{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:R3PBBCCAQMHFC7W47CFH4IKLDG","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":"94b31346ccd17cdcad620542712707947614780fe368062f972dae4d705cf2b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2022-05-02T00:23:04Z","title_canon_sha256":"ed6b04e6bdabad8d870fdabad727138909cf6fadbe102204e17b55851a19fd3a"},"schema_version":"1.0","source":{"id":"2205.00587","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.00587","created_at":"2026-07-05T04:19:14Z"},{"alias_kind":"arxiv_version","alias_value":"2205.00587v1","created_at":"2026-07-05T04:19:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.00587","created_at":"2026-07-05T04:19:14Z"},{"alias_kind":"pith_short_12","alias_value":"R3PBBCCAQMHF","created_at":"2026-07-05T04:19:14Z"},{"alias_kind":"pith_short_16","alias_value":"R3PBBCCAQMHFC7W4","created_at":"2026-07-05T04:19:14Z"},{"alias_kind":"pith_short_8","alias_value":"R3PBBCCA","created_at":"2026-07-05T04:19:14Z"}],"graph_snapshots":[{"event_id":"sha256:323cc016f979fc56e818f8724c3916e74a4acf2f88b3db4e4e963f6bd998534e","target":"graph","created_at":"2026-07-05T04:19:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2205.00587/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of multiple scattering on Smith microfacets. This problem is equivalent to computing volumetric light transport in a homogeneous slab. Although the symmetry of the slab allows for significant simplification, fully analytic solutions are scarce and not general enough for most applications. Standard Monte Carlo simulation, although general, is expensive and leads to variance that must be dealt with.\n  We present the first unbiased, truly position-free path integral for evaluating the BSDF of a homogeneous slab. We collapse the spatially-1D path integral of previous works ","authors_text":"Benedikt Bitterli, Eugene d'Eon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2022-05-02T00:23:04Z","title":"A Position-Free Path Integral for Homogeneous Slabs and Multiple Scattering on Smith Microfacets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.00587","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:f916315e31a467c451f65358fffdb3762ad4abf33bfa0ce4557a3df0f4602381","target":"record","created_at":"2026-07-05T04:19:14Z","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":"94b31346ccd17cdcad620542712707947614780fe368062f972dae4d705cf2b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2022-05-02T00:23:04Z","title_canon_sha256":"ed6b04e6bdabad8d870fdabad727138909cf6fadbe102204e17b55851a19fd3a"},"schema_version":"1.0","source":{"id":"2205.00587","kind":"arxiv","version":1}},"canonical_sha256":"8ede108840830e517edcf88a7e214b19a76f18ba71b1cd23a1aec45a0e53b611","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ede108840830e517edcf88a7e214b19a76f18ba71b1cd23a1aec45a0e53b611","first_computed_at":"2026-07-05T04:19:14.441984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:19:14.441984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pslND9VubYm74jgZIN7Wjz8vXUvrOfX2dyZhnGeNp2i/GkwSG+cG+vRTINZKOe4gCZ1JoH2st4+3pCMCe9nwBg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:19:14.442362Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.00587","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f916315e31a467c451f65358fffdb3762ad4abf33bfa0ce4557a3df0f4602381","sha256:323cc016f979fc56e818f8724c3916e74a4acf2f88b3db4e4e963f6bd998534e"],"state_sha256":"081d8a1f4a4d5e55026c8598dcf143b398796a4a526addbae85906ee770a3906"}