{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HKXARKQIO3ZSD2WGON4HZYNFRM","short_pith_number":"pith:HKXARKQI","canonical_record":{"source":{"id":"1112.3545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-15T15:53:46Z","cross_cats_sorted":[],"title_canon_sha256":"23b43c332ceb94bbf94159e95924168cecad1da118f558ec81376b5f1b6b3ddb","abstract_canon_sha256":"e5ebaf499b0b4f51eb4dffaf480a2670db3af5376c21d556e7f97401052daa90"},"schema_version":"1.0"},"canonical_sha256":"3aae08aa0876f321eac673787ce1a58b39b1e4a8049c2d239202bf202dcb13fe","source":{"kind":"arxiv","id":"1112.3545","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3545","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3545v1","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3545","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"HKXARKQIO3ZS","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HKXARKQIO3ZSD2WG","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HKXARKQI","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HKXARKQIO3ZSD2WGON4HZYNFRM","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-15T15:53:46Z","cross_cats_sorted":[],"title_canon_sha256":"23b43c332ceb94bbf94159e95924168cecad1da118f558ec81376b5f1b6b3ddb","abstract_canon_sha256":"e5ebaf499b0b4f51eb4dffaf480a2670db3af5376c21d556e7f97401052daa90"},"schema_version":"1.0"},"canonical_sha256":"3aae08aa0876f321eac673787ce1a58b39b1e4a8049c2d239202bf202dcb13fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:09.265339Z","signature_b64":"VCOuKTf3MqW1Piz7jSVWp7DIHkJJI1Yoi0iKtuueF1NeEPwsxDd0RCzsJwQgxYEQYXW56SlADTp8jA26CzB+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3aae08aa0876f321eac673787ce1a58b39b1e4a8049c2d239202bf202dcb13fe","last_reissued_at":"2026-05-18T01:59:09.264684Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:09.264684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3545","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":"2026-05-18T01:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ggo7cc2LIO0c4uLo4K6A6lfILdXYk4u4+g58syl2QW4UaE4bVoUHoiduBKLS5iOEILF2lkVdnG6hBE5YoiyTAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:08:41.392437Z"},"content_sha256":"581c0f4fca6680421a1da1f47bf23e2a8b32c685f671236d1edfd3fc81f91a32","schema_version":"1.0","event_id":"sha256:581c0f4fca6680421a1da1f47bf23e2a8b32c685f671236d1edfd3fc81f91a32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HKXARKQIO3ZSD2WGON4HZYNFRM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"\\beta-deformed matrix model and Nekrasov partition function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chaiho Rim, Takahiro Nishinaka","submitted_at":"2011-12-15T15:53:46Z","abstract_excerpt":"We study Penner type matrix models in relation with the Nekrasov partition function of four dimensional \\mathcal{N}=2, SU(2) supersymmetric gauge theories with N_F=2,3 and 4. By evaluating the resolvent using the loop equation for general \\beta, we explicitly construct the first half-genus correction to the free energy and demonstrate the result coincides with the corresponding Nekrasov partition function with general \\Omega-background, including higher instanton contributions after modifying the relation of the Coulomb branch parameter with the filling fraction. Our approach complements the p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3545","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":"2026-05-18T01:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"276QEDhFo437jGrkA6bLShayUvDW9wP8uq9rsYSSNpUyOKvqcEzknt0dnyD4uw0psKWsQbgaVP2a002Q0KCdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:08:41.392783Z"},"content_sha256":"2abec07a77c814475b2ca9a103feb5fd4e002ab8a5f64bbfc79d04a671991218","schema_version":"1.0","event_id":"sha256:2abec07a77c814475b2ca9a103feb5fd4e002ab8a5f64bbfc79d04a671991218"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HKXARKQIO3ZSD2WGON4HZYNFRM/bundle.json","state_url":"https://pith.science/pith/HKXARKQIO3ZSD2WGON4HZYNFRM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HKXARKQIO3ZSD2WGON4HZYNFRM/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":"2026-06-01T20:08:41Z","links":{"resolver":"https://pith.science/pith/HKXARKQIO3ZSD2WGON4HZYNFRM","bundle":"https://pith.science/pith/HKXARKQIO3ZSD2WGON4HZYNFRM/bundle.json","state":"https://pith.science/pith/HKXARKQIO3ZSD2WGON4HZYNFRM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HKXARKQIO3ZSD2WGON4HZYNFRM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HKXARKQIO3ZSD2WGON4HZYNFRM","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":"e5ebaf499b0b4f51eb4dffaf480a2670db3af5376c21d556e7f97401052daa90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-15T15:53:46Z","title_canon_sha256":"23b43c332ceb94bbf94159e95924168cecad1da118f558ec81376b5f1b6b3ddb"},"schema_version":"1.0","source":{"id":"1112.3545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3545","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3545v1","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3545","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"HKXARKQIO3ZS","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HKXARKQIO3ZSD2WG","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HKXARKQI","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:2abec07a77c814475b2ca9a103feb5fd4e002ab8a5f64bbfc79d04a671991218","target":"graph","created_at":"2026-05-18T01:59:09Z","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 study Penner type matrix models in relation with the Nekrasov partition function of four dimensional \\mathcal{N}=2, SU(2) supersymmetric gauge theories with N_F=2,3 and 4. By evaluating the resolvent using the loop equation for general \\beta, we explicitly construct the first half-genus correction to the free energy and demonstrate the result coincides with the corresponding Nekrasov partition function with general \\Omega-background, including higher instanton contributions after modifying the relation of the Coulomb branch parameter with the filling fraction. Our approach complements the p","authors_text":"Chaiho Rim, Takahiro Nishinaka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-15T15:53:46Z","title":"\\beta-deformed matrix model and Nekrasov partition function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3545","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":"sha256:581c0f4fca6680421a1da1f47bf23e2a8b32c685f671236d1edfd3fc81f91a32","target":"record","created_at":"2026-05-18T01:59:09Z","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":"e5ebaf499b0b4f51eb4dffaf480a2670db3af5376c21d556e7f97401052daa90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-15T15:53:46Z","title_canon_sha256":"23b43c332ceb94bbf94159e95924168cecad1da118f558ec81376b5f1b6b3ddb"},"schema_version":"1.0","source":{"id":"1112.3545","kind":"arxiv","version":1}},"canonical_sha256":"3aae08aa0876f321eac673787ce1a58b39b1e4a8049c2d239202bf202dcb13fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3aae08aa0876f321eac673787ce1a58b39b1e4a8049c2d239202bf202dcb13fe","first_computed_at":"2026-05-18T01:59:09.264684Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:09.264684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VCOuKTf3MqW1Piz7jSVWp7DIHkJJI1Yoi0iKtuueF1NeEPwsxDd0RCzsJwQgxYEQYXW56SlADTp8jA26CzB+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:09.265339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:581c0f4fca6680421a1da1f47bf23e2a8b32c685f671236d1edfd3fc81f91a32","sha256:2abec07a77c814475b2ca9a103feb5fd4e002ab8a5f64bbfc79d04a671991218"],"state_sha256":"1594b5a26ea46595f2f69885f71f19a0aa335b66d8db27942ab0efc7d5f262f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iMIwqAHc4Ol9Ov/4VbNWPcyoJRy55b8NgLltTAdcC+ePZniI0T6VmIAzBuqGoSzV9xihFrTdCVu2jYCQw6ATCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:08:41.395166Z","bundle_sha256":"a062e51d56b4f9fc72afc3af4d460fea76671efb60a41e15dd978a11dc147ccd"}}