{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5EAINHJADCAKRIHABN27LZHTD6","short_pith_number":"pith:5EAINHJA","canonical_record":{"source":{"id":"1304.2959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-04-10T13:47:22Z","cross_cats_sorted":["cs.DM","math.CO"],"title_canon_sha256":"1e57abdfcb13263510279716982206df0a4572f94a377eb8d2ff555921077b6f","abstract_canon_sha256":"6f913eed8eef7bc8bea46172cebdcd8781e3d73793359226672c03630bef0dc0"},"schema_version":"1.0"},"canonical_sha256":"e900869d201880a8a0e00b75f5e4f31f9721a99baae5788e1001a3e043aff1a1","source":{"kind":"arxiv","id":"1304.2959","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2959","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2959v1","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2959","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"pith_short_12","alias_value":"5EAINHJADCAK","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5EAINHJADCAKRIHA","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5EAINHJA","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5EAINHJADCAKRIHABN27LZHTD6","target":"record","payload":{"canonical_record":{"source":{"id":"1304.2959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-04-10T13:47:22Z","cross_cats_sorted":["cs.DM","math.CO"],"title_canon_sha256":"1e57abdfcb13263510279716982206df0a4572f94a377eb8d2ff555921077b6f","abstract_canon_sha256":"6f913eed8eef7bc8bea46172cebdcd8781e3d73793359226672c03630bef0dc0"},"schema_version":"1.0"},"canonical_sha256":"e900869d201880a8a0e00b75f5e4f31f9721a99baae5788e1001a3e043aff1a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:20.274469Z","signature_b64":"W0dGsMtAz1VpGsRtcjU6qVTJmRCR9y3E3Dei+c5NnZ1AumYclrvoesKX6mChy3nAY64CcWVdHRK9aaObmQM/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e900869d201880a8a0e00b75f5e4f31f9721a99baae5788e1001a3e043aff1a1","last_reissued_at":"2026-05-18T03:28:20.273853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:20.273853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.2959","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":"2026-05-18T03:28:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h1IU2BXlIcRQVFPTCcUX/khZziSSd4UclRTxVZxAJskwufxVNqqmZBxA1ZqKiQLHd5DWqCH6yOhcRlVWYARgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:22:18.043367Z"},"content_sha256":"6d32e577ddcbedb6cd8a4d09805c201fcd3a8007ced17353652c74b3e0eefdf6","schema_version":"1.0","event_id":"sha256:6d32e577ddcbedb6cd8a4d09805c201fcd3a8007ced17353652c74b3e0eefdf6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5EAINHJADCAKRIHABN27LZHTD6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shortest Repetition-Free Words Accepted by Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","math.CO"],"primary_cat":"cs.FL","authors_text":"Hamoon Mousavi, Jeffrey Shallit","submitted_at":"2013-04-10T13:47:22Z","abstract_excerpt":"We consider the following problem: given that a finite automaton $M$ of $N$ states accepts at least one $k$-power-free (resp., overlap-free) word, what is the length of the shortest such word accepted? We give upper and lower bounds which, unfortunately, are widely separated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2959","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":"2026-05-18T03:28:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hqNstas40ArT/RyLjqaOEaEFQaPobuz2cNVm/5qQUvmyG2/gDeKVvgeSyJSw+NlbsdalJOS+yQztZMB/dMynDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:22:18.043863Z"},"content_sha256":"2176cee9c27fd4b3feacbbeacb82ecc61c95f35692cc0e2d29a1b88367faa567","schema_version":"1.0","event_id":"sha256:2176cee9c27fd4b3feacbbeacb82ecc61c95f35692cc0e2d29a1b88367faa567"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5EAINHJADCAKRIHABN27LZHTD6/bundle.json","state_url":"https://pith.science/pith/5EAINHJADCAKRIHABN27LZHTD6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5EAINHJADCAKRIHABN27LZHTD6/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":"2026-06-04T22:22:18Z","links":{"resolver":"https://pith.science/pith/5EAINHJADCAKRIHABN27LZHTD6","bundle":"https://pith.science/pith/5EAINHJADCAKRIHABN27LZHTD6/bundle.json","state":"https://pith.science/pith/5EAINHJADCAKRIHABN27LZHTD6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5EAINHJADCAKRIHABN27LZHTD6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5EAINHJADCAKRIHABN27LZHTD6","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":"6f913eed8eef7bc8bea46172cebdcd8781e3d73793359226672c03630bef0dc0","cross_cats_sorted":["cs.DM","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-04-10T13:47:22Z","title_canon_sha256":"1e57abdfcb13263510279716982206df0a4572f94a377eb8d2ff555921077b6f"},"schema_version":"1.0","source":{"id":"1304.2959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2959","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2959v1","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2959","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"pith_short_12","alias_value":"5EAINHJADCAK","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5EAINHJADCAKRIHA","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5EAINHJA","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:2176cee9c27fd4b3feacbbeacb82ecc61c95f35692cc0e2d29a1b88367faa567","target":"graph","created_at":"2026-05-18T03:28:20Z","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 consider the following problem: given that a finite automaton $M$ of $N$ states accepts at least one $k$-power-free (resp., overlap-free) word, what is the length of the shortest such word accepted? We give upper and lower bounds which, unfortunately, are widely separated.","authors_text":"Hamoon Mousavi, Jeffrey Shallit","cross_cats":["cs.DM","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-04-10T13:47:22Z","title":"Shortest Repetition-Free Words Accepted by Automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2959","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":"sha256:6d32e577ddcbedb6cd8a4d09805c201fcd3a8007ced17353652c74b3e0eefdf6","target":"record","created_at":"2026-05-18T03:28:20Z","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":"6f913eed8eef7bc8bea46172cebdcd8781e3d73793359226672c03630bef0dc0","cross_cats_sorted":["cs.DM","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-04-10T13:47:22Z","title_canon_sha256":"1e57abdfcb13263510279716982206df0a4572f94a377eb8d2ff555921077b6f"},"schema_version":"1.0","source":{"id":"1304.2959","kind":"arxiv","version":1}},"canonical_sha256":"e900869d201880a8a0e00b75f5e4f31f9721a99baae5788e1001a3e043aff1a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e900869d201880a8a0e00b75f5e4f31f9721a99baae5788e1001a3e043aff1a1","first_computed_at":"2026-05-18T03:28:20.273853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:20.273853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W0dGsMtAz1VpGsRtcjU6qVTJmRCR9y3E3Dei+c5NnZ1AumYclrvoesKX6mChy3nAY64CcWVdHRK9aaObmQM/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:20.274469Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.2959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d32e577ddcbedb6cd8a4d09805c201fcd3a8007ced17353652c74b3e0eefdf6","sha256:2176cee9c27fd4b3feacbbeacb82ecc61c95f35692cc0e2d29a1b88367faa567"],"state_sha256":"6060bbaa68398917928ca17f648c0139e858953f15cde83e5f782777e4f5df1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4O4AzX9rbo8giFQiY6E/RCBSVr6SdCtLypPdbyG7bjUMtAdlqFpAzGfcs6IxVbyHpa+CHkDgxc9KaS2xqH1NDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T22:22:18.046570Z","bundle_sha256":"0cbd71da724b2c9ea14a79536849ad0a6251b99c52d846b17544a55b408ad0bb"}}