{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FTBE2FU4MBWJMZMXJ6PX2W54CA","short_pith_number":"pith:FTBE2FU4","canonical_record":{"source":{"id":"1108.4253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-08-22T08:14:38Z","cross_cats_sorted":[],"title_canon_sha256":"35b20a5812a702d8f898532a4a012ef57b3590e6ecc1c3cdfd2d5f1f33bddc21","abstract_canon_sha256":"fad37f6f829bbfac8c58f20993d2e616fb856cd5158d1e395bf5aa1544842f05"},"schema_version":"1.0"},"canonical_sha256":"2cc24d169c606c9665974f9f7d5bbc101367a86f86e144a15998e0f462ac674a","source":{"kind":"arxiv","id":"1108.4253","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4253","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4253v1","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4253","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"pith_short_12","alias_value":"FTBE2FU4MBWJ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FTBE2FU4MBWJMZMX","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FTBE2FU4","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FTBE2FU4MBWJMZMXJ6PX2W54CA","target":"record","payload":{"canonical_record":{"source":{"id":"1108.4253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-08-22T08:14:38Z","cross_cats_sorted":[],"title_canon_sha256":"35b20a5812a702d8f898532a4a012ef57b3590e6ecc1c3cdfd2d5f1f33bddc21","abstract_canon_sha256":"fad37f6f829bbfac8c58f20993d2e616fb856cd5158d1e395bf5aa1544842f05"},"schema_version":"1.0"},"canonical_sha256":"2cc24d169c606c9665974f9f7d5bbc101367a86f86e144a15998e0f462ac674a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:55.863935Z","signature_b64":"axcQx582cQ+A3AER5nubF2TwHBmV/kVpLdMW4ym3pl8mlP3TTKRGBtM65XVCAJdlGWRcJQQMneral3PYWdJJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cc24d169c606c9665974f9f7d5bbc101367a86f86e144a15998e0f462ac674a","last_reissued_at":"2026-05-18T04:14:55.863335Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:55.863335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.4253","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":"2026-05-18T04:14:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FbLZr0u/hplrz6YGjfYyi+bTCdjjx7s88BqxCk32m35YUyZQmq9ek0oKxJxv2PP4msn2slVbt3DYwqzp9p6yCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:27:46.400342Z"},"content_sha256":"31060087d4f909fc961ba1ebeaa233f923046f1eab1d59be34dca7fa4ceb7b7c","schema_version":"1.0","event_id":"sha256:31060087d4f909fc961ba1ebeaa233f923046f1eab1d59be34dca7fa4ceb7b7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FTBE2FU4MBWJMZMXJ6PX2W54CA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coquet: a Coq library for verifying hardware","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Thomas Braibant (LIG)","submitted_at":"2011-08-22T08:14:38Z","abstract_excerpt":"We propose a new library to model and verify hardware circuits in the Coq proof assistant. This library allows one to easily build circuits by following the usual pen-and-paper diagrams. We define a deep-embedding: we use a (dependently typed) data-type that models the architecture of circuits, and a meaning function. We propose tactics that ease the reasoning about the behavior of the circuits, and we demonstrate that our approach is practicable by proving the correctness of various circuits: a text-book divide and conquer adder of parametric size, some higher-order combinators of circuits, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4253","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":"2026-05-18T04:14:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gkHbc/izKZmSwgLvzPk3Tls1TMDQ7HYqV9Wny0fvdb5/gbDvxV5mWX3p2OdrWVMRHJHMa02e0PHTjK+H6ID2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:27:46.400940Z"},"content_sha256":"2aaaa950913b762f2cb5f0e93b4632d2b4ea175b50dffe8a108b0353b746354a","schema_version":"1.0","event_id":"sha256:2aaaa950913b762f2cb5f0e93b4632d2b4ea175b50dffe8a108b0353b746354a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FTBE2FU4MBWJMZMXJ6PX2W54CA/bundle.json","state_url":"https://pith.science/pith/FTBE2FU4MBWJMZMXJ6PX2W54CA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FTBE2FU4MBWJMZMXJ6PX2W54CA/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":"2026-06-09T04:27:46Z","links":{"resolver":"https://pith.science/pith/FTBE2FU4MBWJMZMXJ6PX2W54CA","bundle":"https://pith.science/pith/FTBE2FU4MBWJMZMXJ6PX2W54CA/bundle.json","state":"https://pith.science/pith/FTBE2FU4MBWJMZMXJ6PX2W54CA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FTBE2FU4MBWJMZMXJ6PX2W54CA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FTBE2FU4MBWJMZMXJ6PX2W54CA","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":"fad37f6f829bbfac8c58f20993d2e616fb856cd5158d1e395bf5aa1544842f05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-08-22T08:14:38Z","title_canon_sha256":"35b20a5812a702d8f898532a4a012ef57b3590e6ecc1c3cdfd2d5f1f33bddc21"},"schema_version":"1.0","source":{"id":"1108.4253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4253","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4253v1","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4253","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"pith_short_12","alias_value":"FTBE2FU4MBWJ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FTBE2FU4MBWJMZMX","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FTBE2FU4","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:2aaaa950913b762f2cb5f0e93b4632d2b4ea175b50dffe8a108b0353b746354a","target":"graph","created_at":"2026-05-18T04:14:55Z","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 propose a new library to model and verify hardware circuits in the Coq proof assistant. This library allows one to easily build circuits by following the usual pen-and-paper diagrams. We define a deep-embedding: we use a (dependently typed) data-type that models the architecture of circuits, and a meaning function. We propose tactics that ease the reasoning about the behavior of the circuits, and we demonstrate that our approach is practicable by proving the correctness of various circuits: a text-book divide and conquer adder of parametric size, some higher-order combinators of circuits, a","authors_text":"Thomas Braibant (LIG)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-08-22T08:14:38Z","title":"Coquet: a Coq library for verifying hardware"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4253","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":"sha256:31060087d4f909fc961ba1ebeaa233f923046f1eab1d59be34dca7fa4ceb7b7c","target":"record","created_at":"2026-05-18T04:14:55Z","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":"fad37f6f829bbfac8c58f20993d2e616fb856cd5158d1e395bf5aa1544842f05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-08-22T08:14:38Z","title_canon_sha256":"35b20a5812a702d8f898532a4a012ef57b3590e6ecc1c3cdfd2d5f1f33bddc21"},"schema_version":"1.0","source":{"id":"1108.4253","kind":"arxiv","version":1}},"canonical_sha256":"2cc24d169c606c9665974f9f7d5bbc101367a86f86e144a15998e0f462ac674a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cc24d169c606c9665974f9f7d5bbc101367a86f86e144a15998e0f462ac674a","first_computed_at":"2026-05-18T04:14:55.863335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:55.863335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"axcQx582cQ+A3AER5nubF2TwHBmV/kVpLdMW4ym3pl8mlP3TTKRGBtM65XVCAJdlGWRcJQQMneral3PYWdJJDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:55.863935Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31060087d4f909fc961ba1ebeaa233f923046f1eab1d59be34dca7fa4ceb7b7c","sha256:2aaaa950913b762f2cb5f0e93b4632d2b4ea175b50dffe8a108b0353b746354a"],"state_sha256":"5a5b31abeec377362300c4bb2fe527823166c5def52f1b9cf92939ae3adc7d74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FgSQhVp823Xeeqt233qraGQpUejwELOjg9ty0dMbSFHTOQkuY+8olynR9yU+HgblCchR7K2502rvlEBXYlLyCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:27:46.404649Z","bundle_sha256":"2a17f0648954e2be2b7494344fe319b8f6d8cc27dfd51db6b7db4af96a6c49a4"}}