{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:PF2QTDFRA3UUIEBARQT25IQPBA","short_pith_number":"pith:PF2QTDFR","canonical_record":{"source":{"id":"1607.04025","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-07-14T08:11:26Z","cross_cats_sorted":[],"title_canon_sha256":"01ab80d11b1454a58f283790be654a4851b1a03c24b5cb21faa5ed4b3be1e858","abstract_canon_sha256":"8c3434d9524b4ee800f3c96e3468f7ea5bec91f0322180555361d876016a8b1a"},"schema_version":"1.0"},"canonical_sha256":"7975098cb106e94410208c27aea20f08127400c85176967764fd131fdd7c73bc","source":{"kind":"arxiv","id":"1607.04025","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04025","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04025v1","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04025","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"pith_short_12","alias_value":"PF2QTDFRA3UU","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PF2QTDFRA3UUIEBA","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PF2QTDFR","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:PF2QTDFRA3UUIEBARQT25IQPBA","target":"record","payload":{"canonical_record":{"source":{"id":"1607.04025","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-07-14T08:11:26Z","cross_cats_sorted":[],"title_canon_sha256":"01ab80d11b1454a58f283790be654a4851b1a03c24b5cb21faa5ed4b3be1e858","abstract_canon_sha256":"8c3434d9524b4ee800f3c96e3468f7ea5bec91f0322180555361d876016a8b1a"},"schema_version":"1.0"},"canonical_sha256":"7975098cb106e94410208c27aea20f08127400c85176967764fd131fdd7c73bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:04.291469Z","signature_b64":"tEOHnPYyk0besInqMYaG30nGGQjxyhKsDsrlVn+Tey8H7Wg56cXdrMSINok94hh2wz8+J9KCPyigM4LMZNVdAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7975098cb106e94410208c27aea20f08127400c85176967764fd131fdd7c73bc","last_reissued_at":"2026-05-18T01:11:04.290944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:04.290944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.04025","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":"2026-05-18T01:11:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/xnXiCdtt27imN8IhDylkyl9VMwAAohuknS1OeRLSokyivcu6a25Pn1Fw7qJBPSy0hCb/VQWHp0arzeW6DTVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:28:30.758957Z"},"content_sha256":"f3b37a65cfd7e8ce2d3f3421113eb1c6698c162c6bed95f0c8c438701a488fe1","schema_version":"1.0","event_id":"sha256:f3b37a65cfd7e8ce2d3f3421113eb1c6698c162c6bed95f0c8c438701a488fe1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:PF2QTDFRA3UUIEBARQT25IQPBA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Experiments with Synchronizing Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.FL","authors_text":"Andrzej Kisielewicz, Jakub Kowalski, Marek Szyku{\\l}a","submitted_at":"2016-07-14T08:11:26Z","abstract_excerpt":"We have improved an algorithm generating synchronizing automata with a large length of the shortest reset words. This has been done by refining some known results concerning bounds on the reset length. Our improvements make possible to consider a number of conjectures and open questions concerning synchronizing automata, checking them for automata with a small number of states and discussing the results. In particular, we have verified the \\v{C}ern\\'y conjecture for all binary automata with at most 12 states, and all ternary automata with at most 8 states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04025","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":"2026-05-18T01:11:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x/1ssA3RuyG5BT9/85e5KDeHLU5QAHyQCmu+H8X7ANL8eJZyC3Kr8VAXKLBd1yD67+UnWaFZXjmVzRvzc6+WCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:28:30.759301Z"},"content_sha256":"09b3b63dcdb8695326f8859b3dff527a9811b8d07c5ae273520696703c172d6f","schema_version":"1.0","event_id":"sha256:09b3b63dcdb8695326f8859b3dff527a9811b8d07c5ae273520696703c172d6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PF2QTDFRA3UUIEBARQT25IQPBA/bundle.json","state_url":"https://pith.science/pith/PF2QTDFRA3UUIEBARQT25IQPBA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PF2QTDFRA3UUIEBARQT25IQPBA/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":"2026-06-28T13:28:30Z","links":{"resolver":"https://pith.science/pith/PF2QTDFRA3UUIEBARQT25IQPBA","bundle":"https://pith.science/pith/PF2QTDFRA3UUIEBARQT25IQPBA/bundle.json","state":"https://pith.science/pith/PF2QTDFRA3UUIEBARQT25IQPBA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PF2QTDFRA3UUIEBARQT25IQPBA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PF2QTDFRA3UUIEBARQT25IQPBA","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":"8c3434d9524b4ee800f3c96e3468f7ea5bec91f0322180555361d876016a8b1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-07-14T08:11:26Z","title_canon_sha256":"01ab80d11b1454a58f283790be654a4851b1a03c24b5cb21faa5ed4b3be1e858"},"schema_version":"1.0","source":{"id":"1607.04025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04025","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04025v1","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04025","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"pith_short_12","alias_value":"PF2QTDFRA3UU","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PF2QTDFRA3UUIEBA","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PF2QTDFR","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:09b3b63dcdb8695326f8859b3dff527a9811b8d07c5ae273520696703c172d6f","target":"graph","created_at":"2026-05-18T01:11:04Z","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 have improved an algorithm generating synchronizing automata with a large length of the shortest reset words. This has been done by refining some known results concerning bounds on the reset length. Our improvements make possible to consider a number of conjectures and open questions concerning synchronizing automata, checking them for automata with a small number of states and discussing the results. In particular, we have verified the \\v{C}ern\\'y conjecture for all binary automata with at most 12 states, and all ternary automata with at most 8 states.","authors_text":"Andrzej Kisielewicz, Jakub Kowalski, Marek Szyku{\\l}a","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-07-14T08:11:26Z","title":"Experiments with Synchronizing Automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04025","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:f3b37a65cfd7e8ce2d3f3421113eb1c6698c162c6bed95f0c8c438701a488fe1","target":"record","created_at":"2026-05-18T01:11:04Z","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":"8c3434d9524b4ee800f3c96e3468f7ea5bec91f0322180555361d876016a8b1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-07-14T08:11:26Z","title_canon_sha256":"01ab80d11b1454a58f283790be654a4851b1a03c24b5cb21faa5ed4b3be1e858"},"schema_version":"1.0","source":{"id":"1607.04025","kind":"arxiv","version":1}},"canonical_sha256":"7975098cb106e94410208c27aea20f08127400c85176967764fd131fdd7c73bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7975098cb106e94410208c27aea20f08127400c85176967764fd131fdd7c73bc","first_computed_at":"2026-05-18T01:11:04.290944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:04.290944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tEOHnPYyk0besInqMYaG30nGGQjxyhKsDsrlVn+Tey8H7Wg56cXdrMSINok94hh2wz8+J9KCPyigM4LMZNVdAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:04.291469Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.04025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3b37a65cfd7e8ce2d3f3421113eb1c6698c162c6bed95f0c8c438701a488fe1","sha256:09b3b63dcdb8695326f8859b3dff527a9811b8d07c5ae273520696703c172d6f"],"state_sha256":"840ce137c1f95880dcc9518883df17549e6217cb5ca7abf462fc9f35b77d96ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qk083CCtmOmWd+W3GIcg1IjtPt06ft8L5+iu6hQRtwHTz2nrfRpSrCbXJxeMXlmuipCzHsa8uiwrAIqMmMuxAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T13:28:30.761244Z","bundle_sha256":"d8800bbbc638edabbd799421347f6e7438bbf1a8bc9f898ba5e737875ca2c6ca"}}