{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UJKD6NVKVGKFO3ZWKKFUWHTYJZ","short_pith_number":"pith:UJKD6NVK","canonical_record":{"source":{"id":"1211.6341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-11-27T16:10:26Z","cross_cats_sorted":[],"title_canon_sha256":"080df8116af5abfd4c5c8250a756a21bfe98557b627106a27e8449ee20905870","abstract_canon_sha256":"7a500d6ef5b89a9d7cdcefdf2dee86638832ede4302776d018ed6dc14a708e0c"},"schema_version":"1.0"},"canonical_sha256":"a2543f36aaa994576f36528b4b1e784e5ce5c0aa1978d75704d2f9dda73639f4","source":{"kind":"arxiv","id":"1211.6341","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6341","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6341v1","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6341","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"pith_short_12","alias_value":"UJKD6NVKVGKF","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UJKD6NVKVGKFO3ZW","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UJKD6NVK","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UJKD6NVKVGKFO3ZWKKFUWHTYJZ","target":"record","payload":{"canonical_record":{"source":{"id":"1211.6341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-11-27T16:10:26Z","cross_cats_sorted":[],"title_canon_sha256":"080df8116af5abfd4c5c8250a756a21bfe98557b627106a27e8449ee20905870","abstract_canon_sha256":"7a500d6ef5b89a9d7cdcefdf2dee86638832ede4302776d018ed6dc14a708e0c"},"schema_version":"1.0"},"canonical_sha256":"a2543f36aaa994576f36528b4b1e784e5ce5c0aa1978d75704d2f9dda73639f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:51.981036Z","signature_b64":"Ay1tZRftXh4oo569Ze2ofB9hHnOgn1igNRrg6Kbr2Wl2R1JNGQgVFcK/cuGtgWKBTOtxqndsPbQuKH3lEIWCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2543f36aaa994576f36528b4b1e784e5ce5c0aa1978d75704d2f9dda73639f4","last_reissued_at":"2026-05-18T03:39:51.980560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:51.980560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.6341","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":"2026-05-18T03:39:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Enig919WvVuoEzhkUF1HMg8jTMEYGYQlSzBcxGJlKbaL7NI7Hu2AftKE+B+cYuKNwNq/HZNi+mwoj6lHfznBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:07:58.722700Z"},"content_sha256":"90a6c092a2d68d82db94d5908e88ff2531e03c13836008ad00570bfee5049e81","schema_version":"1.0","event_id":"sha256:90a6c092a2d68d82db94d5908e88ff2531e03c13836008ad00570bfee5049e81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UJKD6NVKVGKFO3ZWKKFUWHTYJZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Refined Calculus of Inductive Construction: Parametricity and Abstraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Chantal Keller (INRIA Saclay - Ile de France, LIX), Marc Lasson (LIP)","submitted_at":"2012-11-27T16:10:26Z","abstract_excerpt":"We present a refinement of the Calculus of Inductive Constructions in which one can easily define a notion of relational parametricity. It provides a new way to automate proofs in an interactive theorem prover like Coq."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6341","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":"2026-05-18T03:39:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kgzBearS122f/eykfbDWpjTCKQqeDwuZMn9XgV15cbl8+5jil0j9MOhSuhuVFRkHLtrmGZSQiYgMpzi+6CIyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:07:58.723072Z"},"content_sha256":"049a3120336969ec18b47bb4bb6e272dda84037028339bf4170dc7e3626d2e2b","schema_version":"1.0","event_id":"sha256:049a3120336969ec18b47bb4bb6e272dda84037028339bf4170dc7e3626d2e2b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UJKD6NVKVGKFO3ZWKKFUWHTYJZ/bundle.json","state_url":"https://pith.science/pith/UJKD6NVKVGKFO3ZWKKFUWHTYJZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UJKD6NVKVGKFO3ZWKKFUWHTYJZ/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":"2026-06-23T18:07:58Z","links":{"resolver":"https://pith.science/pith/UJKD6NVKVGKFO3ZWKKFUWHTYJZ","bundle":"https://pith.science/pith/UJKD6NVKVGKFO3ZWKKFUWHTYJZ/bundle.json","state":"https://pith.science/pith/UJKD6NVKVGKFO3ZWKKFUWHTYJZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UJKD6NVKVGKFO3ZWKKFUWHTYJZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UJKD6NVKVGKFO3ZWKKFUWHTYJZ","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":"7a500d6ef5b89a9d7cdcefdf2dee86638832ede4302776d018ed6dc14a708e0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-11-27T16:10:26Z","title_canon_sha256":"080df8116af5abfd4c5c8250a756a21bfe98557b627106a27e8449ee20905870"},"schema_version":"1.0","source":{"id":"1211.6341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6341","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6341v1","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6341","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"pith_short_12","alias_value":"UJKD6NVKVGKF","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UJKD6NVKVGKFO3ZW","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UJKD6NVK","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:049a3120336969ec18b47bb4bb6e272dda84037028339bf4170dc7e3626d2e2b","target":"graph","created_at":"2026-05-18T03:39:51Z","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":"We present a refinement of the Calculus of Inductive Constructions in which one can easily define a notion of relational parametricity. It provides a new way to automate proofs in an interactive theorem prover like Coq.","authors_text":"Chantal Keller (INRIA Saclay - Ile de France, LIX), Marc Lasson (LIP)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-11-27T16:10:26Z","title":"The Refined Calculus of Inductive Construction: Parametricity and Abstraction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6341","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":"sha256:90a6c092a2d68d82db94d5908e88ff2531e03c13836008ad00570bfee5049e81","target":"record","created_at":"2026-05-18T03:39:51Z","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":"7a500d6ef5b89a9d7cdcefdf2dee86638832ede4302776d018ed6dc14a708e0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-11-27T16:10:26Z","title_canon_sha256":"080df8116af5abfd4c5c8250a756a21bfe98557b627106a27e8449ee20905870"},"schema_version":"1.0","source":{"id":"1211.6341","kind":"arxiv","version":1}},"canonical_sha256":"a2543f36aaa994576f36528b4b1e784e5ce5c0aa1978d75704d2f9dda73639f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2543f36aaa994576f36528b4b1e784e5ce5c0aa1978d75704d2f9dda73639f4","first_computed_at":"2026-05-18T03:39:51.980560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:51.980560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ay1tZRftXh4oo569Ze2ofB9hHnOgn1igNRrg6Kbr2Wl2R1JNGQgVFcK/cuGtgWKBTOtxqndsPbQuKH3lEIWCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:51.981036Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90a6c092a2d68d82db94d5908e88ff2531e03c13836008ad00570bfee5049e81","sha256:049a3120336969ec18b47bb4bb6e272dda84037028339bf4170dc7e3626d2e2b"],"state_sha256":"d1db547ce6a329a0aa25767d90a498cd38fc2cd0917665927a8906307d15a1bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tml4+aI36nbE/puHeQihp1SVQ84MsoMgTmJXJWtLJ8fxfU9/4QIM8e/q4lKSRuUhsbMm6XCGmE+aGa9LKGLlCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:07:58.725095Z","bundle_sha256":"0add3db049352b29253a47ed9036df5020310c0bf0969d53d851e27e4f8d2b8c"}}