{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:XZ3VMT4GTV4TQK7T5VN5VW6CQ7","short_pith_number":"pith:XZ3VMT4G","canonical_record":{"source":{"id":"1204.1995","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.MN","submitted_at":"2012-04-09T21:23:04Z","cross_cats_sorted":["cs.CE","cs.LO","math.LO"],"title_canon_sha256":"d25efcf40a3025888846cd5164635411e2e0d825e1b3e6c2ea07f1511926b997","abstract_canon_sha256":"8c421f858878082ac92f9ad5b49fc39f1a6ee1e70b511c69c8f62c60402adfaa"},"schema_version":"1.0"},"canonical_sha256":"be77564f869d79382bf3ed5bdadbc287e2016f484b0366a0b30def27da0b9d16","source":{"kind":"arxiv","id":"1204.1995","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1995","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1995v1","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1995","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"XZ3VMT4GTV4T","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XZ3VMT4GTV4TQK7T","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XZ3VMT4G","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:XZ3VMT4GTV4TQK7T5VN5VW6CQ7","target":"record","payload":{"canonical_record":{"source":{"id":"1204.1995","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.MN","submitted_at":"2012-04-09T21:23:04Z","cross_cats_sorted":["cs.CE","cs.LO","math.LO"],"title_canon_sha256":"d25efcf40a3025888846cd5164635411e2e0d825e1b3e6c2ea07f1511926b997","abstract_canon_sha256":"8c421f858878082ac92f9ad5b49fc39f1a6ee1e70b511c69c8f62c60402adfaa"},"schema_version":"1.0"},"canonical_sha256":"be77564f869d79382bf3ed5bdadbc287e2016f484b0366a0b30def27da0b9d16","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:13.550277Z","signature_b64":"XEl5y9ZTgBGwjQOELZPpqOqSbIb+fqxjBO0Q/DaC+v+wx2W1OPyu6B/KjwmiOeBCFNQT6U2hYXhwdg2n60aLDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be77564f869d79382bf3ed5bdadbc287e2016f484b0366a0b30def27da0b9d16","last_reissued_at":"2026-05-18T03:58:13.549848Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:13.549848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.1995","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":"2026-05-18T03:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cTTIRkGawjdhKot/84D2gvgQGMUs8HdvrRt6sSCwf/z4h/kbjXD1ps/xxfT04443r71bbYwk341DLIdhbrd0Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T22:52:15.990335Z"},"content_sha256":"555b781df00261d15d0afefd1abbeec7f744356451533d1630d18d012fa306b8","schema_version":"1.0","event_id":"sha256:555b781df00261d15d0afefd1abbeec7f744356451533d1630d18d012fa306b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:XZ3VMT4GTV4TQK7T5VN5VW6CQ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Attribute Exploration of Gene Regulatory Processes","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cs.CE","cs.LO","math.LO"],"primary_cat":"q-bio.MN","authors_text":"Johannes Wollbold","submitted_at":"2012-04-09T21:23:04Z","abstract_excerpt":"This thesis aims at the logical analysis of discrete processes, in particular of such generated by gene regulatory networks. States, transitions and operators from temporal logics are expressed in the language of Formal Concept Analysis. By the attribute exploration algorithm, an expert or a computer program is enabled to validate a minimal and complete set of implications, e.g. by comparison of predictions derived from literature with observed data. Here, these rules represent temporal dependencies within gene regulatory networks including coexpression of genes, reachability of states, invari"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1995","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":"2026-05-18T03:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JwKOMq1oJLUWOJG1E0CLYft0Z2WARvpLHlkLGJ2ECPa0175YJeWOggV98DpDhLSUV4SbrWazWq54byCQWiKYCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T22:52:15.990699Z"},"content_sha256":"1b1c801d5fa2f793dc1be8583ea8d5a59d76db3c4b716269129c6bccbe48af7c","schema_version":"1.0","event_id":"sha256:1b1c801d5fa2f793dc1be8583ea8d5a59d76db3c4b716269129c6bccbe48af7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XZ3VMT4GTV4TQK7T5VN5VW6CQ7/bundle.json","state_url":"https://pith.science/pith/XZ3VMT4GTV4TQK7T5VN5VW6CQ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XZ3VMT4GTV4TQK7T5VN5VW6CQ7/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":"2026-06-23T22:52:15Z","links":{"resolver":"https://pith.science/pith/XZ3VMT4GTV4TQK7T5VN5VW6CQ7","bundle":"https://pith.science/pith/XZ3VMT4GTV4TQK7T5VN5VW6CQ7/bundle.json","state":"https://pith.science/pith/XZ3VMT4GTV4TQK7T5VN5VW6CQ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XZ3VMT4GTV4TQK7T5VN5VW6CQ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XZ3VMT4GTV4TQK7T5VN5VW6CQ7","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":"8c421f858878082ac92f9ad5b49fc39f1a6ee1e70b511c69c8f62c60402adfaa","cross_cats_sorted":["cs.CE","cs.LO","math.LO"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.MN","submitted_at":"2012-04-09T21:23:04Z","title_canon_sha256":"d25efcf40a3025888846cd5164635411e2e0d825e1b3e6c2ea07f1511926b997"},"schema_version":"1.0","source":{"id":"1204.1995","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1995","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1995v1","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1995","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"XZ3VMT4GTV4T","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XZ3VMT4GTV4TQK7T","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XZ3VMT4G","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:1b1c801d5fa2f793dc1be8583ea8d5a59d76db3c4b716269129c6bccbe48af7c","target":"graph","created_at":"2026-05-18T03:58:13Z","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":"This thesis aims at the logical analysis of discrete processes, in particular of such generated by gene regulatory networks. States, transitions and operators from temporal logics are expressed in the language of Formal Concept Analysis. By the attribute exploration algorithm, an expert or a computer program is enabled to validate a minimal and complete set of implications, e.g. by comparison of predictions derived from literature with observed data. Here, these rules represent temporal dependencies within gene regulatory networks including coexpression of genes, reachability of states, invari","authors_text":"Johannes Wollbold","cross_cats":["cs.CE","cs.LO","math.LO"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.MN","submitted_at":"2012-04-09T21:23:04Z","title":"Attribute Exploration of Gene Regulatory Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1995","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":"sha256:555b781df00261d15d0afefd1abbeec7f744356451533d1630d18d012fa306b8","target":"record","created_at":"2026-05-18T03:58:13Z","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":"8c421f858878082ac92f9ad5b49fc39f1a6ee1e70b511c69c8f62c60402adfaa","cross_cats_sorted":["cs.CE","cs.LO","math.LO"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.MN","submitted_at":"2012-04-09T21:23:04Z","title_canon_sha256":"d25efcf40a3025888846cd5164635411e2e0d825e1b3e6c2ea07f1511926b997"},"schema_version":"1.0","source":{"id":"1204.1995","kind":"arxiv","version":1}},"canonical_sha256":"be77564f869d79382bf3ed5bdadbc287e2016f484b0366a0b30def27da0b9d16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be77564f869d79382bf3ed5bdadbc287e2016f484b0366a0b30def27da0b9d16","first_computed_at":"2026-05-18T03:58:13.549848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:13.549848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XEl5y9ZTgBGwjQOELZPpqOqSbIb+fqxjBO0Q/DaC+v+wx2W1OPyu6B/KjwmiOeBCFNQT6U2hYXhwdg2n60aLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:13.550277Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1995","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:555b781df00261d15d0afefd1abbeec7f744356451533d1630d18d012fa306b8","sha256:1b1c801d5fa2f793dc1be8583ea8d5a59d76db3c4b716269129c6bccbe48af7c"],"state_sha256":"4648914c5bf4ca2430871acb69e6a3de600c0059f0af0511fdee9d170f9f805a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EivJWOakgtmH70D5wudMXJbTzlmyRbmIwNNbC7SvYamPQ5/3YHJ6W5E6+asj3eVOFReMUumwLgi5BnMYXrRjAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T22:52:15.992659Z","bundle_sha256":"c8974796403cf0c433b7faaee52f94381703ad7a1cd5af99eadd3329eaab1e34"}}