{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:L2YJOSHIBCLCBYFNEMIF7YUMVX","short_pith_number":"pith:L2YJOSHI","canonical_record":{"source":{"id":"1010.1734","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-08T16:44:23Z","cross_cats_sorted":[],"title_canon_sha256":"edbd029a7b34b28419bf184dcbc22a0678ac8cc48040abfa650303182ccc994d","abstract_canon_sha256":"94627e24490a49c563fd9f99401efc409864477ef47c7b79461fbf036f108cfa"},"schema_version":"1.0"},"canonical_sha256":"5eb09748e8089620e0ad23105fe28cadd6f7ec75fa4b3ccfadbe5bcd8481cd2b","source":{"kind":"arxiv","id":"1010.1734","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1734","created_at":"2026-05-18T04:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1734v1","created_at":"2026-05-18T04:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1734","created_at":"2026-05-18T04:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"L2YJOSHIBCLC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"L2YJOSHIBCLCBYFN","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"L2YJOSHI","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:L2YJOSHIBCLCBYFNEMIF7YUMVX","target":"record","payload":{"canonical_record":{"source":{"id":"1010.1734","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-08T16:44:23Z","cross_cats_sorted":[],"title_canon_sha256":"edbd029a7b34b28419bf184dcbc22a0678ac8cc48040abfa650303182ccc994d","abstract_canon_sha256":"94627e24490a49c563fd9f99401efc409864477ef47c7b79461fbf036f108cfa"},"schema_version":"1.0"},"canonical_sha256":"5eb09748e8089620e0ad23105fe28cadd6f7ec75fa4b3ccfadbe5bcd8481cd2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:12.115725Z","signature_b64":"McY+HFMD2U1CT0EgZbRlwiiiY21U4BYk4/s7F713xcIZ2wyEnEqTJi9snyG5T39OeSYu8/uCjaUp8C/rsFb4Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5eb09748e8089620e0ad23105fe28cadd6f7ec75fa4b3ccfadbe5bcd8481cd2b","last_reissued_at":"2026-05-18T04:30:12.114930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:12.114930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.1734","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":"2026-05-18T04:30:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6dbVvgcdDxuaq5/Kj/qC4GjyaJQUneSZdkNufCQkK8qo1k9nuJg9yN33Wj76KzQyMpGe8EWpnb6nH+KThp+2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:18:24.676432Z"},"content_sha256":"35b50ce1b0648d54475d556bfb6f84155f451a0f4fcc76ec08a4b3806f9ec337","schema_version":"1.0","event_id":"sha256:35b50ce1b0648d54475d556bfb6f84155f451a0f4fcc76ec08a4b3806f9ec337"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:L2YJOSHIBCLCBYFNEMIF7YUMVX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On \"Dotsenko-Fateev\" representation of the toric conformal blocks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.Mironov, A.Morozov, Sh.Shakirov","submitted_at":"2010-10-08T16:44:23Z","abstract_excerpt":"We demonstrate that the recent ansatz of arXiv:1009.5553, inspired by the original remark due to R.Dijkgraaf and C.Vafa, reproduces the toric conformal blocks in the same sense that the spherical blocks are given by the integral representation of arXiv:1001.0563 with a peculiar choice of open integration contours for screening insertions. In other words, we provide some evidence that the toric conformal blocks are reproduced by appropriate beta-ensembles not only in the large-N limit, but also at finite N. The check is explicitly performed at the first two levels for the 1-point toric function"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1734","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":"2026-05-18T04:30:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+UHCRKx3Nc46/UcITT8Lap1LpreWOTRktoq3Us3rTZB0JbLU4BwvAmGsU/ol9CXrHJBfIUxjdAKZxknS3s94Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:18:24.676775Z"},"content_sha256":"629f09893c6c2d342e8b2a94db0efebb9074305d52a39fbc3265c0295fd61611","schema_version":"1.0","event_id":"sha256:629f09893c6c2d342e8b2a94db0efebb9074305d52a39fbc3265c0295fd61611"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L2YJOSHIBCLCBYFNEMIF7YUMVX/bundle.json","state_url":"https://pith.science/pith/L2YJOSHIBCLCBYFNEMIF7YUMVX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L2YJOSHIBCLCBYFNEMIF7YUMVX/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":"2026-06-01T08:18:24Z","links":{"resolver":"https://pith.science/pith/L2YJOSHIBCLCBYFNEMIF7YUMVX","bundle":"https://pith.science/pith/L2YJOSHIBCLCBYFNEMIF7YUMVX/bundle.json","state":"https://pith.science/pith/L2YJOSHIBCLCBYFNEMIF7YUMVX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L2YJOSHIBCLCBYFNEMIF7YUMVX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:L2YJOSHIBCLCBYFNEMIF7YUMVX","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":"94627e24490a49c563fd9f99401efc409864477ef47c7b79461fbf036f108cfa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-08T16:44:23Z","title_canon_sha256":"edbd029a7b34b28419bf184dcbc22a0678ac8cc48040abfa650303182ccc994d"},"schema_version":"1.0","source":{"id":"1010.1734","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1734","created_at":"2026-05-18T04:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1734v1","created_at":"2026-05-18T04:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1734","created_at":"2026-05-18T04:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"L2YJOSHIBCLC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"L2YJOSHIBCLCBYFN","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"L2YJOSHI","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:629f09893c6c2d342e8b2a94db0efebb9074305d52a39fbc3265c0295fd61611","target":"graph","created_at":"2026-05-18T04:30:12Z","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 demonstrate that the recent ansatz of arXiv:1009.5553, inspired by the original remark due to R.Dijkgraaf and C.Vafa, reproduces the toric conformal blocks in the same sense that the spherical blocks are given by the integral representation of arXiv:1001.0563 with a peculiar choice of open integration contours for screening insertions. In other words, we provide some evidence that the toric conformal blocks are reproduced by appropriate beta-ensembles not only in the large-N limit, but also at finite N. The check is explicitly performed at the first two levels for the 1-point toric function","authors_text":"A.Mironov, A.Morozov, Sh.Shakirov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-08T16:44:23Z","title":"On \"Dotsenko-Fateev\" representation of the toric conformal blocks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1734","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":"sha256:35b50ce1b0648d54475d556bfb6f84155f451a0f4fcc76ec08a4b3806f9ec337","target":"record","created_at":"2026-05-18T04:30:12Z","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":"94627e24490a49c563fd9f99401efc409864477ef47c7b79461fbf036f108cfa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-08T16:44:23Z","title_canon_sha256":"edbd029a7b34b28419bf184dcbc22a0678ac8cc48040abfa650303182ccc994d"},"schema_version":"1.0","source":{"id":"1010.1734","kind":"arxiv","version":1}},"canonical_sha256":"5eb09748e8089620e0ad23105fe28cadd6f7ec75fa4b3ccfadbe5bcd8481cd2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5eb09748e8089620e0ad23105fe28cadd6f7ec75fa4b3ccfadbe5bcd8481cd2b","first_computed_at":"2026-05-18T04:30:12.114930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:12.114930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"McY+HFMD2U1CT0EgZbRlwiiiY21U4BYk4/s7F713xcIZ2wyEnEqTJi9snyG5T39OeSYu8/uCjaUp8C/rsFb4Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:12.115725Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1734","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35b50ce1b0648d54475d556bfb6f84155f451a0f4fcc76ec08a4b3806f9ec337","sha256:629f09893c6c2d342e8b2a94db0efebb9074305d52a39fbc3265c0295fd61611"],"state_sha256":"c86ab137f6511df2b82059e568916b522059f6b78828a3411012ac9d50c70008"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bKQBM9pBRy/sD8PMCjJXTm3LAIMymUHrCMZZ7SAoJ4yHbGnD+QYTNh66Rsuat0CsVlGiwweEi2qyLhipdZ24CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T08:18:24.678753Z","bundle_sha256":"beec127c41f52df667de9638ba7e35a74870445b40edc67fad92daf5f7f7d1f2"}}