{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:MPZWAM2G6BKXQ5OVT6OVV5WLHQ","short_pith_number":"pith:MPZWAM2G","canonical_record":{"source":{"id":"1101.5686","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2011-01-29T09:16:20Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"667fd1a3c549b82c4ba4836014efd423a229b1e0cc0de9ac4dedb3501bdb9b38","abstract_canon_sha256":"a9a813cc792f43c2a6bdfc8f8df0b4d9c1c5e2546a2a935b5a0252c7fb724e83"},"schema_version":"1.0"},"canonical_sha256":"63f3603346f0557875d59f9d5af6cb3c0e8ea66cbac9b8405be59fcef3c03f18","source":{"kind":"arxiv","id":"1101.5686","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5686","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5686v3","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5686","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"pith_short_12","alias_value":"MPZWAM2G6BKX","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MPZWAM2G6BKXQ5OV","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MPZWAM2G","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:MPZWAM2G6BKXQ5OVT6OVV5WLHQ","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5686","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2011-01-29T09:16:20Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"667fd1a3c549b82c4ba4836014efd423a229b1e0cc0de9ac4dedb3501bdb9b38","abstract_canon_sha256":"a9a813cc792f43c2a6bdfc8f8df0b4d9c1c5e2546a2a935b5a0252c7fb724e83"},"schema_version":"1.0"},"canonical_sha256":"63f3603346f0557875d59f9d5af6cb3c0e8ea66cbac9b8405be59fcef3c03f18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:20.541292Z","signature_b64":"sIm+d34Vl6pRGTZSukh0fwr8LZd55X58c2+8/jkAMSvd15EtSuBIcYU4k8DYOtOhh/wZkpazDGbHPpFgLOk2CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63f3603346f0557875d59f9d5af6cb3c0e8ea66cbac9b8405be59fcef3c03f18","last_reissued_at":"2026-05-18T02:03:20.540797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:20.540797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5686","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:03:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7uKS6vg+Mks/73XoaQlB0pFftlkMomN8UoygaqwvvG7IpsjeBQCdNJv46nTA3syRleiw0Cn7G5E9XaFM2k6/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:33:50.182790Z"},"content_sha256":"e248d48d3ec3632d7c3855cdf0801b2cc328e2c9034c018f8ad27aa2f13cb5b8","schema_version":"1.0","event_id":"sha256:e248d48d3ec3632d7c3855cdf0801b2cc328e2c9034c018f8ad27aa2f13cb5b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:MPZWAM2G6BKXQ5OVT6OVV5WLHQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Randomized Wilson loops, reduced models and the large D expansion","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Oleg Evnin","submitted_at":"2011-01-29T09:16:20Z","abstract_excerpt":"Reduced models are matrix integrals believed to be related to the large N limit of gauge theories. These integrals are known to simplify further when the number of matrices D (corresponding to the number of space-time dimensions in the gauge theory) becomes large. Even though this limit appears to be of little use for computing the standard rectangular Wilson loop (which always singles out two directions out of D), a meaningful large D limit can be defined for a randomized Wilson loop (in which all D directions contribute equally). In this article, a proof-of-concept demonstration of this appr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5686","kind":"arxiv","version":3},"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":"2026-05-18T02:03:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8/qr/WT11AjK/4ZKRenEdTW/sLQ4cS949ilffUL18fOb3VTKllEz4IXn83d7JlxGwW2QOeLQ2insyItgXCPPDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:33:50.183245Z"},"content_sha256":"778b33941d41c5b236e34e3521a8353a1389041c9bf368f3f1b552eebea9a191","schema_version":"1.0","event_id":"sha256:778b33941d41c5b236e34e3521a8353a1389041c9bf368f3f1b552eebea9a191"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MPZWAM2G6BKXQ5OVT6OVV5WLHQ/bundle.json","state_url":"https://pith.science/pith/MPZWAM2G6BKXQ5OVT6OVV5WLHQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MPZWAM2G6BKXQ5OVT6OVV5WLHQ/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":"2026-05-30T22:33:50Z","links":{"resolver":"https://pith.science/pith/MPZWAM2G6BKXQ5OVT6OVV5WLHQ","bundle":"https://pith.science/pith/MPZWAM2G6BKXQ5OVT6OVV5WLHQ/bundle.json","state":"https://pith.science/pith/MPZWAM2G6BKXQ5OVT6OVV5WLHQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MPZWAM2G6BKXQ5OVT6OVV5WLHQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MPZWAM2G6BKXQ5OVT6OVV5WLHQ","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":"a9a813cc792f43c2a6bdfc8f8df0b4d9c1c5e2546a2a935b5a0252c7fb724e83","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2011-01-29T09:16:20Z","title_canon_sha256":"667fd1a3c549b82c4ba4836014efd423a229b1e0cc0de9ac4dedb3501bdb9b38"},"schema_version":"1.0","source":{"id":"1101.5686","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5686","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5686v3","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5686","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"pith_short_12","alias_value":"MPZWAM2G6BKX","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MPZWAM2G6BKXQ5OV","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MPZWAM2G","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:778b33941d41c5b236e34e3521a8353a1389041c9bf368f3f1b552eebea9a191","target":"graph","created_at":"2026-05-18T02:03:20Z","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":"Reduced models are matrix integrals believed to be related to the large N limit of gauge theories. These integrals are known to simplify further when the number of matrices D (corresponding to the number of space-time dimensions in the gauge theory) becomes large. Even though this limit appears to be of little use for computing the standard rectangular Wilson loop (which always singles out two directions out of D), a meaningful large D limit can be defined for a randomized Wilson loop (in which all D directions contribute equally). In this article, a proof-of-concept demonstration of this appr","authors_text":"Oleg Evnin","cross_cats":["hep-lat"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2011-01-29T09:16:20Z","title":"Randomized Wilson loops, reduced models and the large D expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5686","kind":"arxiv","version":3},"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:e248d48d3ec3632d7c3855cdf0801b2cc328e2c9034c018f8ad27aa2f13cb5b8","target":"record","created_at":"2026-05-18T02:03:20Z","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":"a9a813cc792f43c2a6bdfc8f8df0b4d9c1c5e2546a2a935b5a0252c7fb724e83","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2011-01-29T09:16:20Z","title_canon_sha256":"667fd1a3c549b82c4ba4836014efd423a229b1e0cc0de9ac4dedb3501bdb9b38"},"schema_version":"1.0","source":{"id":"1101.5686","kind":"arxiv","version":3}},"canonical_sha256":"63f3603346f0557875d59f9d5af6cb3c0e8ea66cbac9b8405be59fcef3c03f18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63f3603346f0557875d59f9d5af6cb3c0e8ea66cbac9b8405be59fcef3c03f18","first_computed_at":"2026-05-18T02:03:20.540797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:20.540797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sIm+d34Vl6pRGTZSukh0fwr8LZd55X58c2+8/jkAMSvd15EtSuBIcYU4k8DYOtOhh/wZkpazDGbHPpFgLOk2CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:20.541292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5686","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e248d48d3ec3632d7c3855cdf0801b2cc328e2c9034c018f8ad27aa2f13cb5b8","sha256:778b33941d41c5b236e34e3521a8353a1389041c9bf368f3f1b552eebea9a191"],"state_sha256":"3d52bbc28fabd2bdce99877e7647706db6faec5c4a34155f507f3c3a29855a90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kWzL+WqovXNSZ8cmKwhxyZSRsv9yl++SQB/291L5KMt12YFTZLkWxvybLFcazumlTIgE7FDT7eemiT1eO7RfCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T22:33:50.186714Z","bundle_sha256":"2f3cc3a0ed630f9b69e60bde44873860750ab5df344891ec610644729461d6f4"}}