{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IY6UXOABJI3MVZ2ATHSLLQPOOL","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":"2a457ca43a98689f69b8b327324e764f5d94d79746303ce32259a39296e30241","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-13T18:31:01Z","title_canon_sha256":"69963657d1b6af72dd868a36aca908cbc23f31e934d4358b38121035edef4359"},"schema_version":"1.0","source":{"id":"1303.3244","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3244","created_at":"2026-05-18T03:01:33Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3244v1","created_at":"2026-05-18T03:01:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3244","created_at":"2026-05-18T03:01:33Z"},{"alias_kind":"pith_short_12","alias_value":"IY6UXOABJI3M","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IY6UXOABJI3MVZ2A","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IY6UXOAB","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:6901c5522d5d8609ff30ab8e8a037a28f45258cb49825b24961f8e661247d64e","target":"graph","created_at":"2026-05-18T03:01:33Z","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":"Diffusion has been widely used to describe a random walk of particles or waves, and it requires only one parameter -- the diffusion constant. For waves, however, diffusion is an approximation that disregards the possibility of interference. Anderson localization, which manifests itself through a vanishing diffusion coefficient in an infinite system, originates from constructive interference of waves traveling in loop trajectories -- pairs of time-reversed paths returning to the same point. In an open system of finite size, the return probability through such paths is reduced, particularly near","authors_text":"Alexey G. Yamilov, Ben Payne, Brandon Redding, Heeso Noh, Hui Cao, Raktim Sarma","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-13T18:31:01Z","title":"Position-dependent diffusion of light in disordered waveguides"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3244","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:db158bc95c5aae7b74ff7ac5daa5b8dfda0838f73cde4ba14e56e9b5a46eda09","target":"record","created_at":"2026-05-18T03:01:33Z","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":"2a457ca43a98689f69b8b327324e764f5d94d79746303ce32259a39296e30241","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-13T18:31:01Z","title_canon_sha256":"69963657d1b6af72dd868a36aca908cbc23f31e934d4358b38121035edef4359"},"schema_version":"1.0","source":{"id":"1303.3244","kind":"arxiv","version":1}},"canonical_sha256":"463d4bb8014a36cae74099e4b5c1ee72d4fb2a69defffcd95114966675bbc064","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"463d4bb8014a36cae74099e4b5c1ee72d4fb2a69defffcd95114966675bbc064","first_computed_at":"2026-05-18T03:01:33.437005Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:33.437005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1c6b16n89CsY/q2u2DNuS6T3tF7fLO39yqgeRwJLO8QKcYKRdT9GfYLwB5jp79ajlLMcRtRz5cOoAfTpK+SUBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:33.437643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3244","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db158bc95c5aae7b74ff7ac5daa5b8dfda0838f73cde4ba14e56e9b5a46eda09","sha256:6901c5522d5d8609ff30ab8e8a037a28f45258cb49825b24961f8e661247d64e"],"state_sha256":"393bf5b03cf9fd4a6b7da97e6c1e7e7247077a2a270a8d4a837f3091fcc0b9f7"}