{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6GO54D25MDY2ZLKU3RWHN2AP6L","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":"2747de24c836352e4d38eb31a83542a6ca71506c40df66a79194d788a1cffcbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-01-16T13:29:28Z","title_canon_sha256":"9fb3b6a5eab1d2562cf98c0a25367df58540974b09dd946d62663f2dea56f09e"},"schema_version":"1.0","source":{"id":"1201.3251","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3251","created_at":"2026-05-18T03:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3251v2","created_at":"2026-05-18T03:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3251","created_at":"2026-05-18T03:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"6GO54D25MDY2","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6GO54D25MDY2ZLKU","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6GO54D25","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:ded0f724a3f3cc8656243e0f3f2b0945a421238a6f8d35517c5300dc8d7755a8","target":"graph","created_at":"2026-05-18T03:57:52Z","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 infinite sequences of symbols, also known as streams, and the decidability question for equality of streams defined in a restricted format. This restricted format consists of prefixing a symbol at the head of a stream, of the stream function `zip', and recursion variables. Here `zip' interleaves the elements of two streams in alternating order, starting with the first stream. For example, the Thue-Morse sequence is obtained by the `zip-specification' {M = 0 : X, X = 1 : zip(X,Y), Y = 0 : zip(Y,X)}. Our analysis of such systems employs both term rewriting and coalgebraic techniques.","authors_text":"Clemens Grabmayer, Dimitri Hendriks, Jan Willem Klop, Joerg Endrullis, Lawrence S. Moss","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-01-16T13:29:28Z","title":"Automatic Sequences and Zip-Specifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3251","kind":"arxiv","version":2},"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":"sha256:53096dd1d2d17779e5f04a60fd6ac401de420d5aea5dd39d30ac7e14ad238e25","target":"record","created_at":"2026-05-18T03:57:52Z","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":"2747de24c836352e4d38eb31a83542a6ca71506c40df66a79194d788a1cffcbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-01-16T13:29:28Z","title_canon_sha256":"9fb3b6a5eab1d2562cf98c0a25367df58540974b09dd946d62663f2dea56f09e"},"schema_version":"1.0","source":{"id":"1201.3251","kind":"arxiv","version":2}},"canonical_sha256":"f19dde0f5d60f1acad54dc6c76e80ff2d48c29f333de3a0364bb99e189f3247a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f19dde0f5d60f1acad54dc6c76e80ff2d48c29f333de3a0364bb99e189f3247a","first_computed_at":"2026-05-18T03:57:52.894615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:52.894615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n0/uGmwqb1Xra09eD5lXb0GJQ/uuQ9RDqFQq3CYElptyuqTtfbUaZ5c/FQ0fFqR/sGOtuaq0j0G7B3vXSsFWAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:52.895187Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.3251","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53096dd1d2d17779e5f04a60fd6ac401de420d5aea5dd39d30ac7e14ad238e25","sha256:ded0f724a3f3cc8656243e0f3f2b0945a421238a6f8d35517c5300dc8d7755a8"],"state_sha256":"680a1c309a3148a3b25f053b5a26487d8b128047c7695584f6f7b9a792d4b2cb"}