{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W7IDYVQ5J4ZPWK3UWJW7GRZ5RO","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":"92222715567c6bbb8302a28808a8f5532037a5b70ade4f879899928a9232e169","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-21T09:38:27Z","title_canon_sha256":"533de845ba2a23f1febd7ce5657c3c2ce27f708b0803127273fff3b22d84de96"},"schema_version":"1.0","source":{"id":"1311.5343","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5343","created_at":"2026-05-18T02:40:03Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5343v2","created_at":"2026-05-18T02:40:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5343","created_at":"2026-05-18T02:40:03Z"},{"alias_kind":"pith_short_12","alias_value":"W7IDYVQ5J4ZP","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W7IDYVQ5J4ZPWK3U","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W7IDYVQ5","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:5c76407a23f951c638e757e0c40f4ac35c5c537eb8d4dd44c99e11f09853fcb7","target":"graph","created_at":"2026-05-18T02:40:03Z","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":"Light propagation in turbid media is driven by the equation of radiative transfer. We give a formal probabilistic representation of its solution in the framework of biological tissues and we implement algorithms based on Monte Carlo methods in order to estimate the quantity of light that is received by an homogeneous tissue when emitted by an optic fiber. A variance reduction method is studied and implemented, as well as a Markov chain Monte Carlo method based on the Metropolis-Hastings algorithm. The resulting estimating methods are then compared to the so-called Wang-Prahl (or Wang) method. ","authors_text":"C\\'eline Lacaux, Laura Vinckenbosch, Magalie Thomassin, Samy Tindel, Tiphaine Obara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-21T09:38:27Z","title":"Monte Carlo methods for light propagation in biological tissues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5343","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":"sha256:4b3c996e2da0421212bbfb70d1258a4f9d50323059a2d714a4f91dfb1cb33449","target":"record","created_at":"2026-05-18T02:40:03Z","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":"92222715567c6bbb8302a28808a8f5532037a5b70ade4f879899928a9232e169","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-21T09:38:27Z","title_canon_sha256":"533de845ba2a23f1febd7ce5657c3c2ce27f708b0803127273fff3b22d84de96"},"schema_version":"1.0","source":{"id":"1311.5343","kind":"arxiv","version":2}},"canonical_sha256":"b7d03c561d4f32fb2b74b26df3473d8ba0ee509c0de50c3e7972cd8076fb4b6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7d03c561d4f32fb2b74b26df3473d8ba0ee509c0de50c3e7972cd8076fb4b6f","first_computed_at":"2026-05-18T02:40:03.377879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:03.377879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gik6YPZPENlYSeki/Doy5iq4VplG24Eer4jdwbsjQhdd+DWQAP31L76bk5Yrh3mAmJptEqF51zLA+sUncuOyDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:03.378276Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5343","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b3c996e2da0421212bbfb70d1258a4f9d50323059a2d714a4f91dfb1cb33449","sha256:5c76407a23f951c638e757e0c40f4ac35c5c537eb8d4dd44c99e11f09853fcb7"],"state_sha256":"6fb04558a4c6e9192f78940064e46e25aa2ee060a308d9d8d72920c1d9b7a79a"}