{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:PIW6WB2UFMXXUISOW7HIEOAOVX","short_pith_number":"pith:PIW6WB2U","canonical_record":{"source":{"id":"1309.5201","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-20T08:17:41Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"850fa23aee21ae41616b1c306af82097d9dff7be3f24f8e15d90b59251bcdbce","abstract_canon_sha256":"10c4dc6f63daebda64810e82cc2fca6a0a5435b3b6b292ed372fbebf0dce18cb"},"schema_version":"1.0"},"canonical_sha256":"7a2deb07542b2f7a224eb7ce82380eade3b33b68cdb3ac544736e0f997771e79","source":{"kind":"arxiv","id":"1309.5201","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5201","created_at":"2026-05-18T02:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5201v2","created_at":"2026-05-18T02:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5201","created_at":"2026-05-18T02:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"PIW6WB2UFMXX","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PIW6WB2UFMXXUISO","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PIW6WB2U","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:PIW6WB2UFMXXUISOW7HIEOAOVX","target":"record","payload":{"canonical_record":{"source":{"id":"1309.5201","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-20T08:17:41Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"850fa23aee21ae41616b1c306af82097d9dff7be3f24f8e15d90b59251bcdbce","abstract_canon_sha256":"10c4dc6f63daebda64810e82cc2fca6a0a5435b3b6b292ed372fbebf0dce18cb"},"schema_version":"1.0"},"canonical_sha256":"7a2deb07542b2f7a224eb7ce82380eade3b33b68cdb3ac544736e0f997771e79","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:02.219071Z","signature_b64":"kDCjAlZKe5/NFfpH3LWV+B48fMF8G2hG15PxOXLdri5oVXCnnacjL/3yz+skbPGzkCQrf5UwD5L8l+4URI6vBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a2deb07542b2f7a224eb7ce82380eade3b33b68cdb3ac544736e0f997771e79","last_reissued_at":"2026-05-18T02:40:02.218591Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:02.218591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.5201","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EQpBVi38lpgmCuVkbcWjLCnFrzI+NfXMRNg+MKgpSsCxLtg/+wfAx4pZE8qAn0x0lxzOiKKp45UYTDG3sKSoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:18:30.730458Z"},"content_sha256":"2946c84e970987c158a71d08143938d9ff2e5f6c81acfd6e18d20f9b4ca1ffc0","schema_version":"1.0","event_id":"sha256:2946c84e970987c158a71d08143938d9ff2e5f6c81acfd6e18d20f9b4ca1ffc0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:PIW6WB2UFMXXUISOW7HIEOAOVX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diffusive Molecular Communication with Disruptive Flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Adam Noel, Karen C. Cheung, Robert Schober","submitted_at":"2013-09-20T08:17:41Z","abstract_excerpt":"In this paper, we study the performance of detectors in a diffusive molecular communication environment where steady uniform flow is present. We derive the expected number of information molecules to be observed in a passive spherical receiver, and determine the impact of flow on the assumption that the concentration of molecules throughout the receiver is uniform. Simulation results show the impact of advection on detector performance as a function of the flow's magnitude and direction. We highlight that there are disruptive flows, i.e., flows that are not in the direction of information tran"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5201","kind":"arxiv","version":2},"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":"2026-05-18T02:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wfGcm6mdFbQWrwKaPcryYBZ0nR5rddeoRbqCzVhY7CnlPho9Iq70XHJQmd158pnM0YNuxyVnDBYLlAqngwi8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:18:30.731231Z"},"content_sha256":"1515bacafd1687e3fe56e8204ab9b2dd3142143460f833b6f370c5109ac02939","schema_version":"1.0","event_id":"sha256:1515bacafd1687e3fe56e8204ab9b2dd3142143460f833b6f370c5109ac02939"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PIW6WB2UFMXXUISOW7HIEOAOVX/bundle.json","state_url":"https://pith.science/pith/PIW6WB2UFMXXUISOW7HIEOAOVX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PIW6WB2UFMXXUISOW7HIEOAOVX/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":"2026-05-31T08:18:30Z","links":{"resolver":"https://pith.science/pith/PIW6WB2UFMXXUISOW7HIEOAOVX","bundle":"https://pith.science/pith/PIW6WB2UFMXXUISOW7HIEOAOVX/bundle.json","state":"https://pith.science/pith/PIW6WB2UFMXXUISOW7HIEOAOVX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PIW6WB2UFMXXUISOW7HIEOAOVX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PIW6WB2UFMXXUISOW7HIEOAOVX","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":"10c4dc6f63daebda64810e82cc2fca6a0a5435b3b6b292ed372fbebf0dce18cb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-20T08:17:41Z","title_canon_sha256":"850fa23aee21ae41616b1c306af82097d9dff7be3f24f8e15d90b59251bcdbce"},"schema_version":"1.0","source":{"id":"1309.5201","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5201","created_at":"2026-05-18T02:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5201v2","created_at":"2026-05-18T02:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5201","created_at":"2026-05-18T02:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"PIW6WB2UFMXX","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PIW6WB2UFMXXUISO","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PIW6WB2U","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:1515bacafd1687e3fe56e8204ab9b2dd3142143460f833b6f370c5109ac02939","target":"graph","created_at":"2026-05-18T02:40:02Z","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 study the performance of detectors in a diffusive molecular communication environment where steady uniform flow is present. We derive the expected number of information molecules to be observed in a passive spherical receiver, and determine the impact of flow on the assumption that the concentration of molecules throughout the receiver is uniform. Simulation results show the impact of advection on detector performance as a function of the flow's magnitude and direction. We highlight that there are disruptive flows, i.e., flows that are not in the direction of information tran","authors_text":"Adam Noel, Karen C. Cheung, Robert Schober","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-20T08:17:41Z","title":"Diffusive Molecular Communication with Disruptive Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5201","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":"sha256:2946c84e970987c158a71d08143938d9ff2e5f6c81acfd6e18d20f9b4ca1ffc0","target":"record","created_at":"2026-05-18T02:40:02Z","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":"10c4dc6f63daebda64810e82cc2fca6a0a5435b3b6b292ed372fbebf0dce18cb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-20T08:17:41Z","title_canon_sha256":"850fa23aee21ae41616b1c306af82097d9dff7be3f24f8e15d90b59251bcdbce"},"schema_version":"1.0","source":{"id":"1309.5201","kind":"arxiv","version":2}},"canonical_sha256":"7a2deb07542b2f7a224eb7ce82380eade3b33b68cdb3ac544736e0f997771e79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a2deb07542b2f7a224eb7ce82380eade3b33b68cdb3ac544736e0f997771e79","first_computed_at":"2026-05-18T02:40:02.218591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:02.218591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kDCjAlZKe5/NFfpH3LWV+B48fMF8G2hG15PxOXLdri5oVXCnnacjL/3yz+skbPGzkCQrf5UwD5L8l+4URI6vBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:02.219071Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.5201","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2946c84e970987c158a71d08143938d9ff2e5f6c81acfd6e18d20f9b4ca1ffc0","sha256:1515bacafd1687e3fe56e8204ab9b2dd3142143460f833b6f370c5109ac02939"],"state_sha256":"345fdd8e0a4370ec9c1affac37f8108fef5cc76d7e3b76d6dd370862c5acbf30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CI46TFdnPxCJJyCduhhjgx8mv/VhK5jOLUzYHj8tlviFu8J5gzlTz7e/7RCMPWj1cuTKCT8RxkHwmnA6dXJaBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:18:30.734840Z","bundle_sha256":"ca8a448440bfd6266c77fa000d4e31b175b0e55e21143a5727b7bf4ae71df5dd"}}