{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:55XJMIIFT6X2FK2CDQYVKX4N27","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":"0204949f01234fc26ff153928249d8da191d512ef1afe9863d6cf2ca29eec423","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"1998-10-13T16:13:10Z","title_canon_sha256":"a93714b1bfefb1dd5642eb30dac059cf784c420a6b75976b698a43d97c6402f0"},"schema_version":"1.0","source":{"id":"cond-mat/9810148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9810148","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9810148v1","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9810148","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"pith_short_12","alias_value":"55XJMIIFT6X2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"55XJMIIFT6X2FK2C","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"55XJMIIF","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:077fa0cd37c60af5993614917ca273755d3da2c532c4b8deb19ea9a7a3ba2b37","target":"graph","created_at":"2026-05-18T00:34:17Z","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":"Networks of random quantum scatterers (S-matrices) form paradigmatic models for the propagation of coherent waves in random S-matrix network models cover universal localization-delocalization properties and have some advantages over more traditional Hamiltonian models. In particular, a straightforward implementation of real space renormalization techniques is possible. Starting from a finite elementary cell of the S-matrix network, hierarchical network models can be constructed by recursion. The localization-delocalization properties are contained in the flow of the forward scattering strength","authors_text":"Andreas Weymer (University of Cologne), Martin Janssen, Rainer Merkt","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"1998-10-13T16:13:10Z","title":"S-matrix network models for coherent waves in random media: construction and renormalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9810148","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":"sha256:615ebec1bf214471f00049fbd3f49f8b11db79d4758034cd9ed5ff1ff5b4484a","target":"record","created_at":"2026-05-18T00:34:17Z","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":"0204949f01234fc26ff153928249d8da191d512ef1afe9863d6cf2ca29eec423","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"1998-10-13T16:13:10Z","title_canon_sha256":"a93714b1bfefb1dd5642eb30dac059cf784c420a6b75976b698a43d97c6402f0"},"schema_version":"1.0","source":{"id":"cond-mat/9810148","kind":"arxiv","version":1}},"canonical_sha256":"ef6e9621059fafa2ab421c31555f8dd7f0e304d92bc3ac2d7dbed6313bce540e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef6e9621059fafa2ab421c31555f8dd7f0e304d92bc3ac2d7dbed6313bce540e","first_computed_at":"2026-05-18T00:34:17.060552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:17.060552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8BDD2m4bJqMC4Z9LHZ5TirMINGlXjvb2nbLZClRbHEvuQaKzorr6KYTjwkq1LtX81a3FoT+kzuy0Jt+minnPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:17.061211Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9810148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:615ebec1bf214471f00049fbd3f49f8b11db79d4758034cd9ed5ff1ff5b4484a","sha256:077fa0cd37c60af5993614917ca273755d3da2c532c4b8deb19ea9a7a3ba2b37"],"state_sha256":"924b95394f252023a9730fb8b56c7d83ff05283be024af232bd469a95366ce0f"}