{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:MPIMYNOVC3CAGTVAKJPMNV6QBO","short_pith_number":"pith:MPIMYNOV","canonical_record":{"source":{"id":"1510.09060","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-30T12:43:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f98a2ec9bb0a5553cddd0bd1288bfe8c4d3aad80f30b144fea4638ca136e1398","abstract_canon_sha256":"e430df472071098aa1681f5795c7242e5e6b15781d7fb256d4c4863b4ee41b35"},"schema_version":"1.0"},"canonical_sha256":"63d0cc35d516c4034ea0525ec6d7d00b85f7a3a04a8b026458019e4054935b43","source":{"kind":"arxiv","id":"1510.09060","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.09060","created_at":"2026-05-18T01:16:47Z"},{"alias_kind":"arxiv_version","alias_value":"1510.09060v2","created_at":"2026-05-18T01:16:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.09060","created_at":"2026-05-18T01:16:47Z"},{"alias_kind":"pith_short_12","alias_value":"MPIMYNOVC3CA","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MPIMYNOVC3CAGTVA","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MPIMYNOV","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:MPIMYNOVC3CAGTVAKJPMNV6QBO","target":"record","payload":{"canonical_record":{"source":{"id":"1510.09060","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-30T12:43:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f98a2ec9bb0a5553cddd0bd1288bfe8c4d3aad80f30b144fea4638ca136e1398","abstract_canon_sha256":"e430df472071098aa1681f5795c7242e5e6b15781d7fb256d4c4863b4ee41b35"},"schema_version":"1.0"},"canonical_sha256":"63d0cc35d516c4034ea0525ec6d7d00b85f7a3a04a8b026458019e4054935b43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:47.679524Z","signature_b64":"37G+oIJ3NT6J4Gpk3UMBaL8aueaJEBSAJJYiuHP9pQ/pobRJ53IJrnHazDIgGJa9RGDAB03eJ3vIbKMPXQsEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63d0cc35d516c4034ea0525ec6d7d00b85f7a3a04a8b026458019e4054935b43","last_reissued_at":"2026-05-18T01:16:47.678912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:47.678912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.09060","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":"2026-05-18T01:16:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KEXNus0f5MxMxcpY4Buz/hn27bBAXrVFRQ7a706n+YHB3ExJa6kxCMzROtELh7Pv7CwGuA/8AqYyqFirlNKBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:21:36.128882Z"},"content_sha256":"084fa196b53dddbd6669e4c1029dd24610f11c76688a36ae52e53b402e381202","schema_version":"1.0","event_id":"sha256:084fa196b53dddbd6669e4c1029dd24610f11c76688a36ae52e53b402e381202"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:MPIMYNOVC3CAGTVAKJPMNV6QBO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Irregular conformal block, spectral curve and flow equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Chaiho Rim, Hong Zhang, Sang Kwan Choi","submitted_at":"2015-10-30T12:43:04Z","abstract_excerpt":"Irregular conformal block is motivated by the Argyres-Douglas type of N=2 super conformal gauge theory. We investigate the classical/NS limit of the irregular conformal block using spectral curve on a Riemann surface with irregular punctures, which is equivalent to the loop equation of irregular matrix model. The spectral curve is reduced to the second order (Virasoro symmetry, $SU(2)$ for the gauge theory) and third order ($W_3$ symmetry, $SU(3)$) differential equations of a polynomial with finite degree. The Virasoro and W symmetry generate flow equations in the spectral curve and determine "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.09060","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":"2026-05-18T01:16:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xpxSYLF3oosWvtXJdadfjaPLpXFqd4qxpjFX40ubNDb8xN/w1xdFUa9FXBX2o45bPQAVihSaVw3XrUtF0E5SAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:21:36.129423Z"},"content_sha256":"407c76ee98293d330ee3c2374b779a1adab48b54fd5844d76be83f61aad32254","schema_version":"1.0","event_id":"sha256:407c76ee98293d330ee3c2374b779a1adab48b54fd5844d76be83f61aad32254"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/bundle.json","state_url":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/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":"2026-06-02T01:21:36Z","links":{"resolver":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO","bundle":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/bundle.json","state":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MPIMYNOVC3CAGTVAKJPMNV6QBO","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":"e430df472071098aa1681f5795c7242e5e6b15781d7fb256d4c4863b4ee41b35","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-30T12:43:04Z","title_canon_sha256":"f98a2ec9bb0a5553cddd0bd1288bfe8c4d3aad80f30b144fea4638ca136e1398"},"schema_version":"1.0","source":{"id":"1510.09060","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.09060","created_at":"2026-05-18T01:16:47Z"},{"alias_kind":"arxiv_version","alias_value":"1510.09060v2","created_at":"2026-05-18T01:16:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.09060","created_at":"2026-05-18T01:16:47Z"},{"alias_kind":"pith_short_12","alias_value":"MPIMYNOVC3CA","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MPIMYNOVC3CAGTVA","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MPIMYNOV","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:407c76ee98293d330ee3c2374b779a1adab48b54fd5844d76be83f61aad32254","target":"graph","created_at":"2026-05-18T01:16:47Z","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":"Irregular conformal block is motivated by the Argyres-Douglas type of N=2 super conformal gauge theory. We investigate the classical/NS limit of the irregular conformal block using spectral curve on a Riemann surface with irregular punctures, which is equivalent to the loop equation of irregular matrix model. The spectral curve is reduced to the second order (Virasoro symmetry, $SU(2)$ for the gauge theory) and third order ($W_3$ symmetry, $SU(3)$) differential equations of a polynomial with finite degree. The Virasoro and W symmetry generate flow equations in the spectral curve and determine ","authors_text":"Chaiho Rim, Hong Zhang, Sang Kwan Choi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-30T12:43:04Z","title":"Irregular conformal block, spectral curve and flow equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.09060","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":"sha256:084fa196b53dddbd6669e4c1029dd24610f11c76688a36ae52e53b402e381202","target":"record","created_at":"2026-05-18T01:16:47Z","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":"e430df472071098aa1681f5795c7242e5e6b15781d7fb256d4c4863b4ee41b35","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-30T12:43:04Z","title_canon_sha256":"f98a2ec9bb0a5553cddd0bd1288bfe8c4d3aad80f30b144fea4638ca136e1398"},"schema_version":"1.0","source":{"id":"1510.09060","kind":"arxiv","version":2}},"canonical_sha256":"63d0cc35d516c4034ea0525ec6d7d00b85f7a3a04a8b026458019e4054935b43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63d0cc35d516c4034ea0525ec6d7d00b85f7a3a04a8b026458019e4054935b43","first_computed_at":"2026-05-18T01:16:47.678912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:47.678912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"37G+oIJ3NT6J4Gpk3UMBaL8aueaJEBSAJJYiuHP9pQ/pobRJ53IJrnHazDIgGJa9RGDAB03eJ3vIbKMPXQsEAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:47.679524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.09060","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:084fa196b53dddbd6669e4c1029dd24610f11c76688a36ae52e53b402e381202","sha256:407c76ee98293d330ee3c2374b779a1adab48b54fd5844d76be83f61aad32254"],"state_sha256":"2e9563005c8b3363a6305197ac0230945c705025b7e30d5102255d01623272a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EkmZwIFyz/gE3B74Oi/VT0n41j0YcN0YMBl3lMJ1d3Q/czAPH7nNwO7xMzAd08DxZvTD7jv34Gv32eAc+Bg4Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:21:36.132249Z","bundle_sha256":"d9f0f8ed45d6e175158b3b64bd8d48f4678279195c03f780efde61aa4bc96d79"}}