{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:URL2NK2LQWCUYHBEQIZ42FJSJX","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":"4e0328107f28081f1958845972d3362e4b7928d75d619c0c92c28b164bc68e2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2018-06-11T10:50:03Z","title_canon_sha256":"53a696572bcd4ce90d4cc45722d6ed778ae406531ad32c5c569981fb65cf10a2"},"schema_version":"1.0","source":{"id":"1806.03898","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.03898","created_at":"2026-05-18T00:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"1806.03898v1","created_at":"2026-05-18T00:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.03898","created_at":"2026-05-18T00:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"URL2NK2LQWCU","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"URL2NK2LQWCUYHBE","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"URL2NK2L","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:d7ca28094f2a94bdb076811fbfd0fd8039ad9d02854e42925a746756be467587","target":"graph","created_at":"2026-05-18T00:09:24Z","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":"The Hapke model has been widely used to describe the photometrical behavior of planetary surface through the Bi-directional Reflectance Distribution Function (BRDF), but the uncertainties about retrieved parameters has been difficult to handle so far. A recent study proposed to estimate the uncertainties using a Bayesian approach (Schmidt et al., Icarus 2015). In the present article, we first propose an improved numerical implementation to speed up the uncertainties estimation. Then, we conduct two synthetic studies about photometric measurements in order to analyze the influence of observatio","authors_text":"Frederic Schmidt, Sebastien Bourguignon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2018-06-11T10:50:03Z","title":"Efficiency of BRDF sampling and bias on the average photometric behavior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.03898","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:d10948153aaa473a8267bbd14a8f899c63a5e593cb742337505f3262bb997e58","target":"record","created_at":"2026-05-18T00:09:24Z","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":"4e0328107f28081f1958845972d3362e4b7928d75d619c0c92c28b164bc68e2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2018-06-11T10:50:03Z","title_canon_sha256":"53a696572bcd4ce90d4cc45722d6ed778ae406531ad32c5c569981fb65cf10a2"},"schema_version":"1.0","source":{"id":"1806.03898","kind":"arxiv","version":1}},"canonical_sha256":"a457a6ab4b85854c1c248233cd15324de6eb7b77162f8cf926544eaf31674caa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a457a6ab4b85854c1c248233cd15324de6eb7b77162f8cf926544eaf31674caa","first_computed_at":"2026-05-18T00:09:24.444546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:24.444546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5jxcVpHC6Up5dCvgGbUKC7X+oHd3zKKlOdqi46EwikaidIunW6ng62o9TBFq/goenWo+sAXPxdafpoDO1Q6OCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:24.445158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.03898","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d10948153aaa473a8267bbd14a8f899c63a5e593cb742337505f3262bb997e58","sha256:d7ca28094f2a94bdb076811fbfd0fd8039ad9d02854e42925a746756be467587"],"state_sha256":"1d90124cd8ccf5b253ce71b32cdbdaf3eab9fb3d6999339902f222e318b65ff5"}