{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:D6CGOTLAZWG3ZPGL6ONRSSROLJ","short_pith_number":"pith:D6CGOTLA","canonical_record":{"source":{"id":"1111.3193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-14T12:43:29Z","cross_cats_sorted":[],"title_canon_sha256":"cf8289fc63b44ce591671a6f6ee129d463d497a10eb0f1ca919f7024951eac75","abstract_canon_sha256":"a979ea5a56013fa30583c7e0b16eb84fa9cf9e25887f8e34781d36baceb05fe4"},"schema_version":"1.0"},"canonical_sha256":"1f84674d60cd8dbcbccbf39b194a2e5a4ca3f5c764b34d0044ebedaec0201648","source":{"kind":"arxiv","id":"1111.3193","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3193","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3193v1","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3193","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"D6CGOTLAZWG3","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"D6CGOTLAZWG3ZPGL","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"D6CGOTLA","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:D6CGOTLAZWG3ZPGL6ONRSSROLJ","target":"record","payload":{"canonical_record":{"source":{"id":"1111.3193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-14T12:43:29Z","cross_cats_sorted":[],"title_canon_sha256":"cf8289fc63b44ce591671a6f6ee129d463d497a10eb0f1ca919f7024951eac75","abstract_canon_sha256":"a979ea5a56013fa30583c7e0b16eb84fa9cf9e25887f8e34781d36baceb05fe4"},"schema_version":"1.0"},"canonical_sha256":"1f84674d60cd8dbcbccbf39b194a2e5a4ca3f5c764b34d0044ebedaec0201648","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:39.213132Z","signature_b64":"1LNdxO2rvNfTMp2mCsFlHM/3IB6/kUNByS6EWH5BUZQGvZTe/MI9kQ0DZa8tfCOLhmms2cpYYpnylgOXxA8hBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f84674d60cd8dbcbccbf39b194a2e5a4ca3f5c764b34d0044ebedaec0201648","last_reissued_at":"2026-05-18T01:59:39.212477Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:39.212477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.3193","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":"2026-05-18T01:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A68pIMUuD9uNa+JxDZsHCUL7BJTuIjPQ+EpqVsqZpGG8UR7Lm74t2Ecga2yqGY6SHqxQJzefmy2SBQzYflX2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:33:51.254982Z"},"content_sha256":"45555bcc29b33a68103da83ea46696fa713f299038de8d7830ac91ae4069eb6e","schema_version":"1.0","event_id":"sha256:45555bcc29b33a68103da83ea46696fa713f299038de8d7830ac91ae4069eb6e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:D6CGOTLAZWG3ZPGL6ONRSSROLJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optical surface modes in the presence of nonlinearity and disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"G. P. Tsironis, M. I. Molina, N. Lazarides","submitted_at":"2011-11-14T12:43:29Z","abstract_excerpt":"We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson - nonlinear Schr\\\"odinger equation, the propagation of the mode amplitudes up to some finite distance is monitored. The analysis is based on the calculated localization length and the participation number, two standard measures for the statistical description of Anderson localization. For relatively weak disorder and nonlinearity, a higher disorder strength is required to achi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3193","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":"2026-05-18T01:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SYH/ndhRjepZLKkuy2zdlspP9AoDNvIzDLNPvXU2k9Zwh7Jy1S/ewbUnq/ohKaGYCf1XpmySMXKFgl60j+XIBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:33:51.255342Z"},"content_sha256":"cfb8d93fbf9a08ffb99989a69bfc2ed76bc7b28dba263f51f0eabcdb1dabbc06","schema_version":"1.0","event_id":"sha256:cfb8d93fbf9a08ffb99989a69bfc2ed76bc7b28dba263f51f0eabcdb1dabbc06"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6CGOTLAZWG3ZPGL6ONRSSROLJ/bundle.json","state_url":"https://pith.science/pith/D6CGOTLAZWG3ZPGL6ONRSSROLJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6CGOTLAZWG3ZPGL6ONRSSROLJ/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":"2026-06-02T04:33:51Z","links":{"resolver":"https://pith.science/pith/D6CGOTLAZWG3ZPGL6ONRSSROLJ","bundle":"https://pith.science/pith/D6CGOTLAZWG3ZPGL6ONRSSROLJ/bundle.json","state":"https://pith.science/pith/D6CGOTLAZWG3ZPGL6ONRSSROLJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6CGOTLAZWG3ZPGL6ONRSSROLJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:D6CGOTLAZWG3ZPGL6ONRSSROLJ","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":"a979ea5a56013fa30583c7e0b16eb84fa9cf9e25887f8e34781d36baceb05fe4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-14T12:43:29Z","title_canon_sha256":"cf8289fc63b44ce591671a6f6ee129d463d497a10eb0f1ca919f7024951eac75"},"schema_version":"1.0","source":{"id":"1111.3193","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3193","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3193v1","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3193","created_at":"2026-05-18T01:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"D6CGOTLAZWG3","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"D6CGOTLAZWG3ZPGL","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"D6CGOTLA","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:cfb8d93fbf9a08ffb99989a69bfc2ed76bc7b28dba263f51f0eabcdb1dabbc06","target":"graph","created_at":"2026-05-18T01:59:39Z","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 numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson - nonlinear Schr\\\"odinger equation, the propagation of the mode amplitudes up to some finite distance is monitored. The analysis is based on the calculated localization length and the participation number, two standard measures for the statistical description of Anderson localization. For relatively weak disorder and nonlinearity, a higher disorder strength is required to achi","authors_text":"G. P. Tsironis, M. I. Molina, N. Lazarides","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-14T12:43:29Z","title":"Optical surface modes in the presence of nonlinearity and disorder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3193","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":"sha256:45555bcc29b33a68103da83ea46696fa713f299038de8d7830ac91ae4069eb6e","target":"record","created_at":"2026-05-18T01:59:39Z","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":"a979ea5a56013fa30583c7e0b16eb84fa9cf9e25887f8e34781d36baceb05fe4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-14T12:43:29Z","title_canon_sha256":"cf8289fc63b44ce591671a6f6ee129d463d497a10eb0f1ca919f7024951eac75"},"schema_version":"1.0","source":{"id":"1111.3193","kind":"arxiv","version":1}},"canonical_sha256":"1f84674d60cd8dbcbccbf39b194a2e5a4ca3f5c764b34d0044ebedaec0201648","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f84674d60cd8dbcbccbf39b194a2e5a4ca3f5c764b34d0044ebedaec0201648","first_computed_at":"2026-05-18T01:59:39.212477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:39.212477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1LNdxO2rvNfTMp2mCsFlHM/3IB6/kUNByS6EWH5BUZQGvZTe/MI9kQ0DZa8tfCOLhmms2cpYYpnylgOXxA8hBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:39.213132Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3193","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45555bcc29b33a68103da83ea46696fa713f299038de8d7830ac91ae4069eb6e","sha256:cfb8d93fbf9a08ffb99989a69bfc2ed76bc7b28dba263f51f0eabcdb1dabbc06"],"state_sha256":"141c8d7a64282032bf170694ad274d10802f541cced8db8d15ae41488224e41e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1eRvVBAPJDECkpKjjYDgtbVnJnn3QuBBKv28fHOfkMrTaSuRmj7cElRYVje+Y4yvfwJvRf1msdXQV/Vz2DUvDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:33:51.257257Z","bundle_sha256":"01e3df99e6bd1455a90c6b0465341e6e4e059e2178370ab9a131866c6024b327"}}