{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:V7444ZHH3FKLCBZWHYNJTRJV34","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":"4f2a7e1b79db26e4580b31379e0557dbf6d060bfec16d4b68dd8bdd660f2af81","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-08T07:02:27Z","title_canon_sha256":"0ad543028f549341bd9691a88308905c09c288bdda3a38422b4be5e27ffcefd9"},"schema_version":"1.0","source":{"id":"1210.2159","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2159","created_at":"2026-05-18T03:43:50Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2159v1","created_at":"2026-05-18T03:43:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2159","created_at":"2026-05-18T03:43:50Z"},{"alias_kind":"pith_short_12","alias_value":"V7444ZHH3FKL","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"V7444ZHH3FKLCBZW","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"V7444ZHH","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:26b4d7966e2f4589d657f8a405decb7b631cea0165f04ce820ebdbf5c0a77923","target":"graph","created_at":"2026-05-18T03:43:50Z","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 paper, we design explicit codes for strong coordination in two-node networks. Specifically, we consider a two-node network in which the action imposed by nature is binary and uniform, and the action to coordinate is obtained via a symmetric discrete memoryless channel. By observing that polar codes are useful for channel resolvability over binary symmetric channels, we prove that nested polar codes achieve a subset of the strong coordination capacity region, and therefore provide a constructive and low complexity solution for strong coordination.","authors_text":"Joerg Kliewer, Laura Luzzi, Matthieu R. Bloch","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-08T07:02:27Z","title":"Strong Coordination with Polar Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2159","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":"sha256:851f0b4bafb5f88686f8d4c5e3aba9dd451e1b19c58400193084e1b01fccd368","target":"record","created_at":"2026-05-18T03:43:50Z","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":"4f2a7e1b79db26e4580b31379e0557dbf6d060bfec16d4b68dd8bdd660f2af81","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-08T07:02:27Z","title_canon_sha256":"0ad543028f549341bd9691a88308905c09c288bdda3a38422b4be5e27ffcefd9"},"schema_version":"1.0","source":{"id":"1210.2159","kind":"arxiv","version":1}},"canonical_sha256":"aff9ce64e7d954b107363e1a99c535df084223a3e838902b09f78e0555f00479","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aff9ce64e7d954b107363e1a99c535df084223a3e838902b09f78e0555f00479","first_computed_at":"2026-05-18T03:43:50.936892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:50.936892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IWeqxo8pwRGiJX6JdOTPJj+nsm27VKEfODic3mf+CzakNQEIzGymbrkGv/L7ZH4HzPI59wvJWXUoa3eIWGfvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:50.937503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2159","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:851f0b4bafb5f88686f8d4c5e3aba9dd451e1b19c58400193084e1b01fccd368","sha256:26b4d7966e2f4589d657f8a405decb7b631cea0165f04ce820ebdbf5c0a77923"],"state_sha256":"5f4c1915fa378206d9a88ceb155fc0fd25c5c6ca74cd9e48d9013c39bc520b37"}