{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:AQTSDYETOLJUQSTZLR33NUJ2AV","short_pith_number":"pith:AQTSDYET","canonical_record":{"source":{"id":"math-ph/0402057","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2004-02-19T15:33:59Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","math.PR"],"title_canon_sha256":"cafce38ba74f19cdbff942d6e400753c966d8a8c4741b37d0201c247c44063fc","abstract_canon_sha256":"dc342f3ecdb4e2647a3b2c80aa0b509e25000039b6d40bded13407fde2560c3d"},"schema_version":"1.0"},"canonical_sha256":"042721e09372d3484a795c77b6d13a056321175ddf28d4967befe3d62413f1f2","source":{"kind":"arxiv","id":"math-ph/0402057","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0402057","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0402057v1","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0402057","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"pith_short_12","alias_value":"AQTSDYETOLJU","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"pith_short_16","alias_value":"AQTSDYETOLJUQSTZ","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"pith_short_8","alias_value":"AQTSDYET","created_at":"2026-07-04T14:33:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:AQTSDYETOLJUQSTZLR33NUJ2AV","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0402057","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2004-02-19T15:33:59Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","math.PR"],"title_canon_sha256":"cafce38ba74f19cdbff942d6e400753c966d8a8c4741b37d0201c247c44063fc","abstract_canon_sha256":"dc342f3ecdb4e2647a3b2c80aa0b509e25000039b6d40bded13407fde2560c3d"},"schema_version":"1.0"},"canonical_sha256":"042721e09372d3484a795c77b6d13a056321175ddf28d4967befe3d62413f1f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:33:59.654208Z","signature_b64":"MxVhNsq5RSD8D1+MnR4EJBHC8bgD3qdK7aFcoEbbSC4XIQja68T6VJoxrYKgyOSdVOwfeE2/EMyuBmqP7dMfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"042721e09372d3484a795c77b6d13a056321175ddf28d4967befe3d62413f1f2","last_reissued_at":"2026-07-04T14:33:59.653818Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:33:59.653818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0402057","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":"2026-07-04T14:33:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ez3kzfCH81Om7vQWyP17T623IYaouFF/SEd/fYutBe5XX2lCk3+Uq44PBM98y0B0fX6yEQHjWBVit78ysyqnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:13:49.500864Z"},"content_sha256":"fe995d2f6efe72705d24c11e2dd07dfaa830c7b47862b673d7189a794463f985","schema_version":"1.0","event_id":"sha256:fe995d2f6efe72705d24c11e2dd07dfaa830c7b47862b673d7189a794463f985"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:AQTSDYETOLJUQSTZLR33NUJ2AV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Novel Approach to Non-Hermitian Random Matrix Models","license":"","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Andrzej Jarosz, Maciej A. Nowak","submitted_at":"2004-02-19T15:33:59Z","abstract_excerpt":"In this paper we propose a new method for studying spectral properties of the non-hermitian random matrix ensembles. Alike complex Green's function encodes, via discontinuities, the real spectrum of the hermitian ensembles, the proposed here quaternion extension of the Green's function leads directly to complex spectrum in case of non-hermitian ensembles and encodes additionally some spectral properties of the eigenvectors. The standard two-by-two matrix representation of the quaternions leads to generalization of so-called matrix-valued resolvent, proposed recently in the context of diagramma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0402057","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math-ph/0402057/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":"2026-07-04T14:33:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BijlbncuwXrNBG89w4KzM6P46inrnLOGSOT3ETVoGphQFF0D3bvBl6Mhq7tcSKoSmIybJBAXSx30WxoLOhZjDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:13:49.501800Z"},"content_sha256":"10a7ca53977d4e2f1bac5676c2bd51f2851ab800f8fc4355c089f27676d58d8e","schema_version":"1.0","event_id":"sha256:10a7ca53977d4e2f1bac5676c2bd51f2851ab800f8fc4355c089f27676d58d8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AQTSDYETOLJUQSTZLR33NUJ2AV/bundle.json","state_url":"https://pith.science/pith/AQTSDYETOLJUQSTZLR33NUJ2AV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AQTSDYETOLJUQSTZLR33NUJ2AV/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":"2026-08-13T10:13:49Z","links":{"resolver":"https://pith.science/pith/AQTSDYETOLJUQSTZLR33NUJ2AV","bundle":"https://pith.science/pith/AQTSDYETOLJUQSTZLR33NUJ2AV/bundle.json","state":"https://pith.science/pith/AQTSDYETOLJUQSTZLR33NUJ2AV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AQTSDYETOLJUQSTZLR33NUJ2AV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:AQTSDYETOLJUQSTZLR33NUJ2AV","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":"dc342f3ecdb4e2647a3b2c80aa0b509e25000039b6d40bded13407fde2560c3d","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","math.PR"],"license":"","primary_cat":"math-ph","submitted_at":"2004-02-19T15:33:59Z","title_canon_sha256":"cafce38ba74f19cdbff942d6e400753c966d8a8c4741b37d0201c247c44063fc"},"schema_version":"1.0","source":{"id":"math-ph/0402057","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0402057","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0402057v1","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0402057","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"pith_short_12","alias_value":"AQTSDYETOLJU","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"pith_short_16","alias_value":"AQTSDYETOLJUQSTZ","created_at":"2026-07-04T14:33:59Z"},{"alias_kind":"pith_short_8","alias_value":"AQTSDYET","created_at":"2026-07-04T14:33:59Z"}],"graph_snapshots":[{"event_id":"sha256:10a7ca53977d4e2f1bac5676c2bd51f2851ab800f8fc4355c089f27676d58d8e","target":"graph","created_at":"2026-07-04T14:33:59Z","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/math-ph/0402057/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we propose a new method for studying spectral properties of the non-hermitian random matrix ensembles. Alike complex Green's function encodes, via discontinuities, the real spectrum of the hermitian ensembles, the proposed here quaternion extension of the Green's function leads directly to complex spectrum in case of non-hermitian ensembles and encodes additionally some spectral properties of the eigenvectors. The standard two-by-two matrix representation of the quaternions leads to generalization of so-called matrix-valued resolvent, proposed recently in the context of diagramma","authors_text":"Andrzej Jarosz, Maciej A. Nowak","cross_cats":["cond-mat.stat-mech","hep-th","math.MP","math.PR"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2004-02-19T15:33:59Z","title":"A Novel Approach to Non-Hermitian Random Matrix Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0402057","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:fe995d2f6efe72705d24c11e2dd07dfaa830c7b47862b673d7189a794463f985","target":"record","created_at":"2026-07-04T14:33:59Z","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":"dc342f3ecdb4e2647a3b2c80aa0b509e25000039b6d40bded13407fde2560c3d","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","math.PR"],"license":"","primary_cat":"math-ph","submitted_at":"2004-02-19T15:33:59Z","title_canon_sha256":"cafce38ba74f19cdbff942d6e400753c966d8a8c4741b37d0201c247c44063fc"},"schema_version":"1.0","source":{"id":"math-ph/0402057","kind":"arxiv","version":1}},"canonical_sha256":"042721e09372d3484a795c77b6d13a056321175ddf28d4967befe3d62413f1f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"042721e09372d3484a795c77b6d13a056321175ddf28d4967befe3d62413f1f2","first_computed_at":"2026-07-04T14:33:59.653818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:33:59.653818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MxVhNsq5RSD8D1+MnR4EJBHC8bgD3qdK7aFcoEbbSC4XIQja68T6VJoxrYKgyOSdVOwfeE2/EMyuBmqP7dMfCg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:33:59.654208Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0402057","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe995d2f6efe72705d24c11e2dd07dfaa830c7b47862b673d7189a794463f985","sha256:10a7ca53977d4e2f1bac5676c2bd51f2851ab800f8fc4355c089f27676d58d8e"],"state_sha256":"3607642f5b0280a58cd5c5f81f9a17ab36575f5ad251bca563985a1befc03075"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"irsAlTY7beTowlcp/coB96aG/al6WteuNmHsFvBOFwNrSlvgxvFziBT1KYkQkzLdbr8k5c2Ak4wrcJqvIKBdBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T10:13:49.508185Z","bundle_sha256":"996e7edaa2522af5a09dd8cef26bcb17fda97655613d2403add12978a851300e"}}