{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AEDYLANQNVLOASKDDWKHZEUOV2","short_pith_number":"pith:AEDYLANQ","canonical_record":{"source":{"id":"1802.00325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-01T15:05:19Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"d26cd18f51ca4777ad70401c9d3906997070a1faa04e3aa52c455e0d84ba67da","abstract_canon_sha256":"f64bac39480dbf907af04c43fea9b07d4019b09e25ee56980148d19984f4bf66"},"schema_version":"1.0"},"canonical_sha256":"01078581b06d56e049431d947c928eaea01b0c91746c62f800281835b64a6668","source":{"kind":"arxiv","id":"1802.00325","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00325","created_at":"2026-05-18T00:24:36Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00325v1","created_at":"2026-05-18T00:24:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00325","created_at":"2026-05-18T00:24:36Z"},{"alias_kind":"pith_short_12","alias_value":"AEDYLANQNVLO","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AEDYLANQNVLOASKD","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AEDYLANQ","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AEDYLANQNVLOASKDDWKHZEUOV2","target":"record","payload":{"canonical_record":{"source":{"id":"1802.00325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-01T15:05:19Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"d26cd18f51ca4777ad70401c9d3906997070a1faa04e3aa52c455e0d84ba67da","abstract_canon_sha256":"f64bac39480dbf907af04c43fea9b07d4019b09e25ee56980148d19984f4bf66"},"schema_version":"1.0"},"canonical_sha256":"01078581b06d56e049431d947c928eaea01b0c91746c62f800281835b64a6668","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:36.258737Z","signature_b64":"EWbtw3Ypb9+BCRxefEab+4KADwO7FiRWSsht/HKrvABwHyedaIdmge5Hrfk95/m+W9EzNN+rxVh1ZjmMZ7xHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01078581b06d56e049431d947c928eaea01b0c91746c62f800281835b64a6668","last_reissued_at":"2026-05-18T00:24:36.258299Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:36.258299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.00325","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":"2026-05-18T00:24:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w39pxlkc9ho2tFRsblh0bklNxsfzvOBAX5UsNYwRNauhK1XJxIXlNhbksEmsv91XrwsbfstsEYkvcEAq6hrdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:39:17.029777Z"},"content_sha256":"27a44fe7243ff4a0fcd40512bd23f0edc01da9fcb067acad828e45746a66b473","schema_version":"1.0","event_id":"sha256:27a44fe7243ff4a0fcd40512bd23f0edc01da9fcb067acad828e45746a66b473"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AEDYLANQNVLOASKDDWKHZEUOV2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Common factors in automatic and Sturmian sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"math.CO","authors_text":"Jeffrey Shallit, Narad Rampersad","submitted_at":"2018-02-01T15:05:19Z","abstract_excerpt":"In this short note we show that a k-automatic sequence and a Sturmian sequence cannot have arbitrarily large factors in common."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00325","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":"2026-05-18T00:24:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e41pwFy8T3cnSnA/9D+dAPwipjSIdhriq9+BOZjZTy3h1X6DF7DQw1wpiS+K33wpNPdgzqHlgfvd0huVGXeVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:39:17.030120Z"},"content_sha256":"0c481601d0dc0fe0d93a4cdb3a86fe70a8b47ce2e5edeacc0771444cd45b0c4e","schema_version":"1.0","event_id":"sha256:0c481601d0dc0fe0d93a4cdb3a86fe70a8b47ce2e5edeacc0771444cd45b0c4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AEDYLANQNVLOASKDDWKHZEUOV2/bundle.json","state_url":"https://pith.science/pith/AEDYLANQNVLOASKDDWKHZEUOV2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AEDYLANQNVLOASKDDWKHZEUOV2/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":"2026-06-05T01:39:17Z","links":{"resolver":"https://pith.science/pith/AEDYLANQNVLOASKDDWKHZEUOV2","bundle":"https://pith.science/pith/AEDYLANQNVLOASKDDWKHZEUOV2/bundle.json","state":"https://pith.science/pith/AEDYLANQNVLOASKDDWKHZEUOV2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AEDYLANQNVLOASKDDWKHZEUOV2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AEDYLANQNVLOASKDDWKHZEUOV2","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":"f64bac39480dbf907af04c43fea9b07d4019b09e25ee56980148d19984f4bf66","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-01T15:05:19Z","title_canon_sha256":"d26cd18f51ca4777ad70401c9d3906997070a1faa04e3aa52c455e0d84ba67da"},"schema_version":"1.0","source":{"id":"1802.00325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00325","created_at":"2026-05-18T00:24:36Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00325v1","created_at":"2026-05-18T00:24:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00325","created_at":"2026-05-18T00:24:36Z"},{"alias_kind":"pith_short_12","alias_value":"AEDYLANQNVLO","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AEDYLANQNVLOASKD","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AEDYLANQ","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:0c481601d0dc0fe0d93a4cdb3a86fe70a8b47ce2e5edeacc0771444cd45b0c4e","target":"graph","created_at":"2026-05-18T00:24:36Z","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":"In this short note we show that a k-automatic sequence and a Sturmian sequence cannot have arbitrarily large factors in common.","authors_text":"Jeffrey Shallit, Narad Rampersad","cross_cats":["cs.FL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-01T15:05:19Z","title":"Common factors in automatic and Sturmian sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00325","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":"sha256:27a44fe7243ff4a0fcd40512bd23f0edc01da9fcb067acad828e45746a66b473","target":"record","created_at":"2026-05-18T00:24:36Z","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":"f64bac39480dbf907af04c43fea9b07d4019b09e25ee56980148d19984f4bf66","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-01T15:05:19Z","title_canon_sha256":"d26cd18f51ca4777ad70401c9d3906997070a1faa04e3aa52c455e0d84ba67da"},"schema_version":"1.0","source":{"id":"1802.00325","kind":"arxiv","version":1}},"canonical_sha256":"01078581b06d56e049431d947c928eaea01b0c91746c62f800281835b64a6668","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01078581b06d56e049431d947c928eaea01b0c91746c62f800281835b64a6668","first_computed_at":"2026-05-18T00:24:36.258299Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:36.258299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EWbtw3Ypb9+BCRxefEab+4KADwO7FiRWSsht/HKrvABwHyedaIdmge5Hrfk95/m+W9EzNN+rxVh1ZjmMZ7xHBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:36.258737Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.00325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27a44fe7243ff4a0fcd40512bd23f0edc01da9fcb067acad828e45746a66b473","sha256:0c481601d0dc0fe0d93a4cdb3a86fe70a8b47ce2e5edeacc0771444cd45b0c4e"],"state_sha256":"9b7a79f0ecf2655861cdb57cefc89c6db977103130c0c7c9bc6b2906d3dad157"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cjMeADHxtri3lO+qUUG+VLFfFwgCxSWOAgguxVmr/r9BPYKB6J/OXKv2fCSMHBoVXO/Pwvb3HnMgmM7+ehX3BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:39:17.032126Z","bundle_sha256":"caf3a894d5e94a09399e0d09bb8e8674c1f719bbda5256ae6205823e2ed4902b"}}