{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:7RV34BQ5YIXNO4WHFBSD2CHSCN","short_pith_number":"pith:7RV34BQ5","canonical_record":{"source":{"id":"1902.05331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2019-02-14T12:53:23Z","cross_cats_sorted":[],"title_canon_sha256":"e16b163192a007e544c2a18072af08b122a88aec97ad2ad2c6aa3c8926ffe502","abstract_canon_sha256":"8831913b8c21bdcd0dffd126b0b229b6455bb1f8685b7a3e5b001d5afb83ec82"},"schema_version":"1.0"},"canonical_sha256":"fc6bbe061dc22ed772c728643d08f213460bee7345eb4bac8cee97a99f6cb727","source":{"kind":"arxiv","id":"1902.05331","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05331","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05331v1","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05331","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"7RV34BQ5YIXN","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7RV34BQ5YIXNO4WH","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7RV34BQ5","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:7RV34BQ5YIXNO4WHFBSD2CHSCN","target":"record","payload":{"canonical_record":{"source":{"id":"1902.05331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2019-02-14T12:53:23Z","cross_cats_sorted":[],"title_canon_sha256":"e16b163192a007e544c2a18072af08b122a88aec97ad2ad2c6aa3c8926ffe502","abstract_canon_sha256":"8831913b8c21bdcd0dffd126b0b229b6455bb1f8685b7a3e5b001d5afb83ec82"},"schema_version":"1.0"},"canonical_sha256":"fc6bbe061dc22ed772c728643d08f213460bee7345eb4bac8cee97a99f6cb727","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:01.195037Z","signature_b64":"RRORhIXKoNHFGFkv4SmxmW1D/iPozD4uigKl2aaAKZGboWe+qLbUYesOvHx2hkL+iL/H4dvsEXwJOiVTtFCkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc6bbe061dc22ed772c728643d08f213460bee7345eb4bac8cee97a99f6cb727","last_reissued_at":"2026-05-17T23:54:01.194263Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:01.194263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.05331","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":"2026-05-17T23:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLRyh2mb6IcLR5syEjPl2q1FSwiCkbrqw/CmTz4uuiZJGTUYfVT5gMbaRTvkB3CxzVBMnQkseAmG6w6NbPWWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:25:19.003820Z"},"content_sha256":"9a9e9333d1dd364491fe9fca1734261a8b17c3d983413b449750308d41af7306","schema_version":"1.0","event_id":"sha256:9a9e9333d1dd364491fe9fca1734261a8b17c3d983413b449750308d41af7306"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:7RV34BQ5YIXNO4WHFBSD2CHSCN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Slowly synchronizing DFAs of 7 states and maximal slowly synchronizing DFAs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.FL","authors_text":"Michiel de Bondt","submitted_at":"2019-02-14T12:53:23Z","abstract_excerpt":"We compute all synchronizing DFAs with 7 states and synchronization length >= 29.\n  Furthermore, we compute alphabet size ranges for maximal, minimal and semi-minimal synchronizing DFAs with up to 7 states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05331","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":"2026-05-17T23:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+LeHZQirl/XC3PMKANNySE5A4vXY0KaR/Du/xiaIWKZPmTGz8tF0B1OKeM8zwWczYxJPd3r3k3LaQ8Zba5zgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:25:19.004570Z"},"content_sha256":"97e24311cac0bf702f5b0afeed26af38d83803b509117ed351e547f245ca9081","schema_version":"1.0","event_id":"sha256:97e24311cac0bf702f5b0afeed26af38d83803b509117ed351e547f245ca9081"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7RV34BQ5YIXNO4WHFBSD2CHSCN/bundle.json","state_url":"https://pith.science/pith/7RV34BQ5YIXNO4WHFBSD2CHSCN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7RV34BQ5YIXNO4WHFBSD2CHSCN/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":"2026-06-05T20:25:19Z","links":{"resolver":"https://pith.science/pith/7RV34BQ5YIXNO4WHFBSD2CHSCN","bundle":"https://pith.science/pith/7RV34BQ5YIXNO4WHFBSD2CHSCN/bundle.json","state":"https://pith.science/pith/7RV34BQ5YIXNO4WHFBSD2CHSCN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7RV34BQ5YIXNO4WHFBSD2CHSCN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7RV34BQ5YIXNO4WHFBSD2CHSCN","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":"8831913b8c21bdcd0dffd126b0b229b6455bb1f8685b7a3e5b001d5afb83ec82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2019-02-14T12:53:23Z","title_canon_sha256":"e16b163192a007e544c2a18072af08b122a88aec97ad2ad2c6aa3c8926ffe502"},"schema_version":"1.0","source":{"id":"1902.05331","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05331","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05331v1","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05331","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"7RV34BQ5YIXN","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7RV34BQ5YIXNO4WH","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7RV34BQ5","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:97e24311cac0bf702f5b0afeed26af38d83803b509117ed351e547f245ca9081","target":"graph","created_at":"2026-05-17T23:54:01Z","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 compute all synchronizing DFAs with 7 states and synchronization length >= 29.\n  Furthermore, we compute alphabet size ranges for maximal, minimal and semi-minimal synchronizing DFAs with up to 7 states.","authors_text":"Michiel de Bondt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2019-02-14T12:53:23Z","title":"Slowly synchronizing DFAs of 7 states and maximal slowly synchronizing DFAs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05331","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":"sha256:9a9e9333d1dd364491fe9fca1734261a8b17c3d983413b449750308d41af7306","target":"record","created_at":"2026-05-17T23:54:01Z","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":"8831913b8c21bdcd0dffd126b0b229b6455bb1f8685b7a3e5b001d5afb83ec82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2019-02-14T12:53:23Z","title_canon_sha256":"e16b163192a007e544c2a18072af08b122a88aec97ad2ad2c6aa3c8926ffe502"},"schema_version":"1.0","source":{"id":"1902.05331","kind":"arxiv","version":1}},"canonical_sha256":"fc6bbe061dc22ed772c728643d08f213460bee7345eb4bac8cee97a99f6cb727","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc6bbe061dc22ed772c728643d08f213460bee7345eb4bac8cee97a99f6cb727","first_computed_at":"2026-05-17T23:54:01.194263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:01.194263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RRORhIXKoNHFGFkv4SmxmW1D/iPozD4uigKl2aaAKZGboWe+qLbUYesOvHx2hkL+iL/H4dvsEXwJOiVTtFCkCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:01.195037Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.05331","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a9e9333d1dd364491fe9fca1734261a8b17c3d983413b449750308d41af7306","sha256:97e24311cac0bf702f5b0afeed26af38d83803b509117ed351e547f245ca9081"],"state_sha256":"78fba8d204839c408cb5a2f56c8cd616a1bfbc6699371a513531673393a18eba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mCjde2ltIifQcHJ3eAdubt76BbFFC3kJhIdV3ZdZ61HLIyU2fAFCxr/ivMr2DNEqNqKM5KYjDHT4NOjn5onxDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:25:19.009575Z","bundle_sha256":"6f770d5cf3eae98ae4875e57e79891d5f101bc444b5ccee043b4a3a98fc7cebc"}}