{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QEIDZX3JTHROHEJW6BQYUCVD7Z","short_pith_number":"pith:QEIDZX3J","canonical_record":{"source":{"id":"1707.03793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-07-12T16:40:50Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"e087843b8757a5ee18ffde70c2018731c6d6d6b2346898b271d731ca19f871d7","abstract_canon_sha256":"dd54dec28206403c0849a0381c814b0fb452e568f07503adb4162c36247b24f5"},"schema_version":"1.0"},"canonical_sha256":"81103cdf6999e2e39136f0618a0aa3fe77575684fdedc7051ff29496046aa295","source":{"kind":"arxiv","id":"1707.03793","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03793","created_at":"2026-05-18T00:23:35Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03793v1","created_at":"2026-05-18T00:23:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03793","created_at":"2026-05-18T00:23:35Z"},{"alias_kind":"pith_short_12","alias_value":"QEIDZX3JTHRO","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QEIDZX3JTHROHEJW","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QEIDZX3J","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QEIDZX3JTHROHEJW6BQYUCVD7Z","target":"record","payload":{"canonical_record":{"source":{"id":"1707.03793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-07-12T16:40:50Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"e087843b8757a5ee18ffde70c2018731c6d6d6b2346898b271d731ca19f871d7","abstract_canon_sha256":"dd54dec28206403c0849a0381c814b0fb452e568f07503adb4162c36247b24f5"},"schema_version":"1.0"},"canonical_sha256":"81103cdf6999e2e39136f0618a0aa3fe77575684fdedc7051ff29496046aa295","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:35.147982Z","signature_b64":"KLQ4cRMYyaP2oa+5nZ/v30YWZF/92WnU0CQxXzHIw5NiJZFrH23V0OcN1HzSUylj6DJZ4gUZCM6WyJjIln5rBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81103cdf6999e2e39136f0618a0aa3fe77575684fdedc7051ff29496046aa295","last_reissued_at":"2026-05-18T00:23:35.147415Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:35.147415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.03793","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":"2026-05-18T00:23:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r7PJbw4Mx4i4b9xDfu5KB43v1F+GUQAoyZQKluZMR+bDAwlawaeOh/FT9YDNXsG9JxnBWYSC8WUVoI6YpfuFCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:45:43.284502Z"},"content_sha256":"b37d5238db34b8905b86aba6dc9086091a76642b7f1ce1b32c97d3521c89c339","schema_version":"1.0","event_id":"sha256:b37d5238db34b8905b86aba6dc9086091a76642b7f1ce1b32c97d3521c89c339"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QEIDZX3JTHROHEJW6BQYUCVD7Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluctuations of Wigner-type random matrices associated with symmetric spaces of class DIII and CI","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Michael Stolz","submitted_at":"2017-07-12T16:40:50Z","abstract_excerpt":"Wigner-type randomizations of the tangent spaces of classical symmetric spaces can be thought of as ordinary Wigner matrices on which additional symmetries have been imposed. In particular, they fall within the scope of a framework, due to Schenker and Schulz-Baldes, for the study of fluctuations of Wigner matrices with additional dependencies among their entries. In this contribution, we complement the results of these authors in that we develop a calculus of patterns which makes it possible to control the asymptotic contributions of dihedral non-crossing pair partitions for the Cartan classe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03793","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":""},"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":"2026-05-18T00:23:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vzFXZSik/k1baRo1criyeJyPRA71e5U9TrXlrsdfFAZfP/HSxe1OhuK9DH23zJ9V5/19wVNERVBgCiXtkvWRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:45:43.284849Z"},"content_sha256":"4d7f51f2331aa750b5c1bfd6b0690b4fdf020c3fe2c0b3b501fd93b5a0d8910e","schema_version":"1.0","event_id":"sha256:4d7f51f2331aa750b5c1bfd6b0690b4fdf020c3fe2c0b3b501fd93b5a0d8910e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QEIDZX3JTHROHEJW6BQYUCVD7Z/bundle.json","state_url":"https://pith.science/pith/QEIDZX3JTHROHEJW6BQYUCVD7Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QEIDZX3JTHROHEJW6BQYUCVD7Z/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":"2026-06-26T15:45:43Z","links":{"resolver":"https://pith.science/pith/QEIDZX3JTHROHEJW6BQYUCVD7Z","bundle":"https://pith.science/pith/QEIDZX3JTHROHEJW6BQYUCVD7Z/bundle.json","state":"https://pith.science/pith/QEIDZX3JTHROHEJW6BQYUCVD7Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QEIDZX3JTHROHEJW6BQYUCVD7Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QEIDZX3JTHROHEJW6BQYUCVD7Z","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":"dd54dec28206403c0849a0381c814b0fb452e568f07503adb4162c36247b24f5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-07-12T16:40:50Z","title_canon_sha256":"e087843b8757a5ee18ffde70c2018731c6d6d6b2346898b271d731ca19f871d7"},"schema_version":"1.0","source":{"id":"1707.03793","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03793","created_at":"2026-05-18T00:23:35Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03793v1","created_at":"2026-05-18T00:23:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03793","created_at":"2026-05-18T00:23:35Z"},{"alias_kind":"pith_short_12","alias_value":"QEIDZX3JTHRO","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QEIDZX3JTHROHEJW","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QEIDZX3J","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:4d7f51f2331aa750b5c1bfd6b0690b4fdf020c3fe2c0b3b501fd93b5a0d8910e","target":"graph","created_at":"2026-05-18T00:23:35Z","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":"Wigner-type randomizations of the tangent spaces of classical symmetric spaces can be thought of as ordinary Wigner matrices on which additional symmetries have been imposed. In particular, they fall within the scope of a framework, due to Schenker and Schulz-Baldes, for the study of fluctuations of Wigner matrices with additional dependencies among their entries. In this contribution, we complement the results of these authors in that we develop a calculus of patterns which makes it possible to control the asymptotic contributions of dihedral non-crossing pair partitions for the Cartan classe","authors_text":"Michael Stolz","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-07-12T16:40:50Z","title":"Fluctuations of Wigner-type random matrices associated with symmetric spaces of class DIII and CI"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03793","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:b37d5238db34b8905b86aba6dc9086091a76642b7f1ce1b32c97d3521c89c339","target":"record","created_at":"2026-05-18T00:23:35Z","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":"dd54dec28206403c0849a0381c814b0fb452e568f07503adb4162c36247b24f5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-07-12T16:40:50Z","title_canon_sha256":"e087843b8757a5ee18ffde70c2018731c6d6d6b2346898b271d731ca19f871d7"},"schema_version":"1.0","source":{"id":"1707.03793","kind":"arxiv","version":1}},"canonical_sha256":"81103cdf6999e2e39136f0618a0aa3fe77575684fdedc7051ff29496046aa295","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81103cdf6999e2e39136f0618a0aa3fe77575684fdedc7051ff29496046aa295","first_computed_at":"2026-05-18T00:23:35.147415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:35.147415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KLQ4cRMYyaP2oa+5nZ/v30YWZF/92WnU0CQxXzHIw5NiJZFrH23V0OcN1HzSUylj6DJZ4gUZCM6WyJjIln5rBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:35.147982Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.03793","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b37d5238db34b8905b86aba6dc9086091a76642b7f1ce1b32c97d3521c89c339","sha256:4d7f51f2331aa750b5c1bfd6b0690b4fdf020c3fe2c0b3b501fd93b5a0d8910e"],"state_sha256":"4d114bac7012924eaa62b3e3a81d4a56549e57d2e0661ec2ca511cc978c0c057"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VwvB9pnrAU1jNIVOz6g0tze4d+Q77wZpAJqfCyWdwi8GT3AHW24Bioj0b9wwdqKrGZMD64rz45q82uR5iuCTAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T15:45:43.286846Z","bundle_sha256":"45e95e48c99ee63d62a7d51318cfac3bb1432fbce1291f3dd50d8d3befcc14c1"}}