{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:K3FNWGDBJBWEHUL3CTPKABVCIN","short_pith_number":"pith:K3FNWGDB","canonical_record":{"source":{"id":"1708.00765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-31T21:14:15Z","cross_cats_sorted":[],"title_canon_sha256":"e848afb417e10a194fac067da6afe0a98e89719617e7daa273537fa189553b7b","abstract_canon_sha256":"e7f6a45147926ef4f253579858f50a985df31d7d71f36c1763f921c8f56e4d1c"},"schema_version":"1.0"},"canonical_sha256":"56cadb1861486c43d17b14dea006a2434a66559f9daac262aa0f15132e0bf63e","source":{"kind":"arxiv","id":"1708.00765","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.00765","created_at":"2026-05-18T00:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"1708.00765v2","created_at":"2026-05-18T00:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00765","created_at":"2026-05-18T00:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"K3FNWGDBJBWE","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K3FNWGDBJBWEHUL3","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K3FNWGDB","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:K3FNWGDBJBWEHUL3CTPKABVCIN","target":"record","payload":{"canonical_record":{"source":{"id":"1708.00765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-31T21:14:15Z","cross_cats_sorted":[],"title_canon_sha256":"e848afb417e10a194fac067da6afe0a98e89719617e7daa273537fa189553b7b","abstract_canon_sha256":"e7f6a45147926ef4f253579858f50a985df31d7d71f36c1763f921c8f56e4d1c"},"schema_version":"1.0"},"canonical_sha256":"56cadb1861486c43d17b14dea006a2434a66559f9daac262aa0f15132e0bf63e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:13.212035Z","signature_b64":"fkXcNZk+WjK71JfyqGsScCtErPrL4IbpYHN6Fd667uLT84Q5Oy2xsouqe3MtWxEnVLk1yEcoFm86dhP+YEvUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56cadb1861486c43d17b14dea006a2434a66559f9daac262aa0f15132e0bf63e","last_reissued_at":"2026-05-18T00:21:13.211650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:13.211650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.00765","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EF4rAXsoPOoogpfYfMSTExYK8q/4u2MCjEZ0kvgnuSyh0JVOywSbOujachtHPFep1J6WXwlqn6a5oSc3Vt9UAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T00:33:53.688437Z"},"content_sha256":"bddb293f608a69c1da6498d4b6e0c19619a1ce18e7c9138a0b41b91285d0efec","schema_version":"1.0","event_id":"sha256:bddb293f608a69c1da6498d4b6e0c19619a1ce18e7c9138a0b41b91285d0efec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:K3FNWGDBJBWEHUL3CTPKABVCIN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Monte Carlo Chord Length Sampling for $d$-dimensional Markov binary mixtures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Adam Lam, Andrea Zoia, Colline Larmier, Fausto Malvagi, Patrick Brantley, Todd Palmer","submitted_at":"2017-07-31T21:14:15Z","abstract_excerpt":"The Chord Length Sampling (CLS) algorithm is a powerful Monte Carlo method that models the effects of stochastic media on particle transport by generating on-the-fly the material interfaces seen by the random walkers during their trajectories. This annealed disorder approach, which formally consists of solving the approximate Levermore-Pomraning equations for linear particle transport, enables a considerable speed-up with respect to transport in quenched disorder, where ensemble-averaging of the Boltzmann equation with respect to all possible realizations is needed. However, CLS intrinsically "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00765","kind":"arxiv","version":2},"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":"2026-05-18T00:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jcia8MkI2K6ie09gITf2B/RCTm4hixaHNEdkMX4hj9pBDKiLwU4oyOI+MuCSzs68KRO1pZx0lUuGMcpaxsoNDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T00:33:53.688827Z"},"content_sha256":"48a8d52a3be228c9fa7501b2c8ddd252f293fd12a82a7aa27d8594d63aa10c99","schema_version":"1.0","event_id":"sha256:48a8d52a3be228c9fa7501b2c8ddd252f293fd12a82a7aa27d8594d63aa10c99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K3FNWGDBJBWEHUL3CTPKABVCIN/bundle.json","state_url":"https://pith.science/pith/K3FNWGDBJBWEHUL3CTPKABVCIN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K3FNWGDBJBWEHUL3CTPKABVCIN/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":"2026-06-24T00:33:53Z","links":{"resolver":"https://pith.science/pith/K3FNWGDBJBWEHUL3CTPKABVCIN","bundle":"https://pith.science/pith/K3FNWGDBJBWEHUL3CTPKABVCIN/bundle.json","state":"https://pith.science/pith/K3FNWGDBJBWEHUL3CTPKABVCIN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K3FNWGDBJBWEHUL3CTPKABVCIN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:K3FNWGDBJBWEHUL3CTPKABVCIN","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":"e7f6a45147926ef4f253579858f50a985df31d7d71f36c1763f921c8f56e4d1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-31T21:14:15Z","title_canon_sha256":"e848afb417e10a194fac067da6afe0a98e89719617e7daa273537fa189553b7b"},"schema_version":"1.0","source":{"id":"1708.00765","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.00765","created_at":"2026-05-18T00:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"1708.00765v2","created_at":"2026-05-18T00:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00765","created_at":"2026-05-18T00:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"K3FNWGDBJBWE","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K3FNWGDBJBWEHUL3","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K3FNWGDB","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:48a8d52a3be228c9fa7501b2c8ddd252f293fd12a82a7aa27d8594d63aa10c99","target":"graph","created_at":"2026-05-18T00:21:13Z","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 Chord Length Sampling (CLS) algorithm is a powerful Monte Carlo method that models the effects of stochastic media on particle transport by generating on-the-fly the material interfaces seen by the random walkers during their trajectories. This annealed disorder approach, which formally consists of solving the approximate Levermore-Pomraning equations for linear particle transport, enables a considerable speed-up with respect to transport in quenched disorder, where ensemble-averaging of the Boltzmann equation with respect to all possible realizations is needed. However, CLS intrinsically ","authors_text":"Adam Lam, Andrea Zoia, Colline Larmier, Fausto Malvagi, Patrick Brantley, Todd Palmer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-31T21:14:15Z","title":"Monte Carlo Chord Length Sampling for $d$-dimensional Markov binary mixtures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00765","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:bddb293f608a69c1da6498d4b6e0c19619a1ce18e7c9138a0b41b91285d0efec","target":"record","created_at":"2026-05-18T00:21:13Z","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":"e7f6a45147926ef4f253579858f50a985df31d7d71f36c1763f921c8f56e4d1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-31T21:14:15Z","title_canon_sha256":"e848afb417e10a194fac067da6afe0a98e89719617e7daa273537fa189553b7b"},"schema_version":"1.0","source":{"id":"1708.00765","kind":"arxiv","version":2}},"canonical_sha256":"56cadb1861486c43d17b14dea006a2434a66559f9daac262aa0f15132e0bf63e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56cadb1861486c43d17b14dea006a2434a66559f9daac262aa0f15132e0bf63e","first_computed_at":"2026-05-18T00:21:13.211650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:13.211650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fkXcNZk+WjK71JfyqGsScCtErPrL4IbpYHN6Fd667uLT84Q5Oy2xsouqe3MtWxEnVLk1yEcoFm86dhP+YEvUCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:13.212035Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.00765","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bddb293f608a69c1da6498d4b6e0c19619a1ce18e7c9138a0b41b91285d0efec","sha256:48a8d52a3be228c9fa7501b2c8ddd252f293fd12a82a7aa27d8594d63aa10c99"],"state_sha256":"8bee73484511b8d5071b4ce0e73291c58c32ef0ee2e4991886e8ad94cd510d57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R1R5DhwrRMN3V96XowEgLr50zIizjZJgpUwbFyJ+SbzjFUveC7J6pXYSZTDd03yqd+CuutAIjYckThyFfJJICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T00:33:53.690748Z","bundle_sha256":"319e6a5a33cabee098b6369057c505a28d4a20e9fa99f3358f5bd6444093952e"}}