{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AH6LNCJA7W4FBPDPOUIMLO7CGA","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":"a6924f3040c9ae0285f68cad63da00d1ca5188ef6a2f64b0e792f7f7c026cc5a","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-11T17:49:06Z","title_canon_sha256":"ecdd2801b17deee781bef3783a41a4674e19136029b51793e6ec0f13bb0c543b"},"schema_version":"1.0","source":{"id":"1503.03432","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03432","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03432v2","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03432","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"AH6LNCJA7W4F","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AH6LNCJA7W4FBPDP","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AH6LNCJA","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:892b955ed8074f8c33c0b47226b41b7f19698c59b95f646783f45adc7ea41a68","target":"graph","created_at":"2026-05-18T02:18:51Z","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":"We consider the distribution of the transmission coefficients, i.e. the singular values of the modal transmission matrix, for 2D random media with periodic boundary conditions composed of a large number of point-like non-absorbing scatterers. The scatterers are placed at random locations in the medium and have random refractive indices that are drawn from an arbitrary, known distribution. We construct a randomized model for the scattering matrix that retains scatterer dependent properties essential to reproduce the transmission coefficient distribution and analytically characterize the distrib","authors_text":"Curtis Jin, Eric Michielssen, Raj Rao Nadakuditi","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-11T17:49:06Z","title":"The transmission coefficient distribution of highly scattering sparse random media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03432","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":"sha256:4a8431cd384255085b171c9946a1629a6033bc7c496b53f371f036f22e679c2c","target":"record","created_at":"2026-05-18T02:18:51Z","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":"a6924f3040c9ae0285f68cad63da00d1ca5188ef6a2f64b0e792f7f7c026cc5a","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-11T17:49:06Z","title_canon_sha256":"ecdd2801b17deee781bef3783a41a4674e19136029b51793e6ec0f13bb0c543b"},"schema_version":"1.0","source":{"id":"1503.03432","kind":"arxiv","version":2}},"canonical_sha256":"01fcb68920fdb850bc6f7510c5bbe2300328c76141ecdc77d7c974e2760c4745","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01fcb68920fdb850bc6f7510c5bbe2300328c76141ecdc77d7c974e2760c4745","first_computed_at":"2026-05-18T02:18:51.117285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:51.117285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PR0l6w8MTi49rFyXqjKAA7aNq7BcOPnPuDISktAv1E/agT4vBbyvI3dll/2V/0IC4djJkRdjdcay3uOELRrTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:51.117867Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.03432","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a8431cd384255085b171c9946a1629a6033bc7c496b53f371f036f22e679c2c","sha256:892b955ed8074f8c33c0b47226b41b7f19698c59b95f646783f45adc7ea41a68"],"state_sha256":"71f4179de675ffafc7e17e6bd5141aca02db117c5cb9f132a6259276798a4adb"}