{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZBSOORPS7PGJKI4767RJ3Z2ELN","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":"a90384ea7f813018c24ee8a4ac39a4f07c295318609e934e3e216f9345f76963","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-21T18:01:23Z","title_canon_sha256":"27b89e953eed2e0bd630dccb9f6fda8095e928c89a026d620b20f8bcbc7122bd"},"schema_version":"1.0","source":{"id":"1307.5552","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5552","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5552v1","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5552","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"ZBSOORPS7PGJ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZBSOORPS7PGJKI47","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZBSOORPS","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:e2364aee2c16497ae4ef478d64d11214863df3e8e77d71087f3e8934459110e3","target":"graph","created_at":"2026-05-18T03:17:55Z","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 propose two coding schemes for discrete memoryless broadcast channels (DMBCs) with rate-limited feedback from only one receiver. For any positive feedback rate and for the class of strictly less-noisy DMBCs, our schemes strictly improve over the no-feedback capacity region.","authors_text":"Mich\\`ele Wigger, Youlong Wu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-21T18:01:23Z","title":"Any Positive Feedback Rate Increases the Capacity of Strictly Less-Noisy Broadcast Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5552","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":"sha256:8ba2251b1eab832b285e62f696f5eaa56b7455e3fdbf852c91aaade5a58840c1","target":"record","created_at":"2026-05-18T03:17:55Z","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":"a90384ea7f813018c24ee8a4ac39a4f07c295318609e934e3e216f9345f76963","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-21T18:01:23Z","title_canon_sha256":"27b89e953eed2e0bd630dccb9f6fda8095e928c89a026d620b20f8bcbc7122bd"},"schema_version":"1.0","source":{"id":"1307.5552","kind":"arxiv","version":1}},"canonical_sha256":"c864e745f2fbcc95239ff7e29de7445b676326fc8a5a682eaecdf11ce8778312","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c864e745f2fbcc95239ff7e29de7445b676326fc8a5a682eaecdf11ce8778312","first_computed_at":"2026-05-18T03:17:55.346616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:55.346616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v4SCLpPnnxrq7Uc6KZYq5i+CJakNVJNshGVnbFOUGIPNmLxyD1FjG81KEFy2BxviNSHVWWZ+spFKoW6VjJ7mAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:55.347205Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.5552","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ba2251b1eab832b285e62f696f5eaa56b7455e3fdbf852c91aaade5a58840c1","sha256:e2364aee2c16497ae4ef478d64d11214863df3e8e77d71087f3e8934459110e3"],"state_sha256":"11b65ccd606716c381abeb1218eea62a241187e1658386709f04b7d78edc1785"}