done in the Coq p","authors_text":"Cyprien Mangin (Univ Paris Diderot & \\'Ecole Polytechnique), Matthieu Sozeau (Inria Paris & PPS, Univ Paris Diderot)","cross_cats":["cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-07-29T08:21:28Z","title":"Equations for Hereditary Substitution in Leivant's Predicative System F: A Case Study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00455","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":"sha256:7fd498c3477da034ee412edf23cbddd5e8a13dfa5dc7ea82fb0ff25656cf87f4","target":"record","created_at":"2026-05-18T01:35:58Z","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":"8adce622db14dd218b58def21c666be8243836b4ca5440f1ef9d8760f1ced653","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-07-29T08:21:28Z","title_canon_sha256":"1358f4c7c00fd01eb08cea08f96e67923abbae915a968d84d0ecfc446c49a376"},"schema_version":"1.0","source":{"id":"1508.00455","kind":"arxiv","version":1}},"canonical_sha256":"69264655b6635b27648c3511d8c9ffa2156caf13cb52705f45289a2fcce7532c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69264655b6635b27648c3511d8c9ffa2156caf13cb52705f45289a2fcce7532c","first_computed_at":"2026-05-18T01:35:58.088333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:58.088333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qup1YERn+5Pyh2MgU5s27wKDXIhvHlICgFyFIEGsbMaEmCob1dWMcznWpJol3X7W89Tr8n5L8dSVwxnGZEtjCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:58.088832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.00455","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fd498c3477da034ee412edf23cbddd5e8a13dfa5dc7ea82fb0ff25656cf87f4","sha256:c4c5a2214a5720db7ba9da8530ba2b9a511b5c8bf73f71d794f0a2c35df6b7aa"],"state_sha256":"b6ac23b73d965d974aa2d2fd826545bcf3e09c1ffed451f5c0135deafb8dfe54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uaiEwCcB57a+0yg0IO4kkgQzbgWpQMYVuMTqJu9Nbc0sdBjeHwhNGP5w1CU1kNctr6Z9e+6vDS9kw4PV7GM2DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:44:15.249953Z","bundle_sha256":"bce3ebdc348be601495e3f22b977ca3548dd7287e628cdb810ce83822940993e"}}