{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VVUNV4Z4NOJ22Q5PMQEX5VPMX5","short_pith_number":"pith:VVUNV4Z4","canonical_record":{"source":{"id":"1710.09681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-25T02:00:49Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"a44dfc2b5e1b6945501b0f639cf9b4d4c5b62ef8f56a0374065b3fb1a2793615","abstract_canon_sha256":"39750a4f6117e6d107f8bd32ef68f77781ce81206cbb59a9e8ab898cf0b01005"},"schema_version":"1.0"},"canonical_sha256":"ad68daf33c6b93ad43af64097ed5ecbf59d13e4483aa57beb051aa3e37a367c3","source":{"kind":"arxiv","id":"1710.09681","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.09681","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"arxiv_version","alias_value":"1710.09681v1","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09681","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"pith_short_12","alias_value":"VVUNV4Z4NOJ2","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VVUNV4Z4NOJ22Q5P","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VVUNV4Z4","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VVUNV4Z4NOJ22Q5PMQEX5VPMX5","target":"record","payload":{"canonical_record":{"source":{"id":"1710.09681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-25T02:00:49Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"a44dfc2b5e1b6945501b0f639cf9b4d4c5b62ef8f56a0374065b3fb1a2793615","abstract_canon_sha256":"39750a4f6117e6d107f8bd32ef68f77781ce81206cbb59a9e8ab898cf0b01005"},"schema_version":"1.0"},"canonical_sha256":"ad68daf33c6b93ad43af64097ed5ecbf59d13e4483aa57beb051aa3e37a367c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:56.658083Z","signature_b64":"9czgZ7sxvjHpItI5yA3BnB/Z7lohburEgGoAbCo3PgHhqISIMa0fO+cDKl3vieYnwvFDEReUtcfiXwUCdUaHDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad68daf33c6b93ad43af64097ed5ecbf59d13e4483aa57beb051aa3e37a367c3","last_reissued_at":"2026-05-18T00:31:56.657733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:56.657733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.09681","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":"2026-05-18T00:31:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2YPBFEnUYrH+59nEx49nU+oR1GfoMJThlakCOIpfs4h/amQaIl3/HZcLHo9m+qo1ZP10CQr1TMwjYAcF/TUBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:05:50.968007Z"},"content_sha256":"854680eae37566c5c459d25abaf44a71909b4a6d885964ab3589634c5b06f553","schema_version":"1.0","event_id":"sha256:854680eae37566c5c459d25abaf44a71909b4a6d885964ab3589634c5b06f553"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VVUNV4Z4NOJ22Q5PMQEX5VPMX5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reconstruct the Logical Network from the Transition Matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Cailu Wang, Yuegang Tao","submitted_at":"2017-10-25T02:00:49Z","abstract_excerpt":"Reconstructing the logical network from the transition matrix is benefit for learning the logical meaning of the algebraic result from the algebraic representation of a BN. And so far there has no method to convert the matrix expression back to the logic expression for a BN with an arbitrary topology structure. Based on the canonical form and Karnaugh map, we propose a method for reconstructing the logical network from the transition matrix of a Boolean network in this paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09681","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":"2026-05-18T00:31:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xbJ2yr3HK1DnLR5zE9Z9yamCfdJfog1xP09NIWYt+8+5yNcMPu1tn12wV5PrdtJPN2Bb1cWGtA7+DGKXpM/DBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:05:50.968845Z"},"content_sha256":"aa02c089acc7b84009c4574988198fe91458657de90fe32556e8e5448867f73b","schema_version":"1.0","event_id":"sha256:aa02c089acc7b84009c4574988198fe91458657de90fe32556e8e5448867f73b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VVUNV4Z4NOJ22Q5PMQEX5VPMX5/bundle.json","state_url":"https://pith.science/pith/VVUNV4Z4NOJ22Q5PMQEX5VPMX5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VVUNV4Z4NOJ22Q5PMQEX5VPMX5/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":"2026-08-06T13:05:50Z","links":{"resolver":"https://pith.science/pith/VVUNV4Z4NOJ22Q5PMQEX5VPMX5","bundle":"https://pith.science/pith/VVUNV4Z4NOJ22Q5PMQEX5VPMX5/bundle.json","state":"https://pith.science/pith/VVUNV4Z4NOJ22Q5PMQEX5VPMX5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VVUNV4Z4NOJ22Q5PMQEX5VPMX5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VVUNV4Z4NOJ22Q5PMQEX5VPMX5","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":"39750a4f6117e6d107f8bd32ef68f77781ce81206cbb59a9e8ab898cf0b01005","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-25T02:00:49Z","title_canon_sha256":"a44dfc2b5e1b6945501b0f639cf9b4d4c5b62ef8f56a0374065b3fb1a2793615"},"schema_version":"1.0","source":{"id":"1710.09681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.09681","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"arxiv_version","alias_value":"1710.09681v1","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09681","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"pith_short_12","alias_value":"VVUNV4Z4NOJ2","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VVUNV4Z4NOJ22Q5P","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VVUNV4Z4","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:aa02c089acc7b84009c4574988198fe91458657de90fe32556e8e5448867f73b","target":"graph","created_at":"2026-05-18T00:31:56Z","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":"Reconstructing the logical network from the transition matrix is benefit for learning the logical meaning of the algebraic result from the algebraic representation of a BN. And so far there has no method to convert the matrix expression back to the logic expression for a BN with an arbitrary topology structure. Based on the canonical form and Karnaugh map, we propose a method for reconstructing the logical network from the transition matrix of a Boolean network in this paper.","authors_text":"Cailu Wang, Yuegang Tao","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-25T02:00:49Z","title":"Reconstruct the Logical Network from the Transition Matrix"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09681","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":"sha256:854680eae37566c5c459d25abaf44a71909b4a6d885964ab3589634c5b06f553","target":"record","created_at":"2026-05-18T00:31:56Z","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":"39750a4f6117e6d107f8bd32ef68f77781ce81206cbb59a9e8ab898cf0b01005","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-25T02:00:49Z","title_canon_sha256":"a44dfc2b5e1b6945501b0f639cf9b4d4c5b62ef8f56a0374065b3fb1a2793615"},"schema_version":"1.0","source":{"id":"1710.09681","kind":"arxiv","version":1}},"canonical_sha256":"ad68daf33c6b93ad43af64097ed5ecbf59d13e4483aa57beb051aa3e37a367c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad68daf33c6b93ad43af64097ed5ecbf59d13e4483aa57beb051aa3e37a367c3","first_computed_at":"2026-05-18T00:31:56.657733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:56.657733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9czgZ7sxvjHpItI5yA3BnB/Z7lohburEgGoAbCo3PgHhqISIMa0fO+cDKl3vieYnwvFDEReUtcfiXwUCdUaHDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:56.658083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.09681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:854680eae37566c5c459d25abaf44a71909b4a6d885964ab3589634c5b06f553","sha256:aa02c089acc7b84009c4574988198fe91458657de90fe32556e8e5448867f73b"],"state_sha256":"6766304d5a9c3e1fca9638514e66ef84dfb292d69b009390db9d7beb9da1fe11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MhW2YeJ+OYFQv7iTwBfmLdJWFxqD08A8z5hQUBBuQcOV1gVZjA+Rht1WrG1OO/m3JnVaTaFe9yHGpGU2r2fWDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T13:05:50.988516Z","bundle_sha256":"f75f711d6cd96d4a5d62b996e698394c39af4196a46d1c5619307e2711060ec2"}}