{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OS5TGD53QWQAX2FXQJ5YXOO56A","short_pith_number":"pith:OS5TGD53","canonical_record":{"source":{"id":"1707.04779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-15T19:34:47Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"11cdd90cbc74b37263753fd34b9b6cbee4e8630104851370e100acbfaccc901d","abstract_canon_sha256":"a7f31d01ded88383adc52bb6f2266703c8b94619a81f25e26ced4762d562fbdb"},"schema_version":"1.0"},"canonical_sha256":"74bb330fbb85a00be8b7827b8bb9ddf00e9cc1fb00e59d213488fae91fe562e9","source":{"kind":"arxiv","id":"1707.04779","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04779","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04779v1","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04779","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"OS5TGD53QWQA","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OS5TGD53QWQAX2FX","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OS5TGD53","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OS5TGD53QWQAX2FXQJ5YXOO56A","target":"record","payload":{"canonical_record":{"source":{"id":"1707.04779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-15T19:34:47Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"11cdd90cbc74b37263753fd34b9b6cbee4e8630104851370e100acbfaccc901d","abstract_canon_sha256":"a7f31d01ded88383adc52bb6f2266703c8b94619a81f25e26ced4762d562fbdb"},"schema_version":"1.0"},"canonical_sha256":"74bb330fbb85a00be8b7827b8bb9ddf00e9cc1fb00e59d213488fae91fe562e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:12.305324Z","signature_b64":"lY1lYuE/4ZgDifIUyjD77PLkq7pd6/9dgt02nk0RhMFm3C6fZgMDBlTnlhtJ0VgS0YbpfxRKJFSz96av3ZFUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74bb330fbb85a00be8b7827b8bb9ddf00e9cc1fb00e59d213488fae91fe562e9","last_reissued_at":"2026-05-18T00:40:12.304835Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:12.304835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.04779","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":"2026-05-18T00:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Syabkqpvy0tYDg/XioMd6ztIDZ2gV6Jv/5T0Xwy1SNZpxkSuZMBQRtb6LkF+UV42AyXjmdZTMjZcB5Q6GKNgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:51:28.324624Z"},"content_sha256":"27e881d2410bd58f95199fbdfa950c8ee4be3c2240d6446db7062f5df53c9b96","schema_version":"1.0","event_id":"sha256:27e881d2410bd58f95199fbdfa950c8ee4be3c2240d6446db7062f5df53c9b96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OS5TGD53QWQAX2FXQJ5YXOO56A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical approximation of diffusive capture rates by planar and spherical surfaces with absorbing pores","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.AP","authors_text":"Alan E. Lindsay, Andrew J. Bernoff","submitted_at":"2017-07-15T19:34:47Z","abstract_excerpt":"In 1977 Berg & Purcell published a landmark paper entitled \"Physics of Chemoreception\" which examined how a bacterium can sense a chemical attractant in the fluid surrounding it. At small scales the attractant molecules move by Brownian motion and diffusive processes dominate. This example is the archetype of diffusive signaling problems where an agent moves via a random walk until it either strikes or eludes a target. Berg & Purcell modeled the target as a sphere with a set of small circular targets (pores) that can capture a diffusing agent. They argued that, in the limit of small radii and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04779","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":"2026-05-18T00:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/9is+mRPLxs89CHMga54hlGuKXwxIz4mJ3JRPghpMxGWK32geAcudWzAnE+AYDsISJ8yTFd9RbR1fuE434pQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:51:28.324990Z"},"content_sha256":"ab5c5d83bb2670fc874152c37a4af2b28d9e24334afa1d62688327ffb2b9b9b4","schema_version":"1.0","event_id":"sha256:ab5c5d83bb2670fc874152c37a4af2b28d9e24334afa1d62688327ffb2b9b9b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OS5TGD53QWQAX2FXQJ5YXOO56A/bundle.json","state_url":"https://pith.science/pith/OS5TGD53QWQAX2FXQJ5YXOO56A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OS5TGD53QWQAX2FXQJ5YXOO56A/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":"2026-06-03T16:51:28Z","links":{"resolver":"https://pith.science/pith/OS5TGD53QWQAX2FXQJ5YXOO56A","bundle":"https://pith.science/pith/OS5TGD53QWQAX2FXQJ5YXOO56A/bundle.json","state":"https://pith.science/pith/OS5TGD53QWQAX2FXQJ5YXOO56A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OS5TGD53QWQAX2FXQJ5YXOO56A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OS5TGD53QWQAX2FXQJ5YXOO56A","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":"a7f31d01ded88383adc52bb6f2266703c8b94619a81f25e26ced4762d562fbdb","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-15T19:34:47Z","title_canon_sha256":"11cdd90cbc74b37263753fd34b9b6cbee4e8630104851370e100acbfaccc901d"},"schema_version":"1.0","source":{"id":"1707.04779","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04779","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04779v1","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04779","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"OS5TGD53QWQA","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OS5TGD53QWQAX2FX","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OS5TGD53","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:ab5c5d83bb2670fc874152c37a4af2b28d9e24334afa1d62688327ffb2b9b9b4","target":"graph","created_at":"2026-05-18T00:40:12Z","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 1977 Berg & Purcell published a landmark paper entitled \"Physics of Chemoreception\" which examined how a bacterium can sense a chemical attractant in the fluid surrounding it. At small scales the attractant molecules move by Brownian motion and diffusive processes dominate. This example is the archetype of diffusive signaling problems where an agent moves via a random walk until it either strikes or eludes a target. Berg & Purcell modeled the target as a sphere with a set of small circular targets (pores) that can capture a diffusing agent. They argued that, in the limit of small radii and ","authors_text":"Alan E. Lindsay, Andrew J. Bernoff","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-15T19:34:47Z","title":"Numerical approximation of diffusive capture rates by planar and spherical surfaces with absorbing pores"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04779","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":"sha256:27e881d2410bd58f95199fbdfa950c8ee4be3c2240d6446db7062f5df53c9b96","target":"record","created_at":"2026-05-18T00:40:12Z","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":"a7f31d01ded88383adc52bb6f2266703c8b94619a81f25e26ced4762d562fbdb","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-15T19:34:47Z","title_canon_sha256":"11cdd90cbc74b37263753fd34b9b6cbee4e8630104851370e100acbfaccc901d"},"schema_version":"1.0","source":{"id":"1707.04779","kind":"arxiv","version":1}},"canonical_sha256":"74bb330fbb85a00be8b7827b8bb9ddf00e9cc1fb00e59d213488fae91fe562e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74bb330fbb85a00be8b7827b8bb9ddf00e9cc1fb00e59d213488fae91fe562e9","first_computed_at":"2026-05-18T00:40:12.304835Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:12.304835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lY1lYuE/4ZgDifIUyjD77PLkq7pd6/9dgt02nk0RhMFm3C6fZgMDBlTnlhtJ0VgS0YbpfxRKJFSz96av3ZFUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:12.305324Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.04779","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27e881d2410bd58f95199fbdfa950c8ee4be3c2240d6446db7062f5df53c9b96","sha256:ab5c5d83bb2670fc874152c37a4af2b28d9e24334afa1d62688327ffb2b9b9b4"],"state_sha256":"a6a6bb9b96878b9dea1aa52bc5b804bcc1fecad47506de55780caef8498344cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QdmQBjaTq5zpQDr+sm5KWKcFG+R5p+gY+cuOk2f51LtBpIFivMoqAWsNjhgnWiR52jxiRqvs2gtkiaVfpYLwCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:51:28.326997Z","bundle_sha256":"90859f171e86a6f17e6c81e2195b8d834170ed5df676eba34b7a6ded64e6eadf"}}