{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LWKPADQJFRM2IHRNMTURGKOC3W","short_pith_number":"pith:LWKPADQJ","canonical_record":{"source":{"id":"1809.09995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.ET","submitted_at":"2018-09-26T13:45:42Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"1b88f966d2528e9bc550e765428f618ceee73e6ecef1522ff8b0b783e38f274f","abstract_canon_sha256":"0bcd0eb6481f2a4a6bd3cd56c44208de5ee0fe8a2c10f6fd1cedbb24df10b016"},"schema_version":"1.0"},"canonical_sha256":"5d94f00e092c59a41e2d64e91329c2dda6b05c6ef3cdc62d478bd48f73f75f67","source":{"kind":"arxiv","id":"1809.09995","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.09995","created_at":"2026-05-18T00:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"1809.09995v1","created_at":"2026-05-18T00:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09995","created_at":"2026-05-18T00:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"LWKPADQJFRM2","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LWKPADQJFRM2IHRN","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LWKPADQJ","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LWKPADQJFRM2IHRNMTURGKOC3W","target":"record","payload":{"canonical_record":{"source":{"id":"1809.09995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.ET","submitted_at":"2018-09-26T13:45:42Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"1b88f966d2528e9bc550e765428f618ceee73e6ecef1522ff8b0b783e38f274f","abstract_canon_sha256":"0bcd0eb6481f2a4a6bd3cd56c44208de5ee0fe8a2c10f6fd1cedbb24df10b016"},"schema_version":"1.0"},"canonical_sha256":"5d94f00e092c59a41e2d64e91329c2dda6b05c6ef3cdc62d478bd48f73f75f67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:43.009442Z","signature_b64":"RrPTvdHu80xnkvtN88eJMe9retT7o7HO1Wbnvi8AC3TjmO17yWbjJYrH9Zg2yb/4Ga2jHm8ekcgaIoZ39X+5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d94f00e092c59a41e2d64e91329c2dda6b05c6ef3cdc62d478bd48f73f75f67","last_reissued_at":"2026-05-18T00:04:43.008753Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:43.008753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.09995","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":"2026-05-18T00:04:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wWSVhKpU9RB+5pDLMbyLfI2zp2fEdUdcoz5YSu7+qR5xf9GclxWBjspIg+z802e2a+KtaDWukt06W1YIuaKNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:25:30.169405Z"},"content_sha256":"c5b49c9d8ea4e6733a0b88439104a36d20e87532788b073dcbdf211291bbc354","schema_version":"1.0","event_id":"sha256:c5b49c9d8ea4e6733a0b88439104a36d20e87532788b073dcbdf211291bbc354"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LWKPADQJFRM2IHRNMTURGKOC3W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Normal Inverse Gaussian Approximation for Arrival Time Difference in Flow-Induced Molecular Communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.ET","authors_text":"Dmitry Efrosinin, Weisi Guo, Werner Haselmayr","submitted_at":"2018-09-26T13:45:42Z","abstract_excerpt":"In this paper, we consider molecular communications in one-dimensional flow-induced diffusion channels with a perfectly absorbing receiver. In such channels, the random propagation delay until the molecules are absorbed follows an inverse Gaussian (IG) distribution and is referred to as first hitting time. Knowing the distribution for the difference of the first hitting times of two molecules is very important if the information is encoded by a limited set of molecules and the receiver exploits their arrival time and/or order. Hence, we propose a moment matching approximation by a normal inver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09995","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":"2026-05-18T00:04:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CjdHjuGMS903zlPjEL/C8qofJwSpy2oWeplOsNvxrXcAJbvUmt3PfBgC8bBNGGXjj5ULsNiR9KokHP/xoTEXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:25:30.169752Z"},"content_sha256":"042dbedf6b9d924867f216df09fef42b38518778a801caa59aacfe21c5084917","schema_version":"1.0","event_id":"sha256:042dbedf6b9d924867f216df09fef42b38518778a801caa59aacfe21c5084917"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LWKPADQJFRM2IHRNMTURGKOC3W/bundle.json","state_url":"https://pith.science/pith/LWKPADQJFRM2IHRNMTURGKOC3W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LWKPADQJFRM2IHRNMTURGKOC3W/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":"2026-06-03T14:25:30Z","links":{"resolver":"https://pith.science/pith/LWKPADQJFRM2IHRNMTURGKOC3W","bundle":"https://pith.science/pith/LWKPADQJFRM2IHRNMTURGKOC3W/bundle.json","state":"https://pith.science/pith/LWKPADQJFRM2IHRNMTURGKOC3W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LWKPADQJFRM2IHRNMTURGKOC3W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LWKPADQJFRM2IHRNMTURGKOC3W","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":"0bcd0eb6481f2a4a6bd3cd56c44208de5ee0fe8a2c10f6fd1cedbb24df10b016","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.ET","submitted_at":"2018-09-26T13:45:42Z","title_canon_sha256":"1b88f966d2528e9bc550e765428f618ceee73e6ecef1522ff8b0b783e38f274f"},"schema_version":"1.0","source":{"id":"1809.09995","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.09995","created_at":"2026-05-18T00:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"1809.09995v1","created_at":"2026-05-18T00:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09995","created_at":"2026-05-18T00:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"LWKPADQJFRM2","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LWKPADQJFRM2IHRN","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LWKPADQJ","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:042dbedf6b9d924867f216df09fef42b38518778a801caa59aacfe21c5084917","target":"graph","created_at":"2026-05-18T00:04:43Z","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 consider molecular communications in one-dimensional flow-induced diffusion channels with a perfectly absorbing receiver. In such channels, the random propagation delay until the molecules are absorbed follows an inverse Gaussian (IG) distribution and is referred to as first hitting time. Knowing the distribution for the difference of the first hitting times of two molecules is very important if the information is encoded by a limited set of molecules and the receiver exploits their arrival time and/or order. Hence, we propose a moment matching approximation by a normal inver","authors_text":"Dmitry Efrosinin, Weisi Guo, Werner Haselmayr","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.ET","submitted_at":"2018-09-26T13:45:42Z","title":"Normal Inverse Gaussian Approximation for Arrival Time Difference in Flow-Induced Molecular Communications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09995","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:c5b49c9d8ea4e6733a0b88439104a36d20e87532788b073dcbdf211291bbc354","target":"record","created_at":"2026-05-18T00:04:43Z","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":"0bcd0eb6481f2a4a6bd3cd56c44208de5ee0fe8a2c10f6fd1cedbb24df10b016","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.ET","submitted_at":"2018-09-26T13:45:42Z","title_canon_sha256":"1b88f966d2528e9bc550e765428f618ceee73e6ecef1522ff8b0b783e38f274f"},"schema_version":"1.0","source":{"id":"1809.09995","kind":"arxiv","version":1}},"canonical_sha256":"5d94f00e092c59a41e2d64e91329c2dda6b05c6ef3cdc62d478bd48f73f75f67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d94f00e092c59a41e2d64e91329c2dda6b05c6ef3cdc62d478bd48f73f75f67","first_computed_at":"2026-05-18T00:04:43.008753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:43.008753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RrPTvdHu80xnkvtN88eJMe9retT7o7HO1Wbnvi8AC3TjmO17yWbjJYrH9Zg2yb/4Ga2jHm8ekcgaIoZ39X+5Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:43.009442Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.09995","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5b49c9d8ea4e6733a0b88439104a36d20e87532788b073dcbdf211291bbc354","sha256:042dbedf6b9d924867f216df09fef42b38518778a801caa59aacfe21c5084917"],"state_sha256":"2837725c1abc845b64a9c089d7e1230fa99fae442b4e50ee0df7a9bd43fee642"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GMJR0Ir5FqIixGZRcehpt0jhoOx/oHNb6tj1NPkJoErsnKIiv38vJOnK3gWc/rR/swG78Ifd4lIJ9VE2AkoiAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:25:30.171701Z","bundle_sha256":"5245f814dd1c9de56293889be338fee1294daf167450b038cd872511b37ee790"}}