{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:N3IM5HTCYSEM4Y3K6XR2LNBRCI","short_pith_number":"pith:N3IM5HTC","canonical_record":{"source":{"id":"2210.01951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-10-04T22:59:10Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8c1670addf21157edb03c68e6d003ab2eeca1a7ddd5df86450334fbd46c3925d","abstract_canon_sha256":"696865c6bfef31a27c494e99814c78c937080ce8fe2164ee726fa7c8a5099e93"},"schema_version":"1.0"},"canonical_sha256":"6ed0ce9e62c488ce636af5e3a5b43112285a001edaeee92fffd6c11de6bbf3a6","source":{"kind":"arxiv","id":"2210.01951","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.01951","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"2210.01951v1","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.01951","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"N3IM5HTCYSEM","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"pith_short_16","alias_value":"N3IM5HTCYSEM4Y3K","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"pith_short_8","alias_value":"N3IM5HTC","created_at":"2026-07-05T05:03:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:N3IM5HTCYSEM4Y3K6XR2LNBRCI","target":"record","payload":{"canonical_record":{"source":{"id":"2210.01951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-10-04T22:59:10Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8c1670addf21157edb03c68e6d003ab2eeca1a7ddd5df86450334fbd46c3925d","abstract_canon_sha256":"696865c6bfef31a27c494e99814c78c937080ce8fe2164ee726fa7c8a5099e93"},"schema_version":"1.0"},"canonical_sha256":"6ed0ce9e62c488ce636af5e3a5b43112285a001edaeee92fffd6c11de6bbf3a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:03:41.632606Z","signature_b64":"nxqibUCAV2tybadx54vz5zSOHO7rdCDf3keu4SCYOmFLyCGYot37K3PynIxQtrGXKUcKreqI8pfqgfrTwoOdDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ed0ce9e62c488ce636af5e3a5b43112285a001edaeee92fffd6c11de6bbf3a6","last_reissued_at":"2026-07-05T05:03:41.632169Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:03:41.632169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.01951","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:03:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AkWgAzQOWN8Rn6pXWIkyjk23GVsL5DmKqg2sGW8SIw92MqsfzOHUZnaskl7iqmclYnScxmiLc5TlNop3waHKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T15:09:00.148810Z"},"content_sha256":"7340ac13f44a1fad71eab8582432344fde64a23f750ca12aa7aa916ee9f823f0","schema_version":"1.0","event_id":"sha256:7340ac13f44a1fad71eab8582432344fde64a23f750ca12aa7aa916ee9f823f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:N3IM5HTCYSEM4Y3K6XR2LNBRCI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-Blocklength Results for the A-channel: Applications to Unsourced Random Access and Group Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alejandro Lancho, Alexander Fengler, Yury Polyanskiy","submitted_at":"2022-10-04T22:59:10Z","abstract_excerpt":"We present finite-blocklength achievability bounds for the unsourced A-channel. In this multiple-access channel, users noiselessly transmit codewords picked from a common codebook with entries generated from a $q$-ary alphabet. At each channel use, the receiver observes the set of different transmitted symbols but not their multiplicity. We show that the A-channel finds applications in unsourced random-access (URA) and group testing. Leveraging the insights provided by the finite-blocklength bounds and the connection between URA and non-adaptive group testing through the A-channel, we propose "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.01951","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.01951/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:03:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vXAm2vpM66Qg7pL6inSs2Ot/5rk08tmlBSLJx24L/2+pZuTgIAN+T0WmTj5wtNmA1TvSMyrWqekQhPttk3VMDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T15:09:00.149672Z"},"content_sha256":"130cbf1eb40ea195f177f61f238a7e67ef46d3887bc54488c8fa74765e5e918e","schema_version":"1.0","event_id":"sha256:130cbf1eb40ea195f177f61f238a7e67ef46d3887bc54488c8fa74765e5e918e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N3IM5HTCYSEM4Y3K6XR2LNBRCI/bundle.json","state_url":"https://pith.science/pith/N3IM5HTCYSEM4Y3K6XR2LNBRCI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N3IM5HTCYSEM4Y3K6XR2LNBRCI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-23T15:09:00Z","links":{"resolver":"https://pith.science/pith/N3IM5HTCYSEM4Y3K6XR2LNBRCI","bundle":"https://pith.science/pith/N3IM5HTCYSEM4Y3K6XR2LNBRCI/bundle.json","state":"https://pith.science/pith/N3IM5HTCYSEM4Y3K6XR2LNBRCI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N3IM5HTCYSEM4Y3K6XR2LNBRCI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:N3IM5HTCYSEM4Y3K6XR2LNBRCI","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":"696865c6bfef31a27c494e99814c78c937080ce8fe2164ee726fa7c8a5099e93","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-10-04T22:59:10Z","title_canon_sha256":"8c1670addf21157edb03c68e6d003ab2eeca1a7ddd5df86450334fbd46c3925d"},"schema_version":"1.0","source":{"id":"2210.01951","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.01951","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"2210.01951v1","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.01951","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"N3IM5HTCYSEM","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"pith_short_16","alias_value":"N3IM5HTCYSEM4Y3K","created_at":"2026-07-05T05:03:41Z"},{"alias_kind":"pith_short_8","alias_value":"N3IM5HTC","created_at":"2026-07-05T05:03:41Z"}],"graph_snapshots":[{"event_id":"sha256:130cbf1eb40ea195f177f61f238a7e67ef46d3887bc54488c8fa74765e5e918e","target":"graph","created_at":"2026-07-05T05:03:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.01951/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present finite-blocklength achievability bounds for the unsourced A-channel. In this multiple-access channel, users noiselessly transmit codewords picked from a common codebook with entries generated from a $q$-ary alphabet. At each channel use, the receiver observes the set of different transmitted symbols but not their multiplicity. We show that the A-channel finds applications in unsourced random-access (URA) and group testing. Leveraging the insights provided by the finite-blocklength bounds and the connection between URA and non-adaptive group testing through the A-channel, we propose ","authors_text":"Alejandro Lancho, Alexander Fengler, Yury Polyanskiy","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-10-04T22:59:10Z","title":"Finite-Blocklength Results for the A-channel: Applications to Unsourced Random Access and Group Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.01951","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":"sha256:7340ac13f44a1fad71eab8582432344fde64a23f750ca12aa7aa916ee9f823f0","target":"record","created_at":"2026-07-05T05:03:41Z","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":"696865c6bfef31a27c494e99814c78c937080ce8fe2164ee726fa7c8a5099e93","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-10-04T22:59:10Z","title_canon_sha256":"8c1670addf21157edb03c68e6d003ab2eeca1a7ddd5df86450334fbd46c3925d"},"schema_version":"1.0","source":{"id":"2210.01951","kind":"arxiv","version":1}},"canonical_sha256":"6ed0ce9e62c488ce636af5e3a5b43112285a001edaeee92fffd6c11de6bbf3a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ed0ce9e62c488ce636af5e3a5b43112285a001edaeee92fffd6c11de6bbf3a6","first_computed_at":"2026-07-05T05:03:41.632169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:03:41.632169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nxqibUCAV2tybadx54vz5zSOHO7rdCDf3keu4SCYOmFLyCGYot37K3PynIxQtrGXKUcKreqI8pfqgfrTwoOdDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:03:41.632606Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.01951","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7340ac13f44a1fad71eab8582432344fde64a23f750ca12aa7aa916ee9f823f0","sha256:130cbf1eb40ea195f177f61f238a7e67ef46d3887bc54488c8fa74765e5e918e"],"state_sha256":"d5a5912229658eddf0221d94ce7203b2f35f400da781d181614480bdaf92bae9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3F7zZvpZ7Grsg/dJO6/eqLo5kRn4eeB/5Sq7QfeEBNILC/DOkW7pCtN+s+SGVEFUeecgO6KaMb0RlHndQQd9BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T15:09:00.155680Z","bundle_sha256":"298ed951cc8397d2fe4a9a8e9440da2a26d334b6a6bd65bd60f28051b405e7c1"}}