{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BQWXVJDPRXGNYN7INK6GDT6QIY","short_pith_number":"pith:BQWXVJDP","canonical_record":{"source":{"id":"1511.02307","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-07T05:56:57Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bc183d9646e1e0fa8610a49cac765ba421c4ee9b7e38451f73137d5a92939c6a","abstract_canon_sha256":"aef627b1fa2280128f96b68ac553427537478672a2ef1fe1781193c9d9285e20"},"schema_version":"1.0"},"canonical_sha256":"0c2d7aa46f8dccdc37e86abc61cfd0463770351a2495db0ae345394106dd2022","source":{"kind":"arxiv","id":"1511.02307","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02307","created_at":"2026-05-18T01:27:30Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02307v1","created_at":"2026-05-18T01:27:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02307","created_at":"2026-05-18T01:27:30Z"},{"alias_kind":"pith_short_12","alias_value":"BQWXVJDPRXGN","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BQWXVJDPRXGNYN7I","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BQWXVJDP","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BQWXVJDPRXGNYN7INK6GDT6QIY","target":"record","payload":{"canonical_record":{"source":{"id":"1511.02307","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-07T05:56:57Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bc183d9646e1e0fa8610a49cac765ba421c4ee9b7e38451f73137d5a92939c6a","abstract_canon_sha256":"aef627b1fa2280128f96b68ac553427537478672a2ef1fe1781193c9d9285e20"},"schema_version":"1.0"},"canonical_sha256":"0c2d7aa46f8dccdc37e86abc61cfd0463770351a2495db0ae345394106dd2022","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:30.727101Z","signature_b64":"vx6i9CbIj/lQIzltbM8fflHf5MsfDoIDpOz1lNFbSNWlIgXukV/H02Cz1Y1nHJx34xXA/8TofXn7+nDkyDJMBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c2d7aa46f8dccdc37e86abc61cfd0463770351a2495db0ae345394106dd2022","last_reissued_at":"2026-05-18T01:27:30.726620Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:30.726620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.02307","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":"2026-05-18T01:27:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DINR3eAa4SLy+c1pI2Nph7Vz67rj1y4jOSoV68/xAlnmGtnaOxbhTBKk/oxXJ4SYbrfb/SndEZfmjn/3VK8PDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T15:28:14.794102Z"},"content_sha256":"616003756e1d3670334becf3108244918c715576cc8faefe7f0b742bddf9df23","schema_version":"1.0","event_id":"sha256:616003756e1d3670334becf3108244918c715576cc8faefe7f0b742bddf9df23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BQWXVJDPRXGNYN7INK6GDT6QIY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Capacity Achieving Probability Measures for Molecular Receivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Faramarz Fekri, Mehrdad Tahmasbi","submitted_at":"2015-11-07T05:56:57Z","abstract_excerpt":"In this paper, diffusion-based molecular commu- nication with ligand receptor receivers is studied. Information messages are assumed to be encoded via variations of the con- centration of molecules. The randomness in the ligand reception process induces uncertainty in the communication; limiting the rate of information decoding. We model the ligand receptor receiver by a set of finite-state Markov channels and study the general capacity of such a receiver. Furthermore, the i.i.d. capacity of the receiver is characterized as a lower bound for the general capacity. It is also proved that a finit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02307","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":""},"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":"2026-05-18T01:27:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ODmlr+UAKFsdTgQ1gUyMjT+s5Gl+zRgyG6IbfiJZKXngDjAKZnXivA3jMQJhIwLJ+pSRcX0iI3nm7ZBT3FnrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T15:28:14.794462Z"},"content_sha256":"affaa09910dad79c6d7957997b98441f1febc3e596f1299b65e6c6c7d3175ce5","schema_version":"1.0","event_id":"sha256:affaa09910dad79c6d7957997b98441f1febc3e596f1299b65e6c6c7d3175ce5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BQWXVJDPRXGNYN7INK6GDT6QIY/bundle.json","state_url":"https://pith.science/pith/BQWXVJDPRXGNYN7INK6GDT6QIY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BQWXVJDPRXGNYN7INK6GDT6QIY/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":"2026-06-28T15:28:14Z","links":{"resolver":"https://pith.science/pith/BQWXVJDPRXGNYN7INK6GDT6QIY","bundle":"https://pith.science/pith/BQWXVJDPRXGNYN7INK6GDT6QIY/bundle.json","state":"https://pith.science/pith/BQWXVJDPRXGNYN7INK6GDT6QIY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BQWXVJDPRXGNYN7INK6GDT6QIY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BQWXVJDPRXGNYN7INK6GDT6QIY","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":"aef627b1fa2280128f96b68ac553427537478672a2ef1fe1781193c9d9285e20","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-07T05:56:57Z","title_canon_sha256":"bc183d9646e1e0fa8610a49cac765ba421c4ee9b7e38451f73137d5a92939c6a"},"schema_version":"1.0","source":{"id":"1511.02307","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02307","created_at":"2026-05-18T01:27:30Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02307v1","created_at":"2026-05-18T01:27:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02307","created_at":"2026-05-18T01:27:30Z"},{"alias_kind":"pith_short_12","alias_value":"BQWXVJDPRXGN","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BQWXVJDPRXGNYN7I","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BQWXVJDP","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:affaa09910dad79c6d7957997b98441f1febc3e596f1299b65e6c6c7d3175ce5","target":"graph","created_at":"2026-05-18T01:27:30Z","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, diffusion-based molecular commu- nication with ligand receptor receivers is studied. Information messages are assumed to be encoded via variations of the con- centration of molecules. The randomness in the ligand reception process induces uncertainty in the communication; limiting the rate of information decoding. We model the ligand receptor receiver by a set of finite-state Markov channels and study the general capacity of such a receiver. Furthermore, the i.i.d. capacity of the receiver is characterized as a lower bound for the general capacity. It is also proved that a finit","authors_text":"Faramarz Fekri, Mehrdad Tahmasbi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-07T05:56:57Z","title":"On the Capacity Achieving Probability Measures for Molecular Receivers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02307","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":"sha256:616003756e1d3670334becf3108244918c715576cc8faefe7f0b742bddf9df23","target":"record","created_at":"2026-05-18T01:27:30Z","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":"aef627b1fa2280128f96b68ac553427537478672a2ef1fe1781193c9d9285e20","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-07T05:56:57Z","title_canon_sha256":"bc183d9646e1e0fa8610a49cac765ba421c4ee9b7e38451f73137d5a92939c6a"},"schema_version":"1.0","source":{"id":"1511.02307","kind":"arxiv","version":1}},"canonical_sha256":"0c2d7aa46f8dccdc37e86abc61cfd0463770351a2495db0ae345394106dd2022","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c2d7aa46f8dccdc37e86abc61cfd0463770351a2495db0ae345394106dd2022","first_computed_at":"2026-05-18T01:27:30.726620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:30.726620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vx6i9CbIj/lQIzltbM8fflHf5MsfDoIDpOz1lNFbSNWlIgXukV/H02Cz1Y1nHJx34xXA/8TofXn7+nDkyDJMBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:30.727101Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02307","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:616003756e1d3670334becf3108244918c715576cc8faefe7f0b742bddf9df23","sha256:affaa09910dad79c6d7957997b98441f1febc3e596f1299b65e6c6c7d3175ce5"],"state_sha256":"b1336540a602b9d63e94ed59832db82f2fce77af5d45823c9778e7534313fec6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0yRxCFdItZP93XwDifat13gc2yIL4KYBe/i1xgUecicKWQEcO9c+UdpzGilF3+H8/vy+kVbNTTzNeSbWv9JpAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T15:28:14.796356Z","bundle_sha256":"de47ed37c9a32432ff52aed4648e2e931713f2e408e0f7305a8fd324fcc690b6"}}