{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:LYO2BZJIBLY5YRIZZP7JQDG337","short_pith_number":"pith:LYO2BZJI","canonical_record":{"source":{"id":"2310.17635","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-10-26T17:51:53Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"1df9dd7fdac929e9a994e81345b4ce304491de82c16deed75bf5f74fde441117","abstract_canon_sha256":"97bd3828822beafe531e5eafbaac4e4df8004ca91b54777f40c2108847b40ea5"},"schema_version":"1.0"},"canonical_sha256":"5e1da0e5280af1dc4519cbfe980cdbdffa28509b93d530fb7518cc48193dd5ae","source":{"kind":"arxiv","id":"2310.17635","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.17635","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"arxiv_version","alias_value":"2310.17635v2","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.17635","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"pith_short_12","alias_value":"LYO2BZJIBLY5","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"pith_short_16","alias_value":"LYO2BZJIBLY5YRIZ","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"pith_short_8","alias_value":"LYO2BZJI","created_at":"2026-07-05T11:29:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:LYO2BZJIBLY5YRIZZP7JQDG337","target":"record","payload":{"canonical_record":{"source":{"id":"2310.17635","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-10-26T17:51:53Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"1df9dd7fdac929e9a994e81345b4ce304491de82c16deed75bf5f74fde441117","abstract_canon_sha256":"97bd3828822beafe531e5eafbaac4e4df8004ca91b54777f40c2108847b40ea5"},"schema_version":"1.0"},"canonical_sha256":"5e1da0e5280af1dc4519cbfe980cdbdffa28509b93d530fb7518cc48193dd5ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:29:33.906519Z","signature_b64":"yHvXQSG7hqSDxlVwna8w/jclLRASya36KenmkPqs7WZHLEHtebkjMjE0PzoSIRzwLVE6NOsDGazZ95MsLQJoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e1da0e5280af1dc4519cbfe980cdbdffa28509b93d530fb7518cc48193dd5ae","last_reissued_at":"2026-07-05T11:29:33.905927Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:29:33.905927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.17635","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":"2026-07-05T11:29:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ddqNLjZCeixtNbEWlEIKRETvmy+60JWBgZZcTR1mA8UMKaca4QZxp5AoSVrJ2wMGQ2B6/vouh4uBrGoMY7tlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:40:37.960648Z"},"content_sha256":"df66ca5225f65745bc89f0ee028e8bf741fe2b71ef38716fdf06aaffb4f4b038","schema_version":"1.0","event_id":"sha256:df66ca5225f65745bc89f0ee028e8bf741fe2b71ef38716fdf06aaffb4f4b038"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:LYO2BZJIBLY5YRIZZP7JQDG337","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The limiting spectral law for sparse iid matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.PR","authors_text":"Ashwin Sah, Julian Sahasrabudhe, Mehtaab Sawhney","submitted_at":"2023-10-26T17:51:53Z","abstract_excerpt":"Let $A$ be an $n\\times n$ matrix with iid entries where $A_{ij} \\sim \\mathrm{Ber}(p)$ is a Bernoulli random variable with parameter $p = d/n$. We show that the empirical measure of the eigenvalues converges, in probability, to a deterministic distribution as $n \\rightarrow \\infty$. This essentially resolves a long line of work to determine the spectral laws of iid matrices and is the first known example for non-Hermitian random matrices at this level of sparsity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.17635","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/2310.17635/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":"2026-07-05T11:29:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"07qW9Vy2wvaoc0R6UDKtG5Zw8Tz7a7m6oP4nPFHXo+SoIIKTxWGUB7ZzkFXoougyP/z8DEGgNG+AzWNkfNV9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:40:37.961135Z"},"content_sha256":"8d66aea8a38378cfb2ece0780f8855e1f39abd1424f94e899ef254f124690258","schema_version":"1.0","event_id":"sha256:8d66aea8a38378cfb2ece0780f8855e1f39abd1424f94e899ef254f124690258"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LYO2BZJIBLY5YRIZZP7JQDG337/bundle.json","state_url":"https://pith.science/pith/LYO2BZJIBLY5YRIZZP7JQDG337/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LYO2BZJIBLY5YRIZZP7JQDG337/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":"2026-08-05T13:40:37Z","links":{"resolver":"https://pith.science/pith/LYO2BZJIBLY5YRIZZP7JQDG337","bundle":"https://pith.science/pith/LYO2BZJIBLY5YRIZZP7JQDG337/bundle.json","state":"https://pith.science/pith/LYO2BZJIBLY5YRIZZP7JQDG337/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LYO2BZJIBLY5YRIZZP7JQDG337/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:LYO2BZJIBLY5YRIZZP7JQDG337","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":"97bd3828822beafe531e5eafbaac4e4df8004ca91b54777f40c2108847b40ea5","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-10-26T17:51:53Z","title_canon_sha256":"1df9dd7fdac929e9a994e81345b4ce304491de82c16deed75bf5f74fde441117"},"schema_version":"1.0","source":{"id":"2310.17635","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.17635","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"arxiv_version","alias_value":"2310.17635v2","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.17635","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"pith_short_12","alias_value":"LYO2BZJIBLY5","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"pith_short_16","alias_value":"LYO2BZJIBLY5YRIZ","created_at":"2026-07-05T11:29:33Z"},{"alias_kind":"pith_short_8","alias_value":"LYO2BZJI","created_at":"2026-07-05T11:29:33Z"}],"graph_snapshots":[{"event_id":"sha256:8d66aea8a38378cfb2ece0780f8855e1f39abd1424f94e899ef254f124690258","target":"graph","created_at":"2026-07-05T11:29:33Z","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/2310.17635/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $A$ be an $n\\times n$ matrix with iid entries where $A_{ij} \\sim \\mathrm{Ber}(p)$ is a Bernoulli random variable with parameter $p = d/n$. We show that the empirical measure of the eigenvalues converges, in probability, to a deterministic distribution as $n \\rightarrow \\infty$. This essentially resolves a long line of work to determine the spectral laws of iid matrices and is the first known example for non-Hermitian random matrices at this level of sparsity.","authors_text":"Ashwin Sah, Julian Sahasrabudhe, Mehtaab Sawhney","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-10-26T17:51:53Z","title":"The limiting spectral law for sparse iid matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.17635","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:df66ca5225f65745bc89f0ee028e8bf741fe2b71ef38716fdf06aaffb4f4b038","target":"record","created_at":"2026-07-05T11:29:33Z","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":"97bd3828822beafe531e5eafbaac4e4df8004ca91b54777f40c2108847b40ea5","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-10-26T17:51:53Z","title_canon_sha256":"1df9dd7fdac929e9a994e81345b4ce304491de82c16deed75bf5f74fde441117"},"schema_version":"1.0","source":{"id":"2310.17635","kind":"arxiv","version":2}},"canonical_sha256":"5e1da0e5280af1dc4519cbfe980cdbdffa28509b93d530fb7518cc48193dd5ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e1da0e5280af1dc4519cbfe980cdbdffa28509b93d530fb7518cc48193dd5ae","first_computed_at":"2026-07-05T11:29:33.905927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:29:33.905927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yHvXQSG7hqSDxlVwna8w/jclLRASya36KenmkPqs7WZHLEHtebkjMjE0PzoSIRzwLVE6NOsDGazZ95MsLQJoAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:29:33.906519Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.17635","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df66ca5225f65745bc89f0ee028e8bf741fe2b71ef38716fdf06aaffb4f4b038","sha256:8d66aea8a38378cfb2ece0780f8855e1f39abd1424f94e899ef254f124690258"],"state_sha256":"db13cf33abf710bee99e36ec415987efab53cc48abdf2f604c14041819e8e6c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KOw0quztgCYHF3TlYoQFpvZ9joSUYXgVoHUPOp7Y5MM0xTTZ4PtTmKO+xAzrblc6QU2Vmtvgq0fB/VgmhlVLAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T13:40:37.965061Z","bundle_sha256":"f3e35a1c908cd3866c196859eb4ba88dfb8e8729f825a96d599b4950960a7833"}}