{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:P2ZNQ7W5IGTLNT7RHALACWSYUG","short_pith_number":"pith:P2ZNQ7W5","schema_version":"1.0","canonical_sha256":"7eb2d87edd41a6b6cff13816015a58a1a2a82b6d14ca99402c7a1bc82d4f26ca","source":{"kind":"arxiv","id":"1602.04835","version":4},"attestation_state":"computed","paper":{"title":"Cutset Width and Spacing for Reduced Cutset Coding of Markov Random Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"David L. Neuhoff, Matthew G. Reyes","submitted_at":"2016-02-15T21:02:22Z","abstract_excerpt":"In this paper we explore tradeoffs, regarding coding performance, between the thickness and spacing of the cutset used in Reduced Cutset Coding (RCC) of a Markov random field image model. Considering MRF models on a square lattice of sites, we show that under a stationarity condition, increasing the thickness of the cutset reduces coding rate for the cutset, increasing the spacing between components of the cutset increases the coding rate of the non-cutset pixels, though the coding rate of the latter is always strictly less than that of the former. We show that the redundancy of RCC can be dec"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1602.04835","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-02-15T21:02:22Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2a7288f9f5ec09f5a8c7bcceeab80bfbe44443fe84398c9a1aee324764fe3954","abstract_canon_sha256":"23395d0355b704070e0d3afa3784e4f9b9294b040c52e52823b0a8236d6e9696"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:07.886560Z","signature_b64":"KO1e4bg4hFWlUgJKlTFjyH6kybgl0s8Oo6qInlWFiyr6nH0nnJMlCIyvL5HNiwAE0WKJTYDlds0ZlUg0OxP6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7eb2d87edd41a6b6cff13816015a58a1a2a82b6d14ca99402c7a1bc82d4f26ca","last_reissued_at":"2026-05-18T01:20:07.885907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:07.885907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cutset Width and Spacing for Reduced Cutset Coding of Markov Random Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"David L. Neuhoff, Matthew G. Reyes","submitted_at":"2016-02-15T21:02:22Z","abstract_excerpt":"In this paper we explore tradeoffs, regarding coding performance, between the thickness and spacing of the cutset used in Reduced Cutset Coding (RCC) of a Markov random field image model. Considering MRF models on a square lattice of sites, we show that under a stationarity condition, increasing the thickness of the cutset reduces coding rate for the cutset, increasing the spacing between components of the cutset increases the coding rate of the non-cutset pixels, though the coding rate of the latter is always strictly less than that of the former. We show that the redundancy of RCC can be dec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04835","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1602.04835","created_at":"2026-05-18T01:20:07.886001+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.04835v4","created_at":"2026-05-18T01:20:07.886001+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04835","created_at":"2026-05-18T01:20:07.886001+00:00"},{"alias_kind":"pith_short_12","alias_value":"P2ZNQ7W5IGTL","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"P2ZNQ7W5IGTLNT7R","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"P2ZNQ7W5","created_at":"2026-05-18T12:30:36.002864+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P2ZNQ7W5IGTLNT7RHALACWSYUG","json":"https://pith.science/pith/P2ZNQ7W5IGTLNT7RHALACWSYUG.json","graph_json":"https://pith.science/api/pith-number/P2ZNQ7W5IGTLNT7RHALACWSYUG/graph.json","events_json":"https://pith.science/api/pith-number/P2ZNQ7W5IGTLNT7RHALACWSYUG/events.json","paper":"https://pith.science/paper/P2ZNQ7W5"},"agent_actions":{"view_html":"https://pith.science/pith/P2ZNQ7W5IGTLNT7RHALACWSYUG","download_json":"https://pith.science/pith/P2ZNQ7W5IGTLNT7RHALACWSYUG.json","view_paper":"https://pith.science/paper/P2ZNQ7W5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.04835&json=true","fetch_graph":"https://pith.science/api/pith-number/P2ZNQ7W5IGTLNT7RHALACWSYUG/graph.json","fetch_events":"https://pith.science/api/pith-number/P2ZNQ7W5IGTLNT7RHALACWSYUG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P2ZNQ7W5IGTLNT7RHALACWSYUG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P2ZNQ7W5IGTLNT7RHALACWSYUG/action/storage_attestation","attest_author":"https://pith.science/pith/P2ZNQ7W5IGTLNT7RHALACWSYUG/action/author_attestation","sign_citation":"https://pith.science/pith/P2ZNQ7W5IGTLNT7RHALACWSYUG/action/citation_signature","submit_replication":"https://pith.science/pith/P2ZNQ7W5IGTLNT7RHALACWSYUG/action/replication_record"}},"created_at":"2026-05-18T01:20:07.886001+00:00","updated_at":"2026-05-18T01:20:07.886001+00:00"}