{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:2I5PYGJDV5GMUCRQ6YBN3LGYTI","short_pith_number":"pith:2I5PYGJD","canonical_record":{"source":{"id":"quant-ph/0103169","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2001-03-30T15:41:29Z","cross_cats_sorted":[],"title_canon_sha256":"13b3a159aa70b2a0f2494f1425a1a475b75409f88d31e00600eea4d245ba7b5d","abstract_canon_sha256":"dc4c08ea343a5bd3f80c0add47332d74d69f2cd7a2a607f2eb69a079d4975c3f"},"schema_version":"1.0"},"canonical_sha256":"d23afc1923af4cca0a30f602ddacd89a14c01d9d34a77385c7c11650009acc61","source":{"kind":"arxiv","id":"quant-ph/0103169","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0103169","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0103169v1","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0103169","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"2I5PYGJDV5GM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2I5PYGJDV5GMUCRQ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2I5PYGJD","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:2I5PYGJDV5GMUCRQ6YBN3LGYTI","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0103169","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2001-03-30T15:41:29Z","cross_cats_sorted":[],"title_canon_sha256":"13b3a159aa70b2a0f2494f1425a1a475b75409f88d31e00600eea4d245ba7b5d","abstract_canon_sha256":"dc4c08ea343a5bd3f80c0add47332d74d69f2cd7a2a607f2eb69a079d4975c3f"},"schema_version":"1.0"},"canonical_sha256":"d23afc1923af4cca0a30f602ddacd89a14c01d9d34a77385c7c11650009acc61","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:02.773360Z","signature_b64":"QJsQc31RgyXYXXDiqtP6yGOjgooBKXgUYQy+QtOJfQlif03Dtr7OnOWby3OauTE5VYn//36pOCKm30MWSfDWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d23afc1923af4cca0a30f602ddacd89a14c01d9d34a77385c7c11650009acc61","last_reissued_at":"2026-05-18T01:38:02.772865Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:02.772865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0103169","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":"2026-05-18T01:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o55a5m/lMvnLpNwyrS/ZX3U92shMyhIsSWrYvNZcW7impt1YyiQFfbSDFQqd4f0GPvNIKX918xdno8/uXFIABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T10:40:33.354337Z"},"content_sha256":"8d545a4328ae610ff217d3f81425cbdc57cef6b1c0e9bfbf2cccb79b8f648aa9","schema_version":"1.0","event_id":"sha256:8d545a4328ae610ff217d3f81425cbdc57cef6b1c0e9bfbf2cccb79b8f648aa9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:2I5PYGJDV5GMUCRQ6YBN3LGYTI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localization and diffusion in Ising-type quantum networks","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"I. Jex, P. Torma, W.P. Schleich","submitted_at":"2001-03-30T15:41:29Z","abstract_excerpt":"We investigate the effect of phase randomness in Ising-type quantum networks. These networks model a large class of physical systems. They describe micro- and nanostructures or arrays of optical elements such as beam splitters (interferometers) or parameteric amplifiers. Most of these stuctures are promising candidates for quantum information processing networks. We demonstrate that such systems exhibit two very distinct types of behaviour. For certain network configurations (parameters), they show quantum localization similar to Anderson localization whereas classical stochastic behaviour is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0103169","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":""},"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":"2026-05-18T01:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r3WwEB0vbeR6/GU3kfNBGCoLF4JjIX6s1KTp/FPzLvyZP7KLp+xKcJa1digjsqCXQAxetE9qc+ANhj1T8/jMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T10:40:33.354678Z"},"content_sha256":"b45fa1491e5afa238f6f4281545e1e9d04df4ef9f47434bcae9d1ed9b80c7832","schema_version":"1.0","event_id":"sha256:b45fa1491e5afa238f6f4281545e1e9d04df4ef9f47434bcae9d1ed9b80c7832"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2I5PYGJDV5GMUCRQ6YBN3LGYTI/bundle.json","state_url":"https://pith.science/pith/2I5PYGJDV5GMUCRQ6YBN3LGYTI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2I5PYGJDV5GMUCRQ6YBN3LGYTI/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":"2026-06-20T10:40:33Z","links":{"resolver":"https://pith.science/pith/2I5PYGJDV5GMUCRQ6YBN3LGYTI","bundle":"https://pith.science/pith/2I5PYGJDV5GMUCRQ6YBN3LGYTI/bundle.json","state":"https://pith.science/pith/2I5PYGJDV5GMUCRQ6YBN3LGYTI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2I5PYGJDV5GMUCRQ6YBN3LGYTI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:2I5PYGJDV5GMUCRQ6YBN3LGYTI","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":"dc4c08ea343a5bd3f80c0add47332d74d69f2cd7a2a607f2eb69a079d4975c3f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2001-03-30T15:41:29Z","title_canon_sha256":"13b3a159aa70b2a0f2494f1425a1a475b75409f88d31e00600eea4d245ba7b5d"},"schema_version":"1.0","source":{"id":"quant-ph/0103169","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0103169","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0103169v1","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0103169","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"2I5PYGJDV5GM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2I5PYGJDV5GMUCRQ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2I5PYGJD","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:b45fa1491e5afa238f6f4281545e1e9d04df4ef9f47434bcae9d1ed9b80c7832","target":"graph","created_at":"2026-05-18T01:38:02Z","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 investigate the effect of phase randomness in Ising-type quantum networks. These networks model a large class of physical systems. They describe micro- and nanostructures or arrays of optical elements such as beam splitters (interferometers) or parameteric amplifiers. Most of these stuctures are promising candidates for quantum information processing networks. We demonstrate that such systems exhibit two very distinct types of behaviour. For certain network configurations (parameters), they show quantum localization similar to Anderson localization whereas classical stochastic behaviour is ","authors_text":"I. Jex, P. Torma, W.P. Schleich","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2001-03-30T15:41:29Z","title":"Localization and diffusion in Ising-type quantum networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0103169","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":"sha256:8d545a4328ae610ff217d3f81425cbdc57cef6b1c0e9bfbf2cccb79b8f648aa9","target":"record","created_at":"2026-05-18T01:38:02Z","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":"dc4c08ea343a5bd3f80c0add47332d74d69f2cd7a2a607f2eb69a079d4975c3f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2001-03-30T15:41:29Z","title_canon_sha256":"13b3a159aa70b2a0f2494f1425a1a475b75409f88d31e00600eea4d245ba7b5d"},"schema_version":"1.0","source":{"id":"quant-ph/0103169","kind":"arxiv","version":1}},"canonical_sha256":"d23afc1923af4cca0a30f602ddacd89a14c01d9d34a77385c7c11650009acc61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d23afc1923af4cca0a30f602ddacd89a14c01d9d34a77385c7c11650009acc61","first_computed_at":"2026-05-18T01:38:02.772865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:02.772865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QJsQc31RgyXYXXDiqtP6yGOjgooBKXgUYQy+QtOJfQlif03Dtr7OnOWby3OauTE5VYn//36pOCKm30MWSfDWBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:02.773360Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0103169","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d545a4328ae610ff217d3f81425cbdc57cef6b1c0e9bfbf2cccb79b8f648aa9","sha256:b45fa1491e5afa238f6f4281545e1e9d04df4ef9f47434bcae9d1ed9b80c7832"],"state_sha256":"e41b68dc2f73a94c072ba324799ac15b70a76448d777448dfef5a180b164f638"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/KkY96KrriMI+Avf9S4FGc005E990IHs8DSfpa1uZdXKOIB/NvWGHA2tZzfoRsX1fGzz7+dfaiSN6Ckc0rQlAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T10:40:33.356601Z","bundle_sha256":"71f3857d25fc76cb730faa3abe5cbf41898002d0b91dfb35e7165ca3b7f4cf86"}}