{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:AACEOW6PSQZY6SWASANUXOWLXT","short_pith_number":"pith:AACEOW6P","canonical_record":{"source":{"id":"2408.00567","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-08-01T13:57:42Z","cross_cats_sorted":[],"title_canon_sha256":"782c80747f741c5cf991e530a4e1d893c52803c1e488846da99a58cf2cb44bda","abstract_canon_sha256":"bf3197d4bff63b173a9ee687b05f45c92996b2f565a707a1b162e13ede116f20"},"schema_version":"1.0"},"canonical_sha256":"0004475bcf94338f4ac0901b4bbacbbcc1ad13ab4461c77298853ece28c36dcb","source":{"kind":"arxiv","id":"2408.00567","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.00567","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"2408.00567v2","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.00567","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"AACEOW6PSQZY","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"pith_short_16","alias_value":"AACEOW6PSQZY6SWA","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"pith_short_8","alias_value":"AACEOW6P","created_at":"2026-07-05T10:02:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:AACEOW6PSQZY6SWASANUXOWLXT","target":"record","payload":{"canonical_record":{"source":{"id":"2408.00567","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-08-01T13:57:42Z","cross_cats_sorted":[],"title_canon_sha256":"782c80747f741c5cf991e530a4e1d893c52803c1e488846da99a58cf2cb44bda","abstract_canon_sha256":"bf3197d4bff63b173a9ee687b05f45c92996b2f565a707a1b162e13ede116f20"},"schema_version":"1.0"},"canonical_sha256":"0004475bcf94338f4ac0901b4bbacbbcc1ad13ab4461c77298853ece28c36dcb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:02:49.400779Z","signature_b64":"Bzk378fsJxi/VDM1e4410aIF2dejp3OZhESdVA/bdUepYBHjJwSJN1vDQnrz3dLIevG+3xmPKu358+labj+JAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0004475bcf94338f4ac0901b4bbacbbcc1ad13ab4461c77298853ece28c36dcb","last_reissued_at":"2026-07-05T10:02:49.400262Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:02:49.400262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.00567","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":"2026-07-05T10:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mg1jzWSqUgXIcu7mYoNZIy9WT9sGFlHB8IhkaDToyxMBHxFJ0a7Y68kcHm/pNsHYuVuqf4KM4+0SYiRXTdt7CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T15:49:05.035969Z"},"content_sha256":"5f176bc73e84a3b838fa7e8304c69679038650e4aee768ae882114bcb5494e8d","schema_version":"1.0","event_id":"sha256:5f176bc73e84a3b838fa7e8304c69679038650e4aee768ae882114bcb5494e8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:AACEOW6PSQZY6SWASANUXOWLXT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Outliers and bounded rank perturbation for non-Hermitian random band matrices","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yi Han","submitted_at":"2024-08-01T13:57:42Z","abstract_excerpt":"In this work we consider general non-Hermitian square random matrices $X$ that include a wide class of random band matrices with independent entries. Whereas the existence of limiting density is largely unknown for these inhomogeneous models, we show that spectral outliers can be determined under very general conditions when perturbed by a finite rank deterministic matrix. More precisely, we show that whenever $\\mathbb{E}[X]=0,\\mathbb{E}[XX^*]=\\mathbb{E}[X^*X]=\\mathbf{1}$ and $\\mathbb{E}[X^2]=\\rho\\mathbf{1}$, and under mild conditions on sparsity and entry moments of $X$, then with high possib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.00567","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/2408.00567/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":"2026-07-05T10:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yLYImPU1ThQJvD80/7oI9dp6JmxmGTQHU1SAki68fBoOszOBROxXIKEvhw1zEWfaPJoA/HRX9YZD7LLVuGYCBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T15:49:05.036578Z"},"content_sha256":"38d540351c9de364bc0185a3d6f57ef3cc5b6a25390cd66e7197a0427e9baff1","schema_version":"1.0","event_id":"sha256:38d540351c9de364bc0185a3d6f57ef3cc5b6a25390cd66e7197a0427e9baff1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AACEOW6PSQZY6SWASANUXOWLXT/bundle.json","state_url":"https://pith.science/pith/AACEOW6PSQZY6SWASANUXOWLXT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AACEOW6PSQZY6SWASANUXOWLXT/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":"2026-08-15T15:49:05Z","links":{"resolver":"https://pith.science/pith/AACEOW6PSQZY6SWASANUXOWLXT","bundle":"https://pith.science/pith/AACEOW6PSQZY6SWASANUXOWLXT/bundle.json","state":"https://pith.science/pith/AACEOW6PSQZY6SWASANUXOWLXT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AACEOW6PSQZY6SWASANUXOWLXT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AACEOW6PSQZY6SWASANUXOWLXT","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":"bf3197d4bff63b173a9ee687b05f45c92996b2f565a707a1b162e13ede116f20","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-08-01T13:57:42Z","title_canon_sha256":"782c80747f741c5cf991e530a4e1d893c52803c1e488846da99a58cf2cb44bda"},"schema_version":"1.0","source":{"id":"2408.00567","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.00567","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"2408.00567v2","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.00567","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"AACEOW6PSQZY","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"pith_short_16","alias_value":"AACEOW6PSQZY6SWA","created_at":"2026-07-05T10:02:49Z"},{"alias_kind":"pith_short_8","alias_value":"AACEOW6P","created_at":"2026-07-05T10:02:49Z"}],"graph_snapshots":[{"event_id":"sha256:38d540351c9de364bc0185a3d6f57ef3cc5b6a25390cd66e7197a0427e9baff1","target":"graph","created_at":"2026-07-05T10:02:49Z","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/2408.00567/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we consider general non-Hermitian square random matrices $X$ that include a wide class of random band matrices with independent entries. Whereas the existence of limiting density is largely unknown for these inhomogeneous models, we show that spectral outliers can be determined under very general conditions when perturbed by a finite rank deterministic matrix. More precisely, we show that whenever $\\mathbb{E}[X]=0,\\mathbb{E}[XX^*]=\\mathbb{E}[X^*X]=\\mathbf{1}$ and $\\mathbb{E}[X^2]=\\rho\\mathbf{1}$, and under mild conditions on sparsity and entry moments of $X$, then with high possib","authors_text":"Yi Han","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-08-01T13:57:42Z","title":"Outliers and bounded rank perturbation for non-Hermitian random band matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.00567","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":"sha256:5f176bc73e84a3b838fa7e8304c69679038650e4aee768ae882114bcb5494e8d","target":"record","created_at":"2026-07-05T10:02:49Z","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":"bf3197d4bff63b173a9ee687b05f45c92996b2f565a707a1b162e13ede116f20","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-08-01T13:57:42Z","title_canon_sha256":"782c80747f741c5cf991e530a4e1d893c52803c1e488846da99a58cf2cb44bda"},"schema_version":"1.0","source":{"id":"2408.00567","kind":"arxiv","version":2}},"canonical_sha256":"0004475bcf94338f4ac0901b4bbacbbcc1ad13ab4461c77298853ece28c36dcb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0004475bcf94338f4ac0901b4bbacbbcc1ad13ab4461c77298853ece28c36dcb","first_computed_at":"2026-07-05T10:02:49.400262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:02:49.400262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bzk378fsJxi/VDM1e4410aIF2dejp3OZhESdVA/bdUepYBHjJwSJN1vDQnrz3dLIevG+3xmPKu358+labj+JAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:02:49.400779Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.00567","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f176bc73e84a3b838fa7e8304c69679038650e4aee768ae882114bcb5494e8d","sha256:38d540351c9de364bc0185a3d6f57ef3cc5b6a25390cd66e7197a0427e9baff1"],"state_sha256":"f5250369e3e95011bddbff5d1320cca946a33c7abc2a4ed9e1eaac0c046726c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZYeo79cjlEfBYEWkysc3XIOdvCtIfqjqrXoHRtuHzye34LgE+39saG56wdKbTRJqpInxKcmHXn9ijkZuwuLdAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T15:49:05.040600Z","bundle_sha256":"e1ab62036e46cba7d67489a5a8bdbabd6c47a84736f0e688a1f6f1990d60e5e0"}}