{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:DYPARIUVCIGXHQCDYAHML7GGDN","short_pith_number":"pith:DYPARIUV","canonical_record":{"source":{"id":"2109.14398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2021-09-29T13:01:46Z","cross_cats_sorted":[],"title_canon_sha256":"10289dc57ddd5bb8b221404c4f83c00b11b039f2735bd63128e09059ba9df598","abstract_canon_sha256":"f93433f0c76d6f7260d39e34e8151c3d52ce49fed44a0e7f76346ca379fc0d23"},"schema_version":"1.0"},"canonical_sha256":"1e1e08a295120d73c043c00ec5fcc61b6cca24fcecb3124f1be3837849b8c71d","source":{"kind":"arxiv","id":"2109.14398","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.14398","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"2109.14398v1","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.14398","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"DYPARIUVCIGX","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"pith_short_16","alias_value":"DYPARIUVCIGXHQCD","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"pith_short_8","alias_value":"DYPARIUV","created_at":"2026-07-05T03:18:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:DYPARIUVCIGXHQCDYAHML7GGDN","target":"record","payload":{"canonical_record":{"source":{"id":"2109.14398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2021-09-29T13:01:46Z","cross_cats_sorted":[],"title_canon_sha256":"10289dc57ddd5bb8b221404c4f83c00b11b039f2735bd63128e09059ba9df598","abstract_canon_sha256":"f93433f0c76d6f7260d39e34e8151c3d52ce49fed44a0e7f76346ca379fc0d23"},"schema_version":"1.0"},"canonical_sha256":"1e1e08a295120d73c043c00ec5fcc61b6cca24fcecb3124f1be3837849b8c71d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:18:34.824594Z","signature_b64":"FrElrXvbaN/6TTF+Rw8A6EHMAWIbRR0uYn1AS7jkMoRtDnPl/RdHUEwLKmCDz5KxphGrhNPgVGc2++1CcW4BCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e1e08a295120d73c043c00ec5fcc61b6cca24fcecb3124f1be3837849b8c71d","last_reissued_at":"2026-07-05T03:18:34.824196Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:18:34.824196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.14398","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":"2026-07-05T03:18:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GAQmRwLrOr3fsXXkXJVzG+UFLqrtfNhodcdldiNpLwavhRZsqfnqXIuATpMJmExTpFrC9MmrUIJSDYYA8MP9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T20:28:19.078422Z"},"content_sha256":"ebe8bcf3ce695b1154c0e04296c653c1ae2377b9688682488049b56c4c2cda1e","schema_version":"1.0","event_id":"sha256:ebe8bcf3ce695b1154c0e04296c653c1ae2377b9688682488049b56c4c2cda1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:DYPARIUVCIGXHQCDYAHML7GGDN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Position-free Multiple-bounce Computations for Smith Microfacet BSDFs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GR","authors_text":"Beibei Wang, Jiahui Fan, Jian Yang, Ling-Qi Yan, Nicolas Holzschuch, Wenhua Jin","submitted_at":"2021-09-29T13:01:46Z","abstract_excerpt":"Bidirectional Scattering Distribution Functions (BSDFs) encode how a material reflects or transmits the incoming light. The most commonly used model is the Microfacet BSDF. It computes material response from the micro-geometry of the surface assuming a single bounce on specular microfacets. The original model ignores multiple bounces on the micro-geometry, resulting in energy loss, especially with large roughness. In this paper, we present a position-free formulation of multiple bounces inside the micro-geometry, which eliminates this energy loss. We use an explicit mathematical definition of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.14398","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.14398/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:18:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gcfC0mmryA++bu5/Vm6vw8miSjzZUZvKLpbQoE7iFmW/fYBXgPUjd7fInHvCAGY5z5wj9s6c8mBxDMMF/oSJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T20:28:19.078834Z"},"content_sha256":"18a181ab9f905b328c2cf33b5fdd595d298373b85695382d8add13480a6e7deb","schema_version":"1.0","event_id":"sha256:18a181ab9f905b328c2cf33b5fdd595d298373b85695382d8add13480a6e7deb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DYPARIUVCIGXHQCDYAHML7GGDN/bundle.json","state_url":"https://pith.science/pith/DYPARIUVCIGXHQCDYAHML7GGDN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DYPARIUVCIGXHQCDYAHML7GGDN/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":"2026-07-08T20:28:19Z","links":{"resolver":"https://pith.science/pith/DYPARIUVCIGXHQCDYAHML7GGDN","bundle":"https://pith.science/pith/DYPARIUVCIGXHQCDYAHML7GGDN/bundle.json","state":"https://pith.science/pith/DYPARIUVCIGXHQCDYAHML7GGDN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DYPARIUVCIGXHQCDYAHML7GGDN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:DYPARIUVCIGXHQCDYAHML7GGDN","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":"f93433f0c76d6f7260d39e34e8151c3d52ce49fed44a0e7f76346ca379fc0d23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2021-09-29T13:01:46Z","title_canon_sha256":"10289dc57ddd5bb8b221404c4f83c00b11b039f2735bd63128e09059ba9df598"},"schema_version":"1.0","source":{"id":"2109.14398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.14398","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"2109.14398v1","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.14398","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"DYPARIUVCIGX","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"pith_short_16","alias_value":"DYPARIUVCIGXHQCD","created_at":"2026-07-05T03:18:34Z"},{"alias_kind":"pith_short_8","alias_value":"DYPARIUV","created_at":"2026-07-05T03:18:34Z"}],"graph_snapshots":[{"event_id":"sha256:18a181ab9f905b328c2cf33b5fdd595d298373b85695382d8add13480a6e7deb","target":"graph","created_at":"2026-07-05T03:18:34Z","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/2109.14398/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bidirectional Scattering Distribution Functions (BSDFs) encode how a material reflects or transmits the incoming light. The most commonly used model is the Microfacet BSDF. It computes material response from the micro-geometry of the surface assuming a single bounce on specular microfacets. The original model ignores multiple bounces on the micro-geometry, resulting in energy loss, especially with large roughness. In this paper, we present a position-free formulation of multiple bounces inside the micro-geometry, which eliminates this energy loss. We use an explicit mathematical definition of ","authors_text":"Beibei Wang, Jiahui Fan, Jian Yang, Ling-Qi Yan, Nicolas Holzschuch, Wenhua Jin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2021-09-29T13:01:46Z","title":"Position-free Multiple-bounce Computations for Smith Microfacet BSDFs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.14398","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:ebe8bcf3ce695b1154c0e04296c653c1ae2377b9688682488049b56c4c2cda1e","target":"record","created_at":"2026-07-05T03:18:34Z","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":"f93433f0c76d6f7260d39e34e8151c3d52ce49fed44a0e7f76346ca379fc0d23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2021-09-29T13:01:46Z","title_canon_sha256":"10289dc57ddd5bb8b221404c4f83c00b11b039f2735bd63128e09059ba9df598"},"schema_version":"1.0","source":{"id":"2109.14398","kind":"arxiv","version":1}},"canonical_sha256":"1e1e08a295120d73c043c00ec5fcc61b6cca24fcecb3124f1be3837849b8c71d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e1e08a295120d73c043c00ec5fcc61b6cca24fcecb3124f1be3837849b8c71d","first_computed_at":"2026-07-05T03:18:34.824196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:18:34.824196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FrElrXvbaN/6TTF+Rw8A6EHMAWIbRR0uYn1AS7jkMoRtDnPl/RdHUEwLKmCDz5KxphGrhNPgVGc2++1CcW4BCA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:18:34.824594Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.14398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebe8bcf3ce695b1154c0e04296c653c1ae2377b9688682488049b56c4c2cda1e","sha256:18a181ab9f905b328c2cf33b5fdd595d298373b85695382d8add13480a6e7deb"],"state_sha256":"c7639cf8fed3dbfff6c8446c38b6fca66bf3438503b9d9b9a6f83d7d921c005d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tJ54Hu6XxCWQzzjGOGRK2oVe35DAx5Xk463YGPYMtNA/ssoGkN33xA30XiBGjYSNmdbaXp2LEzxOTeWZQOeBCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T20:28:19.080879Z","bundle_sha256":"d61a91c1bafb787a233036671c7438ca6b816bee3708babcddf245d2e81f0c2d"}}