{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YRAFFPWHVO5KCNOOPNOLHXTO7B","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":"3fb39b5b11fc2e44ea82e9ce6ad165e9b23350c022aea7ddbee3982034a0824c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-02-01T09:47:23Z","title_canon_sha256":"710d5a46f29c7e94afcadddba4caa5f4b4e5ccce9af78d0fde342fa4f37a2c3a"},"schema_version":"1.0","source":{"id":"1602.00446","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00446","created_at":"2026-05-18T01:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00446v2","created_at":"2026-05-18T01:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00446","created_at":"2026-05-18T01:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"YRAFFPWHVO5K","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YRAFFPWHVO5KCNOO","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YRAFFPWH","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:9af24f841189eb141a9885ce71b4dbd11982d4380dff8e4950f156379adc7875","target":"graph","created_at":"2026-05-18T01:21:25Z","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":"The demand of two-dimensional source coding and constrained coding has been getting higher these days, but compared to the one-dimensional case, many problems have remained open as the analysis is cumbersome. A main reason for that would be because there are no graph representations discovered so far. In this paper, we focus on a two-dimensional finite type constrained system, a set of two-dimensional blocks characterized by a finite number of two-dimensional constraints, and propose its graph representation. We then show how to generate an element of the two-dimensional finite type constraine","authors_text":"Akiko Manada, Hiroyoshi Morita, Takahiro Ota","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-02-01T09:47:23Z","title":"A Graph Representation for Two-Dimensional Finite Type Constrained Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00446","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:ef78818d8e4923c4183442f61c3332f6bd3598bd816a621101de90393f094053","target":"record","created_at":"2026-05-18T01:21:25Z","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":"3fb39b5b11fc2e44ea82e9ce6ad165e9b23350c022aea7ddbee3982034a0824c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-02-01T09:47:23Z","title_canon_sha256":"710d5a46f29c7e94afcadddba4caa5f4b4e5ccce9af78d0fde342fa4f37a2c3a"},"schema_version":"1.0","source":{"id":"1602.00446","kind":"arxiv","version":2}},"canonical_sha256":"c44052bec7abbaa135ce7b5cb3de6ef8408818545c62c443d9d0735d049c210b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c44052bec7abbaa135ce7b5cb3de6ef8408818545c62c443d9d0735d049c210b","first_computed_at":"2026-05-18T01:21:25.002364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:25.002364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p+/pVbInRC/+OOrz/UkMS2CpKRKty6qQOiqB04ERpihJqou8Rz7QSOJZA7McfEgDZCFrZOPqIT6Y1o5CBbKeDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:25.003017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.00446","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef78818d8e4923c4183442f61c3332f6bd3598bd816a621101de90393f094053","sha256:9af24f841189eb141a9885ce71b4dbd11982d4380dff8e4950f156379adc7875"],"state_sha256":"cdb9fbc0d1961900e2a977d56b284c9298123997428fef2b108b4b8ff5e46618"}