{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CXKSHIU4255BCVTAVO5VLXBUAE","short_pith_number":"pith:CXKSHIU4","canonical_record":{"source":{"id":"2311.07185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-11-13T09:22:36Z","cross_cats_sorted":[],"title_canon_sha256":"b3ca3afe134b6fb529e6b7c824b9ed79da343200bd5cfe0186365e63490c0824","abstract_canon_sha256":"52b687605c7e717df4d91cbdfb753854f708f0eaafedded484837da7dd1113f2"},"schema_version":"1.0"},"canonical_sha256":"15d523a29cd77a115660abbb55dc34012bee9b70e4431db26643b2918fb4a16c","source":{"kind":"arxiv","id":"2311.07185","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.07185","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"arxiv_version","alias_value":"2311.07185v1","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.07185","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"pith_short_12","alias_value":"CXKSHIU4255B","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"pith_short_16","alias_value":"CXKSHIU4255BCVTA","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"pith_short_8","alias_value":"CXKSHIU4","created_at":"2026-07-05T07:12:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CXKSHIU4255BCVTAVO5VLXBUAE","target":"record","payload":{"canonical_record":{"source":{"id":"2311.07185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-11-13T09:22:36Z","cross_cats_sorted":[],"title_canon_sha256":"b3ca3afe134b6fb529e6b7c824b9ed79da343200bd5cfe0186365e63490c0824","abstract_canon_sha256":"52b687605c7e717df4d91cbdfb753854f708f0eaafedded484837da7dd1113f2"},"schema_version":"1.0"},"canonical_sha256":"15d523a29cd77a115660abbb55dc34012bee9b70e4431db26643b2918fb4a16c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:12:09.268385Z","signature_b64":"0YeaY4q3wHHjdI3/4lD3w+fpsWFAh1eys4YVv84P8r/RMVFGCdM+w68UMzkB1JQPHMZIm61G9LbeUpwQCxdFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15d523a29cd77a115660abbb55dc34012bee9b70e4431db26643b2918fb4a16c","last_reissued_at":"2026-07-05T07:12:09.267900Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:12:09.267900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.07185","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":"2026-07-05T07:12:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IKoTyqnyhDjpY+B2aLSutfYBKfyJecVpxLsHCTH2YGUhcpclsyIlVoipJTFM7ru0lm70I7uBXOQLOK5N37JMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T15:41:55.690464Z"},"content_sha256":"68711dfe81652d0347564c3379b90cde5a0208dd123225e60694058e2f433483","schema_version":"1.0","event_id":"sha256:68711dfe81652d0347564c3379b90cde5a0208dd123225e60694058e2f433483"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CXKSHIU4255BCVTAVO5VLXBUAE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dedukti: a Logical Framework based on the $\\lambda$$\\Pi$-Calculus Modulo Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Ali Assaf, Catherine Dubois (ENSIIE), David Delahaye (CNAM), Fr\\'ed\\'eric Gilbert, Gilles Dowek, Guillaume Burel (ENSIIE), Olivier Hermant, Pierre Halmagrand, Rapha\\\"el Cauderlier, Ronan Saillard","submitted_at":"2023-11-13T09:22:36Z","abstract_excerpt":"Dedukti is a Logical Framework based on the $\\lambda$$\\Pi$-Calculus Modulo Theory. We show that many theories can be expressed in Dedukti: constructive and classical predicate logic, Simple type theory, programming languages, Pure type systems, the Calculus of inductive constructions with universes, etc. and that permits to used it to check large libraries of proofs developed in other proof systems: Zenon, iProver, FoCaLiZe, HOL Light, and Matita."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.07185","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.07185/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:12:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gMkOc8C2UEPWl9WO3enHhhQ3AZ1gEDr1WfORqzeU6eUs819TDsYTZPkvv8daBOgd5DZZdKB4nNvP+SV3TKh5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T15:41:55.690969Z"},"content_sha256":"76a5b0ee06f5096fef0bc49721409bbc59a9597d04c1c9f8deddebf765b32796","schema_version":"1.0","event_id":"sha256:76a5b0ee06f5096fef0bc49721409bbc59a9597d04c1c9f8deddebf765b32796"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXKSHIU4255BCVTAVO5VLXBUAE/bundle.json","state_url":"https://pith.science/pith/CXKSHIU4255BCVTAVO5VLXBUAE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXKSHIU4255BCVTAVO5VLXBUAE/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":"2026-08-07T15:41:55Z","links":{"resolver":"https://pith.science/pith/CXKSHIU4255BCVTAVO5VLXBUAE","bundle":"https://pith.science/pith/CXKSHIU4255BCVTAVO5VLXBUAE/bundle.json","state":"https://pith.science/pith/CXKSHIU4255BCVTAVO5VLXBUAE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXKSHIU4255BCVTAVO5VLXBUAE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CXKSHIU4255BCVTAVO5VLXBUAE","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":"52b687605c7e717df4d91cbdfb753854f708f0eaafedded484837da7dd1113f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-11-13T09:22:36Z","title_canon_sha256":"b3ca3afe134b6fb529e6b7c824b9ed79da343200bd5cfe0186365e63490c0824"},"schema_version":"1.0","source":{"id":"2311.07185","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.07185","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"arxiv_version","alias_value":"2311.07185v1","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.07185","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"pith_short_12","alias_value":"CXKSHIU4255B","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"pith_short_16","alias_value":"CXKSHIU4255BCVTA","created_at":"2026-07-05T07:12:09Z"},{"alias_kind":"pith_short_8","alias_value":"CXKSHIU4","created_at":"2026-07-05T07:12:09Z"}],"graph_snapshots":[{"event_id":"sha256:76a5b0ee06f5096fef0bc49721409bbc59a9597d04c1c9f8deddebf765b32796","target":"graph","created_at":"2026-07-05T07:12:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.07185/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Dedukti is a Logical Framework based on the $\\lambda$$\\Pi$-Calculus Modulo Theory. We show that many theories can be expressed in Dedukti: constructive and classical predicate logic, Simple type theory, programming languages, Pure type systems, the Calculus of inductive constructions with universes, etc. and that permits to used it to check large libraries of proofs developed in other proof systems: Zenon, iProver, FoCaLiZe, HOL Light, and Matita.","authors_text":"Ali Assaf, Catherine Dubois (ENSIIE), David Delahaye (CNAM), Fr\\'ed\\'eric Gilbert, Gilles Dowek, Guillaume Burel (ENSIIE), Olivier Hermant, Pierre Halmagrand, Rapha\\\"el Cauderlier, Ronan Saillard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-11-13T09:22:36Z","title":"Dedukti: a Logical Framework based on the $\\lambda$$\\Pi$-Calculus Modulo Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.07185","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":"sha256:68711dfe81652d0347564c3379b90cde5a0208dd123225e60694058e2f433483","target":"record","created_at":"2026-07-05T07:12:09Z","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":"52b687605c7e717df4d91cbdfb753854f708f0eaafedded484837da7dd1113f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-11-13T09:22:36Z","title_canon_sha256":"b3ca3afe134b6fb529e6b7c824b9ed79da343200bd5cfe0186365e63490c0824"},"schema_version":"1.0","source":{"id":"2311.07185","kind":"arxiv","version":1}},"canonical_sha256":"15d523a29cd77a115660abbb55dc34012bee9b70e4431db26643b2918fb4a16c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15d523a29cd77a115660abbb55dc34012bee9b70e4431db26643b2918fb4a16c","first_computed_at":"2026-07-05T07:12:09.267900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:12:09.267900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0YeaY4q3wHHjdI3/4lD3w+fpsWFAh1eys4YVv84P8r/RMVFGCdM+w68UMzkB1JQPHMZIm61G9LbeUpwQCxdFAA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:12:09.268385Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.07185","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68711dfe81652d0347564c3379b90cde5a0208dd123225e60694058e2f433483","sha256:76a5b0ee06f5096fef0bc49721409bbc59a9597d04c1c9f8deddebf765b32796"],"state_sha256":"8bc00eea56ef74d4261f2bdbedab2a28f31b2addf616ccaf72c03bc9fe67c23b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CZr3KVKMdCW2myb081WdCiMBLd/N9DuUmpQTeVDE3MFcTU1MKVrr8MqCY6sguF0YI51eywPFa3jls2Uljqw6Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T15:41:55.694495Z","bundle_sha256":"c64a83935c082e33580228a4e417f86f0b08daabcaf97b8514bca5c5c3272d98"}}