{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:7M2DYC7AF5YNFKWEF3A7TFL3WP","short_pith_number":"pith:7M2DYC7A","canonical_record":{"source":{"id":"2207.09854","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-07-20T12:39:34Z","cross_cats_sorted":[],"title_canon_sha256":"3dbf00be6a9596bada5254d03a1d03c44ca7364ab14a7840c97041ba22515003","abstract_canon_sha256":"c9e5d6d2a7037c81574c31f1fd6b358753d798d881e567ee9e09099561bc8588"},"schema_version":"1.0"},"canonical_sha256":"fb343c0be02f70d2aac42ec1f9957bb3dbdce358a19c05ee702c2b8eab7d8e70","source":{"kind":"arxiv","id":"2207.09854","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.09854","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"2207.09854v1","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.09854","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"7M2DYC7AF5YN","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"pith_short_16","alias_value":"7M2DYC7AF5YNFKWE","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"pith_short_8","alias_value":"7M2DYC7A","created_at":"2026-07-05T04:42:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:7M2DYC7AF5YNFKWEF3A7TFL3WP","target":"record","payload":{"canonical_record":{"source":{"id":"2207.09854","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-07-20T12:39:34Z","cross_cats_sorted":[],"title_canon_sha256":"3dbf00be6a9596bada5254d03a1d03c44ca7364ab14a7840c97041ba22515003","abstract_canon_sha256":"c9e5d6d2a7037c81574c31f1fd6b358753d798d881e567ee9e09099561bc8588"},"schema_version":"1.0"},"canonical_sha256":"fb343c0be02f70d2aac42ec1f9957bb3dbdce358a19c05ee702c2b8eab7d8e70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:42:02.552231Z","signature_b64":"8OMlLKIWbIBW5yZ50NOH43jxsSSWrUgfR2xDshioo2siw1VWAjh1SshwIYOOVyTvQP8Vhxt3DTxHAm/XqmvcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb343c0be02f70d2aac42ec1f9957bb3dbdce358a19c05ee702c2b8eab7d8e70","last_reissued_at":"2026-07-05T04:42:02.551774Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:42:02.551774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.09854","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":"2026-07-05T04:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"otx4aH1rEqyNkqIEU83ZoOOx/p4FCwGZ8E70XDFdGZr7FUuU22i794LFw0dVPmud56+DADmRw6C36DqQ92QNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:03:20.106836Z"},"content_sha256":"6c7f8ac30b4de714447246c1e74173b384f8867112794491e960cd251feeb744","schema_version":"1.0","event_id":"sha256:6c7f8ac30b4de714447246c1e74173b384f8867112794491e960cd251feeb744"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:7M2DYC7AF5YNFKWEF3A7TFL3WP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Auto-active Verification of Graph Algorithms, Written in OCaml","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Daniel Castanho, M\\'ario Pereira","submitted_at":"2022-07-20T12:39:34Z","abstract_excerpt":"Functional programming offers the perfect ground for building correct-by-construction software. Languages of such paradigm normally feature state-of-the-art type systems, good abstraction mechanisms, and well-defined execution models. We claim that all of these make software written in a functional language excellent targets for formal certification. Yet, somehow surprising, techniques such as deductive verification have been seldom applied to large-scale programs, written in mainstream functional languages. In this paper, we wish to address this situation and present the auto-active proof of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.09854","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/2207.09854/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":"2026-07-05T04:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R+vaxtdqhdqgAt118sWxLDOS4KwvN+/6pZLo0TLwhyHmTMNJUlJc0d8zmiEVZNgiqExZDlDqsUINsgdVdYC1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:03:20.107506Z"},"content_sha256":"4202fa9ca6031ea201687ca083f9fca2383bf7a3d84c3961b01c090c9a600fbb","schema_version":"1.0","event_id":"sha256:4202fa9ca6031ea201687ca083f9fca2383bf7a3d84c3961b01c090c9a600fbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7M2DYC7AF5YNFKWEF3A7TFL3WP/bundle.json","state_url":"https://pith.science/pith/7M2DYC7AF5YNFKWEF3A7TFL3WP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7M2DYC7AF5YNFKWEF3A7TFL3WP/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":"2026-08-09T12:03:20Z","links":{"resolver":"https://pith.science/pith/7M2DYC7AF5YNFKWEF3A7TFL3WP","bundle":"https://pith.science/pith/7M2DYC7AF5YNFKWEF3A7TFL3WP/bundle.json","state":"https://pith.science/pith/7M2DYC7AF5YNFKWEF3A7TFL3WP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7M2DYC7AF5YNFKWEF3A7TFL3WP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7M2DYC7AF5YNFKWEF3A7TFL3WP","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":"c9e5d6d2a7037c81574c31f1fd6b358753d798d881e567ee9e09099561bc8588","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-07-20T12:39:34Z","title_canon_sha256":"3dbf00be6a9596bada5254d03a1d03c44ca7364ab14a7840c97041ba22515003"},"schema_version":"1.0","source":{"id":"2207.09854","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.09854","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"2207.09854v1","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.09854","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"7M2DYC7AF5YN","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"pith_short_16","alias_value":"7M2DYC7AF5YNFKWE","created_at":"2026-07-05T04:42:02Z"},{"alias_kind":"pith_short_8","alias_value":"7M2DYC7A","created_at":"2026-07-05T04:42:02Z"}],"graph_snapshots":[{"event_id":"sha256:4202fa9ca6031ea201687ca083f9fca2383bf7a3d84c3961b01c090c9a600fbb","target":"graph","created_at":"2026-07-05T04:42:02Z","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/2207.09854/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Functional programming offers the perfect ground for building correct-by-construction software. Languages of such paradigm normally feature state-of-the-art type systems, good abstraction mechanisms, and well-defined execution models. We claim that all of these make software written in a functional language excellent targets for formal certification. Yet, somehow surprising, techniques such as deductive verification have been seldom applied to large-scale programs, written in mainstream functional languages. In this paper, we wish to address this situation and present the auto-active proof of ","authors_text":"Daniel Castanho, M\\'ario Pereira","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-07-20T12:39:34Z","title":"Auto-active Verification of Graph Algorithms, Written in OCaml"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.09854","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":"sha256:6c7f8ac30b4de714447246c1e74173b384f8867112794491e960cd251feeb744","target":"record","created_at":"2026-07-05T04:42:02Z","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":"c9e5d6d2a7037c81574c31f1fd6b358753d798d881e567ee9e09099561bc8588","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-07-20T12:39:34Z","title_canon_sha256":"3dbf00be6a9596bada5254d03a1d03c44ca7364ab14a7840c97041ba22515003"},"schema_version":"1.0","source":{"id":"2207.09854","kind":"arxiv","version":1}},"canonical_sha256":"fb343c0be02f70d2aac42ec1f9957bb3dbdce358a19c05ee702c2b8eab7d8e70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb343c0be02f70d2aac42ec1f9957bb3dbdce358a19c05ee702c2b8eab7d8e70","first_computed_at":"2026-07-05T04:42:02.551774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:42:02.551774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8OMlLKIWbIBW5yZ50NOH43jxsSSWrUgfR2xDshioo2siw1VWAjh1SshwIYOOVyTvQP8Vhxt3DTxHAm/XqmvcCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:42:02.552231Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.09854","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c7f8ac30b4de714447246c1e74173b384f8867112794491e960cd251feeb744","sha256:4202fa9ca6031ea201687ca083f9fca2383bf7a3d84c3961b01c090c9a600fbb"],"state_sha256":"593e658921879c75d36b860e32900eeee708050a1ef4d282168ec82d7028a927"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YPCWaC07KAl7LixAslhgvjvxxJ6TF5ignzFyj7D4vbZHlAEGetTRNNsKROESxhJDoMru15nnUHy66/ihAbeEAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T12:03:20.112350Z","bundle_sha256":"f776b79d9796dd2d5b7992a58a84a4d9a9de707d8efd46b5675285d5a1e86c86"}}