{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JUOTB4DRXTYA3G4DNXNU7OPBMZ","short_pith_number":"pith:JUOTB4DR","canonical_record":{"source":{"id":"1306.5403","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-06-23T13:41:00Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"5b832dbdd02d35a7856c55fc0b8e9853b7953aed5f3568b391b7d8774c9019d5","abstract_canon_sha256":"e7b874ab2df34f37fe690d128b685e95a012174795751abe4647375b69f37cbc"},"schema_version":"1.0"},"canonical_sha256":"4d1d30f071bcf00d9b836ddb4fb9e1664fa01ec8457efbde48cc3f37a85c178b","source":{"kind":"arxiv","id":"1306.5403","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5403","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5403v1","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5403","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"pith_short_12","alias_value":"JUOTB4DRXTYA","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JUOTB4DRXTYA3G4D","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JUOTB4DR","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JUOTB4DRXTYA3G4DNXNU7OPBMZ","target":"record","payload":{"canonical_record":{"source":{"id":"1306.5403","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-06-23T13:41:00Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"5b832dbdd02d35a7856c55fc0b8e9853b7953aed5f3568b391b7d8774c9019d5","abstract_canon_sha256":"e7b874ab2df34f37fe690d128b685e95a012174795751abe4647375b69f37cbc"},"schema_version":"1.0"},"canonical_sha256":"4d1d30f071bcf00d9b836ddb4fb9e1664fa01ec8457efbde48cc3f37a85c178b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:08.242149Z","signature_b64":"Vc1v6DlQDE1fXUBgKalunMe9jY5tUn7luuqhGU1scjrBhSQmADAFPps2v60JPajhFhV1RCxrOeOyeOauwGc3Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d1d30f071bcf00d9b836ddb4fb9e1664fa01ec8457efbde48cc3f37a85c178b","last_reissued_at":"2026-05-18T03:20:08.241570Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:08.241570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.5403","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":"2026-05-18T03:20:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1mCSYCsqnITg8z5b9cv88z0mCwinBS5C3mYEkIebyItJNYsDoYXpJcOoc82yq3O3XUd6jqqFsZWaZ9X+4w+1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:37:40.622185Z"},"content_sha256":"9dd64afa631ffd46deaaaa16084b49ad8f6e18bd77b767b39808ad8201ade9b1","schema_version":"1.0","event_id":"sha256:9dd64afa631ffd46deaaaa16084b49ad8f6e18bd77b767b39808ad8201ade9b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JUOTB4DRXTYA3G4DNXNU7OPBMZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Rystov's generalization of the \\v{C}ern\\'y Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CO","authors_text":"Boaz Tsaban, Ciaran Mullan, Noam Lifshitz","submitted_at":"2013-06-23T13:41:00Z","abstract_excerpt":"We resolve a conjecture of Rystov concerning products of matrices, that generalizes the \\v{C}ern\\'y Conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5403","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":"2026-05-18T03:20:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3huqiGJI4haRpp+8w6x2WxOzT55ExQeEFvbFJ81Wia6Bl9g59K4Pc5kAbNZJNzGwxKjgR8JITO6pMRzf7KOdBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:37:40.622676Z"},"content_sha256":"d2d5ffc5862f9ceeb145b0fe782368e053682022d657be9ae9fa66d3058640bb","schema_version":"1.0","event_id":"sha256:d2d5ffc5862f9ceeb145b0fe782368e053682022d657be9ae9fa66d3058640bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JUOTB4DRXTYA3G4DNXNU7OPBMZ/bundle.json","state_url":"https://pith.science/pith/JUOTB4DRXTYA3G4DNXNU7OPBMZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JUOTB4DRXTYA3G4DNXNU7OPBMZ/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":"2026-05-27T05:37:40Z","links":{"resolver":"https://pith.science/pith/JUOTB4DRXTYA3G4DNXNU7OPBMZ","bundle":"https://pith.science/pith/JUOTB4DRXTYA3G4DNXNU7OPBMZ/bundle.json","state":"https://pith.science/pith/JUOTB4DRXTYA3G4DNXNU7OPBMZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JUOTB4DRXTYA3G4DNXNU7OPBMZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JUOTB4DRXTYA3G4DNXNU7OPBMZ","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":"e7b874ab2df34f37fe690d128b685e95a012174795751abe4647375b69f37cbc","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-06-23T13:41:00Z","title_canon_sha256":"5b832dbdd02d35a7856c55fc0b8e9853b7953aed5f3568b391b7d8774c9019d5"},"schema_version":"1.0","source":{"id":"1306.5403","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5403","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5403v1","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5403","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"pith_short_12","alias_value":"JUOTB4DRXTYA","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JUOTB4DRXTYA3G4D","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JUOTB4DR","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:d2d5ffc5862f9ceeb145b0fe782368e053682022d657be9ae9fa66d3058640bb","target":"graph","created_at":"2026-05-18T03:20:08Z","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 resolve a conjecture of Rystov concerning products of matrices, that generalizes the \\v{C}ern\\'y Conjecture.","authors_text":"Boaz Tsaban, Ciaran Mullan, Noam Lifshitz","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-06-23T13:41:00Z","title":"On Rystov's generalization of the \\v{C}ern\\'y Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5403","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":"sha256:9dd64afa631ffd46deaaaa16084b49ad8f6e18bd77b767b39808ad8201ade9b1","target":"record","created_at":"2026-05-18T03:20:08Z","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":"e7b874ab2df34f37fe690d128b685e95a012174795751abe4647375b69f37cbc","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-06-23T13:41:00Z","title_canon_sha256":"5b832dbdd02d35a7856c55fc0b8e9853b7953aed5f3568b391b7d8774c9019d5"},"schema_version":"1.0","source":{"id":"1306.5403","kind":"arxiv","version":1}},"canonical_sha256":"4d1d30f071bcf00d9b836ddb4fb9e1664fa01ec8457efbde48cc3f37a85c178b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d1d30f071bcf00d9b836ddb4fb9e1664fa01ec8457efbde48cc3f37a85c178b","first_computed_at":"2026-05-18T03:20:08.241570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:08.241570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vc1v6DlQDE1fXUBgKalunMe9jY5tUn7luuqhGU1scjrBhSQmADAFPps2v60JPajhFhV1RCxrOeOyeOauwGc3Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:08.242149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5403","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9dd64afa631ffd46deaaaa16084b49ad8f6e18bd77b767b39808ad8201ade9b1","sha256:d2d5ffc5862f9ceeb145b0fe782368e053682022d657be9ae9fa66d3058640bb"],"state_sha256":"412462e480ab64e356d731b66f048fd0bdf10a6f830ec1a463372999d3f5dbfb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y6e8PfkInx7SF+ifFIMP8SXEHxbNm8/zBz9YS23vhvbR0255qW/vD1HBfxjaYXvtZmWrtimzD+msAEK3sGrOBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:37:40.626094Z","bundle_sha256":"9d963a2631997270a86b998fa14eb1f87683af7b379931e026acd2ed27dbabdf"}}