{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6C7XJWSWSDYXA74Q6JJ7WROHSY","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":"5db7cf5bdfe69ef4c4f719bbfd65854a48110115f7ead43db3481b2254558a97","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-04-02T00:56:02Z","title_canon_sha256":"11011e7817d6f3819530c81aa1afa13efdfa3bebfb0abd3254f72b590cad3472"},"schema_version":"1.0","source":{"id":"1404.0425","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0425","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0425v2","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0425","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"6C7XJWSWSDYX","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6C7XJWSWSDYXA74Q","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6C7XJWSW","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:c9a7a946d64161e96c51f3775cd43e66d61cd6e0325d7e41b2f3d5ea156533af","target":"graph","created_at":"2026-05-18T00:58:11Z","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 propose a novel partition reservation system to study the partition information and its transmission over a noise-free Boolean multi-access channel. The objective of transmission is not message restoration, but to partition active users into distinct groups so that they can, subsequently, transmit their messages without collision. We first calculate (by mutual information) the amount of information needed for the partitioning without channel effects, and then propose two different coding schemes to obtain achievable transmission rates over the channel. The first one is the br","authors_text":"Jian Yuan, Ramachandran Vaidyanathan, Shuangqing Wei, Shuhang Wu, Yue Wang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-04-02T00:56:02Z","title":"Partition Information and its Transmission over Boolean Multi-Access Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0425","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":"sha256:1e9ed1ae946006451deba69baca69081b3ace362446fb33111c32be4fe184896","target":"record","created_at":"2026-05-18T00:58:11Z","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":"5db7cf5bdfe69ef4c4f719bbfd65854a48110115f7ead43db3481b2254558a97","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-04-02T00:56:02Z","title_canon_sha256":"11011e7817d6f3819530c81aa1afa13efdfa3bebfb0abd3254f72b590cad3472"},"schema_version":"1.0","source":{"id":"1404.0425","kind":"arxiv","version":2}},"canonical_sha256":"f0bf74da5690f1707f90f253fb45c7960e90e834bea4337b2f4516b68cdd7c7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0bf74da5690f1707f90f253fb45c7960e90e834bea4337b2f4516b68cdd7c7e","first_computed_at":"2026-05-18T00:58:11.938067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:11.938067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vkqOJ6w1Rk+DkSOEQ2CLNN9mxDbXn4oG0sXehMmfmbPwx8oEfSKYaOkz+WrtxAI0ss3ez++f4f+BF8aTeYXTDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:11.938772Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.0425","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e9ed1ae946006451deba69baca69081b3ace362446fb33111c32be4fe184896","sha256:c9a7a946d64161e96c51f3775cd43e66d61cd6e0325d7e41b2f3d5ea156533af"],"state_sha256":"479d31258cf5c454fa70636db98e26ff5864f48b8997585c0ee35e589cebed8b"}