{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IUWI5RMGI7O4QSPBG46EK7MD6P","short_pith_number":"pith:IUWI5RMG","canonical_record":{"source":{"id":"1708.02726","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-09T06:10:32Z","cross_cats_sorted":[],"title_canon_sha256":"7cfcb9b618c2ac4e04dc6ed466708cbd982b82450c77d107404531e22e22ac7c","abstract_canon_sha256":"0af1087a2e4a3a32a3a74dc6ff8497135b61dbabc8268886f0f11cb3795c6b2f"},"schema_version":"1.0"},"canonical_sha256":"452c8ec58647ddc849e1373c457d83f3fbe53655c29c673e408f21321ababcb8","source":{"kind":"arxiv","id":"1708.02726","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02726","created_at":"2026-05-18T00:23:53Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02726v2","created_at":"2026-05-18T00:23:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02726","created_at":"2026-05-18T00:23:53Z"},{"alias_kind":"pith_short_12","alias_value":"IUWI5RMGI7O4","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IUWI5RMGI7O4QSPB","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IUWI5RMG","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IUWI5RMGI7O4QSPBG46EK7MD6P","target":"record","payload":{"canonical_record":{"source":{"id":"1708.02726","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-09T06:10:32Z","cross_cats_sorted":[],"title_canon_sha256":"7cfcb9b618c2ac4e04dc6ed466708cbd982b82450c77d107404531e22e22ac7c","abstract_canon_sha256":"0af1087a2e4a3a32a3a74dc6ff8497135b61dbabc8268886f0f11cb3795c6b2f"},"schema_version":"1.0"},"canonical_sha256":"452c8ec58647ddc849e1373c457d83f3fbe53655c29c673e408f21321ababcb8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:53.223472Z","signature_b64":"f8ns1q1ZQPDmVOUxD2ratumDyWXL5U3WCHkeN3cALPc6bvi33FgKVog/NzgrhTCohAviAqWvKkT8x9K/mG94CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"452c8ec58647ddc849e1373c457d83f3fbe53655c29c673e408f21321ababcb8","last_reissued_at":"2026-05-18T00:23:53.222855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:53.222855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.02726","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":"2026-05-18T00:23:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNvv2Eqc0t/SRMOonqvI3DQG4m5ZcQcCzPR0rsWEIh1x0axSkMQeZOZaoOnxwNSCVjCTWq21Je6X3Vxj0kPlCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:57:15.084191Z"},"content_sha256":"6c5cae13d0d3956b007ab8e73df33485ff74bc7ecb0a02a0dc00fd27df086c9a","schema_version":"1.0","event_id":"sha256:6c5cae13d0d3956b007ab8e73df33485ff74bc7ecb0a02a0dc00fd27df086c9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IUWI5RMGI7O4QSPBG46EK7MD6P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universality in the fluctuation of eigenvalues of random circulant matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Kartick Adhikari, Koushik Saha","submitted_at":"2017-08-09T06:10:32Z","abstract_excerpt":"We show that the linear statistics of eigenvalues of circulant matrix obey the Gaussian central limit theorem for a large class of input sequences."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02726","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":"2026-05-18T00:23:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ios/jnpaugJFM+H20lJB87iZTtnd8tW48L31qyYpQrhi3n5HIsG5aoEPMcl0rWmouqtULkmsT7ecANUfmsvGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:57:15.084553Z"},"content_sha256":"bb51cd04ae4c5018739837b2371234218d6d14853c688868c67f8ef83d198f0a","schema_version":"1.0","event_id":"sha256:bb51cd04ae4c5018739837b2371234218d6d14853c688868c67f8ef83d198f0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IUWI5RMGI7O4QSPBG46EK7MD6P/bundle.json","state_url":"https://pith.science/pith/IUWI5RMGI7O4QSPBG46EK7MD6P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IUWI5RMGI7O4QSPBG46EK7MD6P/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":"2026-06-24T09:57:15Z","links":{"resolver":"https://pith.science/pith/IUWI5RMGI7O4QSPBG46EK7MD6P","bundle":"https://pith.science/pith/IUWI5RMGI7O4QSPBG46EK7MD6P/bundle.json","state":"https://pith.science/pith/IUWI5RMGI7O4QSPBG46EK7MD6P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IUWI5RMGI7O4QSPBG46EK7MD6P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IUWI5RMGI7O4QSPBG46EK7MD6P","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":"0af1087a2e4a3a32a3a74dc6ff8497135b61dbabc8268886f0f11cb3795c6b2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-09T06:10:32Z","title_canon_sha256":"7cfcb9b618c2ac4e04dc6ed466708cbd982b82450c77d107404531e22e22ac7c"},"schema_version":"1.0","source":{"id":"1708.02726","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02726","created_at":"2026-05-18T00:23:53Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02726v2","created_at":"2026-05-18T00:23:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02726","created_at":"2026-05-18T00:23:53Z"},{"alias_kind":"pith_short_12","alias_value":"IUWI5RMGI7O4","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IUWI5RMGI7O4QSPB","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IUWI5RMG","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:bb51cd04ae4c5018739837b2371234218d6d14853c688868c67f8ef83d198f0a","target":"graph","created_at":"2026-05-18T00:23:53Z","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 show that the linear statistics of eigenvalues of circulant matrix obey the Gaussian central limit theorem for a large class of input sequences.","authors_text":"Kartick Adhikari, Koushik Saha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-09T06:10:32Z","title":"Universality in the fluctuation of eigenvalues of random circulant matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02726","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":"sha256:6c5cae13d0d3956b007ab8e73df33485ff74bc7ecb0a02a0dc00fd27df086c9a","target":"record","created_at":"2026-05-18T00:23:53Z","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":"0af1087a2e4a3a32a3a74dc6ff8497135b61dbabc8268886f0f11cb3795c6b2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-09T06:10:32Z","title_canon_sha256":"7cfcb9b618c2ac4e04dc6ed466708cbd982b82450c77d107404531e22e22ac7c"},"schema_version":"1.0","source":{"id":"1708.02726","kind":"arxiv","version":2}},"canonical_sha256":"452c8ec58647ddc849e1373c457d83f3fbe53655c29c673e408f21321ababcb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"452c8ec58647ddc849e1373c457d83f3fbe53655c29c673e408f21321ababcb8","first_computed_at":"2026-05-18T00:23:53.222855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:53.222855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f8ns1q1ZQPDmVOUxD2ratumDyWXL5U3WCHkeN3cALPc6bvi33FgKVog/NzgrhTCohAviAqWvKkT8x9K/mG94CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:53.223472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.02726","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c5cae13d0d3956b007ab8e73df33485ff74bc7ecb0a02a0dc00fd27df086c9a","sha256:bb51cd04ae4c5018739837b2371234218d6d14853c688868c67f8ef83d198f0a"],"state_sha256":"170e9f7cab9c729d0d2e52fb3cccb38be11844939420b5902474c0630baae3e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iFRHysgJEPluFwHvyhJYIcMsVfrrT6Qp/TtMNK6qN++6SkKzrpYFVn1DF7kW6ymwKpgp36UZBKFlS9Z+n5kGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T09:57:15.086498Z","bundle_sha256":"e0071683d9e725e41b6503cfc7752472289ba9e27561c1e2e6fe8c5271cff1a8"}}