{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AZ6KSTRHGNWA3BQUPCRLAVXJZ2","short_pith_number":"pith:AZ6KSTRH","canonical_record":{"source":{"id":"1610.06517","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-20T17:44:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a3b1e1e2525114e835f136bc308a99210d7c62855b29c17cb4789fa28806e464","abstract_canon_sha256":"ab480d5e8dae0e79fa4dad237cba76c9a2a7464ea4da29805ac44ac50f5d3cac"},"schema_version":"1.0"},"canonical_sha256":"067ca94e27336c0d861478a2b056e9ce99513b1e3b74e47b49460925522e0138","source":{"kind":"arxiv","id":"1610.06517","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06517","created_at":"2026-05-18T00:07:28Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06517v2","created_at":"2026-05-18T00:07:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06517","created_at":"2026-05-18T00:07:28Z"},{"alias_kind":"pith_short_12","alias_value":"AZ6KSTRHGNWA","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AZ6KSTRHGNWA3BQU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AZ6KSTRH","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AZ6KSTRHGNWA3BQUPCRLAVXJZ2","target":"record","payload":{"canonical_record":{"source":{"id":"1610.06517","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-20T17:44:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a3b1e1e2525114e835f136bc308a99210d7c62855b29c17cb4789fa28806e464","abstract_canon_sha256":"ab480d5e8dae0e79fa4dad237cba76c9a2a7464ea4da29805ac44ac50f5d3cac"},"schema_version":"1.0"},"canonical_sha256":"067ca94e27336c0d861478a2b056e9ce99513b1e3b74e47b49460925522e0138","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:28.525807Z","signature_b64":"FsdttuxHx4Ya3qbKotTIoM2lYRcBXrsQIkSZJ0JMbmLJ1SN4KDrBch2ibz7CcXHA2qu/zWRynTQfP7yIo9S6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"067ca94e27336c0d861478a2b056e9ce99513b1e3b74e47b49460925522e0138","last_reissued_at":"2026-05-18T00:07:28.525306Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:28.525306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.06517","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":"2026-05-18T00:07:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+hXH94VJ7dH33JSeWxlVdQokxj1iyvq/UJIEQUVbgW9GhS8F5YMHkaKx/BGxIIMN1fvzOTrqGuGQt6PMcfCHCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T04:18:29.335067Z"},"content_sha256":"5cc60d679157ef9e4d8d167f0c3960ddb20f8fc8ce59df6c617e7160bad4c000","schema_version":"1.0","event_id":"sha256:5cc60d679157ef9e4d8d167f0c3960ddb20f8fc8ce59df6c617e7160bad4c000"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AZ6KSTRHGNWA3BQUPCRLAVXJZ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universality at weak and strong non-Hermiticity beyond the elliptic Ginibre ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Gernot Akemann, Martin Venker, Milan Cikovic","submitted_at":"2016-10-20T17:44:51Z","abstract_excerpt":"We consider non-Gaussian extensions of the elliptic Ginibre ensemble of complex non-Hermitian random matrices by fixing the trace $\\operatorname{Tr}(XX^*)$ of the matrix $X$ with a hard or soft constraint. These ensembles have correlated matrix entries and non-determinantal joint densities of the complex eigenvalues. We study global and local bulk statistics in these ensembles, in particular in the limit of weak non-Hermiticity introduced by Fyodorov, Khoruzhenko and Sommers. Here, the support of the limiting measure collapses to the real line. This limit was motivated by physics applications "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06517","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":""},"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":"2026-05-18T00:07:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MDtpauKQ2jcA/hbrHvjlCHDb9BkmePuruygxc/oo1s18tVIiWvqkTqtl7FD9KluCjTryCzsgxSU+zQm8zHDuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T04:18:29.335423Z"},"content_sha256":"71b889305eb62d58236a5941077f42688de6a2bd4be619b6716b570b85e73e99","schema_version":"1.0","event_id":"sha256:71b889305eb62d58236a5941077f42688de6a2bd4be619b6716b570b85e73e99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AZ6KSTRHGNWA3BQUPCRLAVXJZ2/bundle.json","state_url":"https://pith.science/pith/AZ6KSTRHGNWA3BQUPCRLAVXJZ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AZ6KSTRHGNWA3BQUPCRLAVXJZ2/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":"2026-07-05T04:18:29Z","links":{"resolver":"https://pith.science/pith/AZ6KSTRHGNWA3BQUPCRLAVXJZ2","bundle":"https://pith.science/pith/AZ6KSTRHGNWA3BQUPCRLAVXJZ2/bundle.json","state":"https://pith.science/pith/AZ6KSTRHGNWA3BQUPCRLAVXJZ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AZ6KSTRHGNWA3BQUPCRLAVXJZ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AZ6KSTRHGNWA3BQUPCRLAVXJZ2","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":"ab480d5e8dae0e79fa4dad237cba76c9a2a7464ea4da29805ac44ac50f5d3cac","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-20T17:44:51Z","title_canon_sha256":"a3b1e1e2525114e835f136bc308a99210d7c62855b29c17cb4789fa28806e464"},"schema_version":"1.0","source":{"id":"1610.06517","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06517","created_at":"2026-05-18T00:07:28Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06517v2","created_at":"2026-05-18T00:07:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06517","created_at":"2026-05-18T00:07:28Z"},{"alias_kind":"pith_short_12","alias_value":"AZ6KSTRHGNWA","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AZ6KSTRHGNWA3BQU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AZ6KSTRH","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:71b889305eb62d58236a5941077f42688de6a2bd4be619b6716b570b85e73e99","target":"graph","created_at":"2026-05-18T00:07:28Z","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 consider non-Gaussian extensions of the elliptic Ginibre ensemble of complex non-Hermitian random matrices by fixing the trace $\\operatorname{Tr}(XX^*)$ of the matrix $X$ with a hard or soft constraint. These ensembles have correlated matrix entries and non-determinantal joint densities of the complex eigenvalues. We study global and local bulk statistics in these ensembles, in particular in the limit of weak non-Hermiticity introduced by Fyodorov, Khoruzhenko and Sommers. Here, the support of the limiting measure collapses to the real line. This limit was motivated by physics applications ","authors_text":"Gernot Akemann, Martin Venker, Milan Cikovic","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-20T17:44:51Z","title":"Universality at weak and strong non-Hermiticity beyond the elliptic Ginibre ensemble"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06517","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":"sha256:5cc60d679157ef9e4d8d167f0c3960ddb20f8fc8ce59df6c617e7160bad4c000","target":"record","created_at":"2026-05-18T00:07:28Z","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":"ab480d5e8dae0e79fa4dad237cba76c9a2a7464ea4da29805ac44ac50f5d3cac","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-20T17:44:51Z","title_canon_sha256":"a3b1e1e2525114e835f136bc308a99210d7c62855b29c17cb4789fa28806e464"},"schema_version":"1.0","source":{"id":"1610.06517","kind":"arxiv","version":2}},"canonical_sha256":"067ca94e27336c0d861478a2b056e9ce99513b1e3b74e47b49460925522e0138","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"067ca94e27336c0d861478a2b056e9ce99513b1e3b74e47b49460925522e0138","first_computed_at":"2026-05-18T00:07:28.525306Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:28.525306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FsdttuxHx4Ya3qbKotTIoM2lYRcBXrsQIkSZJ0JMbmLJ1SN4KDrBch2ibz7CcXHA2qu/zWRynTQfP7yIo9S6CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:28.525807Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.06517","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cc60d679157ef9e4d8d167f0c3960ddb20f8fc8ce59df6c617e7160bad4c000","sha256:71b889305eb62d58236a5941077f42688de6a2bd4be619b6716b570b85e73e99"],"state_sha256":"f7a58176473d0f4857dc7e8b6b751575d05cc3e657359529636948aeb389b15b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Iw87rn8jz5Le+ZXjyfA9G+qaSKbEeW/q3484eRkAXoYzxovy15NvtCuSNOwn/Y6dSJeLf52+UHrgwfnMSRY5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T04:18:29.337228Z","bundle_sha256":"bcdc08a42eb61fd79a0d517165a90bec363e264c76e314f542ea0e857e59412b"}}