{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CPOEX26FJ56IAIZSQAIJKTK6HB","short_pith_number":"pith:CPOEX26F","schema_version":"1.0","canonical_sha256":"13dc4bebc54f7c8023328010954d5e3860a3592cb0e3eb8f2f35ab1fa6b05b45","source":{"kind":"arxiv","id":"1604.08366","version":3},"attestation_state":"computed","paper":{"title":"Explicit examples of DIM constraints for network matrix models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexei Morozov, Andrei Mironov, Andrey Morozov, Hidetoshi Awata, Hiroaki Kanno, Takuya Matsumoto, Yegor Zenkevich, Yusuke Ohkubo","submitted_at":"2016-04-28T10:23:21Z","abstract_excerpt":"Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This lifting is especially simple for what we call balanced networks. Then, the Ward identities (known under the names of Virasoro/W-constraints or loop equations or regularity condition for qq-characters) are also promoted to the DIM level, where they all become corollaries of a single identity."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1604.08366","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-28T10:23:21Z","cross_cats_sorted":[],"title_canon_sha256":"9d8c6423918229b5c041115d8ddd2adee35d4bb28dd80d976b5bc2e73d4d43db","abstract_canon_sha256":"851b92ac58ac83163107131004ea9b71b9125b3ab836a36e4ddce74a7b87ae50"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:04.357355Z","signature_b64":"1yb08h4b8OJnVnIc0NhtZ9ByROHBAX2PdK309/Xmz07juhK0f1AWh2IoW9eMuQdLKJQgxtyMUDpryXTbmG7vAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13dc4bebc54f7c8023328010954d5e3860a3592cb0e3eb8f2f35ab1fa6b05b45","last_reissued_at":"2026-05-18T00:56:04.356851Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:04.356851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Explicit examples of DIM constraints for network matrix models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexei Morozov, Andrei Mironov, Andrey Morozov, Hidetoshi Awata, Hiroaki Kanno, Takuya Matsumoto, Yegor Zenkevich, Yusuke Ohkubo","submitted_at":"2016-04-28T10:23:21Z","abstract_excerpt":"Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This lifting is especially simple for what we call balanced networks. Then, the Ward identities (known under the names of Virasoro/W-constraints or loop equations or regularity condition for qq-characters) are also promoted to the DIM level, where they all become corollaries of a single identity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08366","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.08366","created_at":"2026-05-18T00:56:04.356930+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.08366v3","created_at":"2026-05-18T00:56:04.356930+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.08366","created_at":"2026-05-18T00:56:04.356930+00:00"},{"alias_kind":"pith_short_12","alias_value":"CPOEX26FJ56I","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CPOEX26FJ56IAIZS","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CPOEX26F","created_at":"2026-05-18T12:30:09.641336+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CPOEX26FJ56IAIZSQAIJKTK6HB","json":"https://pith.science/pith/CPOEX26FJ56IAIZSQAIJKTK6HB.json","graph_json":"https://pith.science/api/pith-number/CPOEX26FJ56IAIZSQAIJKTK6HB/graph.json","events_json":"https://pith.science/api/pith-number/CPOEX26FJ56IAIZSQAIJKTK6HB/events.json","paper":"https://pith.science/paper/CPOEX26F"},"agent_actions":{"view_html":"https://pith.science/pith/CPOEX26FJ56IAIZSQAIJKTK6HB","download_json":"https://pith.science/pith/CPOEX26FJ56IAIZSQAIJKTK6HB.json","view_paper":"https://pith.science/paper/CPOEX26F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.08366&json=true","fetch_graph":"https://pith.science/api/pith-number/CPOEX26FJ56IAIZSQAIJKTK6HB/graph.json","fetch_events":"https://pith.science/api/pith-number/CPOEX26FJ56IAIZSQAIJKTK6HB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CPOEX26FJ56IAIZSQAIJKTK6HB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CPOEX26FJ56IAIZSQAIJKTK6HB/action/storage_attestation","attest_author":"https://pith.science/pith/CPOEX26FJ56IAIZSQAIJKTK6HB/action/author_attestation","sign_citation":"https://pith.science/pith/CPOEX26FJ56IAIZSQAIJKTK6HB/action/citation_signature","submit_replication":"https://pith.science/pith/CPOEX26FJ56IAIZSQAIJKTK6HB/action/replication_record"}},"created_at":"2026-05-18T00:56:04.356930+00:00","updated_at":"2026-05-18T00:56:04.356930+00:00"}