{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:CC3NRSESJPZW3D3HQAOPC6X3RZ","short_pith_number":"pith:CC3NRSES","canonical_record":{"source":{"id":"2412.20306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-12-29T00:47:24Z","cross_cats_sorted":[],"title_canon_sha256":"bcd6b22877874286430f54c7070ed41e826f78faa2e1e78a9b653f32aec500ad","abstract_canon_sha256":"d950f603719a9272e2d070dec5d56d3a205ab5729c64cf870eaf03ab76d2a093"},"schema_version":"1.0"},"canonical_sha256":"10b6d8c8924bf36d8f67801cf17afb8e4f937aa78aa39235feaf89c2b6e2d90f","source":{"kind":"arxiv","id":"2412.20306","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.20306","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"2412.20306v2","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.20306","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"CC3NRSESJPZW","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_16","alias_value":"CC3NRSESJPZW3D3H","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_8","alias_value":"CC3NRSES","created_at":"2026-07-05T10:54:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:CC3NRSESJPZW3D3HQAOPC6X3RZ","target":"record","payload":{"canonical_record":{"source":{"id":"2412.20306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-12-29T00:47:24Z","cross_cats_sorted":[],"title_canon_sha256":"bcd6b22877874286430f54c7070ed41e826f78faa2e1e78a9b653f32aec500ad","abstract_canon_sha256":"d950f603719a9272e2d070dec5d56d3a205ab5729c64cf870eaf03ab76d2a093"},"schema_version":"1.0"},"canonical_sha256":"10b6d8c8924bf36d8f67801cf17afb8e4f937aa78aa39235feaf89c2b6e2d90f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:54:41.052526Z","signature_b64":"aMUOjp+rR/+gCfkWpB75cxZciWWzqDgE/jnasg1XQU5YS7bOLGyg6LxITa4iId5T137BwHwNML74ROFSfgMxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10b6d8c8924bf36d8f67801cf17afb8e4f937aa78aa39235feaf89c2b6e2d90f","last_reissued_at":"2026-07-05T10:54:41.052020Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:54:41.052020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.20306","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n9nX/VsF49e01g5srfeYE5rCaLGMfmmN70NxZ1FYGSKBucm0l9cChMsBoVsoe/otMxk5VcJ1jSjvb1tYO18NCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:13:26.796177Z"},"content_sha256":"ad8b2b15d6bf7830dcf69512f9bf4eb59fd69a353b0a7c7348f7b9f59540b15e","schema_version":"1.0","event_id":"sha256:ad8b2b15d6bf7830dcf69512f9bf4eb59fd69a353b0a7c7348f7b9f59540b15e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:CC3NRSESJPZW3D3HQAOPC6X3RZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dephasing-induced jumps in non-Hermitian disordered lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Eleftherios N. Economou, Emmanouil T. Kokkinakis, Konstantinos G. Makris","submitted_at":"2024-12-29T00:47:24Z","abstract_excerpt":"Changes in the wavefunction's phase during propagation in a random Hermitian lattice, a process known as dephasing, results in diffusion rather than Anderson localization. However, when non-Hermiticity is introduced, the wave behavior changes drastically. In particular, we demonstrate that in weakly disordered non-Hermitian lattices, dephasing enhances eigenmode localization which results in abrupt jumps between spatially distant regions. These jumps, which are absent under purely coherent conditions, emerge from the interplay between complex disorder and dephasing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.20306","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.20306/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/aX1xlAG1VgLcmUiEzn+JAeuPjGrNrfPLlhoYwrwExlQ92BT3eALPecghF9ppKKLaGYqnKVwkIFpnB3B5Z3kBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:13:26.797046Z"},"content_sha256":"c7f3d2afd3fdedb5e2a2c52d063af9ad851b17c631a995d8f283baf67bcf6a5d","schema_version":"1.0","event_id":"sha256:c7f3d2afd3fdedb5e2a2c52d063af9ad851b17c631a995d8f283baf67bcf6a5d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CC3NRSESJPZW3D3HQAOPC6X3RZ/bundle.json","state_url":"https://pith.science/pith/CC3NRSESJPZW3D3HQAOPC6X3RZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CC3NRSESJPZW3D3HQAOPC6X3RZ/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":"2026-08-12T09:13:26Z","links":{"resolver":"https://pith.science/pith/CC3NRSESJPZW3D3HQAOPC6X3RZ","bundle":"https://pith.science/pith/CC3NRSESJPZW3D3HQAOPC6X3RZ/bundle.json","state":"https://pith.science/pith/CC3NRSESJPZW3D3HQAOPC6X3RZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CC3NRSESJPZW3D3HQAOPC6X3RZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CC3NRSESJPZW3D3HQAOPC6X3RZ","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":"d950f603719a9272e2d070dec5d56d3a205ab5729c64cf870eaf03ab76d2a093","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-12-29T00:47:24Z","title_canon_sha256":"bcd6b22877874286430f54c7070ed41e826f78faa2e1e78a9b653f32aec500ad"},"schema_version":"1.0","source":{"id":"2412.20306","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.20306","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"2412.20306v2","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.20306","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"CC3NRSESJPZW","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_16","alias_value":"CC3NRSESJPZW3D3H","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_8","alias_value":"CC3NRSES","created_at":"2026-07-05T10:54:41Z"}],"graph_snapshots":[{"event_id":"sha256:c7f3d2afd3fdedb5e2a2c52d063af9ad851b17c631a995d8f283baf67bcf6a5d","target":"graph","created_at":"2026-07-05T10:54:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.20306/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Changes in the wavefunction's phase during propagation in a random Hermitian lattice, a process known as dephasing, results in diffusion rather than Anderson localization. However, when non-Hermiticity is introduced, the wave behavior changes drastically. In particular, we demonstrate that in weakly disordered non-Hermitian lattices, dephasing enhances eigenmode localization which results in abrupt jumps between spatially distant regions. These jumps, which are absent under purely coherent conditions, emerge from the interplay between complex disorder and dephasing.","authors_text":"Eleftherios N. Economou, Emmanouil T. Kokkinakis, Konstantinos G. Makris","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-12-29T00:47:24Z","title":"Dephasing-induced jumps in non-Hermitian disordered lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.20306","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:ad8b2b15d6bf7830dcf69512f9bf4eb59fd69a353b0a7c7348f7b9f59540b15e","target":"record","created_at":"2026-07-05T10:54:41Z","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":"d950f603719a9272e2d070dec5d56d3a205ab5729c64cf870eaf03ab76d2a093","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-12-29T00:47:24Z","title_canon_sha256":"bcd6b22877874286430f54c7070ed41e826f78faa2e1e78a9b653f32aec500ad"},"schema_version":"1.0","source":{"id":"2412.20306","kind":"arxiv","version":2}},"canonical_sha256":"10b6d8c8924bf36d8f67801cf17afb8e4f937aa78aa39235feaf89c2b6e2d90f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10b6d8c8924bf36d8f67801cf17afb8e4f937aa78aa39235feaf89c2b6e2d90f","first_computed_at":"2026-07-05T10:54:41.052020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:54:41.052020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aMUOjp+rR/+gCfkWpB75cxZciWWzqDgE/jnasg1XQU5YS7bOLGyg6LxITa4iId5T137BwHwNML74ROFSfgMxBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:54:41.052526Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.20306","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad8b2b15d6bf7830dcf69512f9bf4eb59fd69a353b0a7c7348f7b9f59540b15e","sha256:c7f3d2afd3fdedb5e2a2c52d063af9ad851b17c631a995d8f283baf67bcf6a5d"],"state_sha256":"eb912771837b1e1bec62020f9cd7b57b7ffbe69589c3f0be2d710276e6040b51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NMsa48Lq3NZtwZ3rLOfcgTvBOQ3rBAd9ATNvECDS3cP1/kivsZVcDnNAZyeLvam/or2qXbRp4Pkq1LCgJJi2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T09:13:26.802512Z","bundle_sha256":"a8a33d208b8594d2071d54ac0b5efa751e81a301dd2df049de5bbb82bd53a43b"}}