{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LUWX4V5KOGMOSJYLD7W2EV7CXM","short_pith_number":"pith:LUWX4V5K","schema_version":"1.0","canonical_sha256":"5d2d7e57aa7198e9270b1feda257e2bb3cca1c68aca1b8c167902b7a00da8150","source":{"kind":"arxiv","id":"1304.6724","version":1},"attestation_state":"computed","paper":{"title":"Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"hep-th","authors_text":"Satoshi Yamaguchi, Takahiro Nishinaka, Yutaka Yoshida","submitted_at":"2013-04-24T20:00:03Z","abstract_excerpt":"We construct a two-dimensional crystal melting model which reproduces the BPS index of D2-D0 states bound to a non-compact D4-brane on an arbitrary toric Calabi-Yau singularity. The crystalline structure depends on the toric divisor wrapped by the D4-brane. The molten crystals are in one-to-one correspondence with the torus fixed points of the moduli space of the quiver gauge theory on D-branes. The F- and D-term constraints of the gauge theory are regarded as a generalization of the ADHM constraints on instantons. We also show in several examples that our model is consistent with the wall-cro"},"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":"1304.6724","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-24T20:00:03Z","cross_cats_sorted":["math.AG","math.CO"],"title_canon_sha256":"30866281eaa32955e94cc6bf5ec8cbafe918ed1e233e6c87566691158d90de75","abstract_canon_sha256":"9414fa3e190c1f1d98472db0e8596b802d2925ba95730d4a312c77243b853314"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:22.275022Z","signature_b64":"WzjLIsrNzxCcMO5IwjJ2GdJyrhR4hi1UL0Do9YauFgu2xb9wtGWd6qpKK1YKxEohKvM7Rkvex1Re2hV+8NMnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d2d7e57aa7198e9270b1feda257e2bb3cca1c68aca1b8c167902b7a00da8150","last_reissued_at":"2026-05-18T01:50:22.274417Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:22.274417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"hep-th","authors_text":"Satoshi Yamaguchi, Takahiro Nishinaka, Yutaka Yoshida","submitted_at":"2013-04-24T20:00:03Z","abstract_excerpt":"We construct a two-dimensional crystal melting model which reproduces the BPS index of D2-D0 states bound to a non-compact D4-brane on an arbitrary toric Calabi-Yau singularity. The crystalline structure depends on the toric divisor wrapped by the D4-brane. The molten crystals are in one-to-one correspondence with the torus fixed points of the moduli space of the quiver gauge theory on D-branes. The F- and D-term constraints of the gauge theory are regarded as a generalization of the ADHM constraints on instantons. We also show in several examples that our model is consistent with the wall-cro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6724","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1304.6724","created_at":"2026-05-18T01:50:22.274499+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.6724v1","created_at":"2026-05-18T01:50:22.274499+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6724","created_at":"2026-05-18T01:50:22.274499+00:00"},{"alias_kind":"pith_short_12","alias_value":"LUWX4V5KOGMO","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LUWX4V5KOGMOSJYL","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LUWX4V5K","created_at":"2026-05-18T12:27:51.066281+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/LUWX4V5KOGMOSJYLD7W2EV7CXM","json":"https://pith.science/pith/LUWX4V5KOGMOSJYLD7W2EV7CXM.json","graph_json":"https://pith.science/api/pith-number/LUWX4V5KOGMOSJYLD7W2EV7CXM/graph.json","events_json":"https://pith.science/api/pith-number/LUWX4V5KOGMOSJYLD7W2EV7CXM/events.json","paper":"https://pith.science/paper/LUWX4V5K"},"agent_actions":{"view_html":"https://pith.science/pith/LUWX4V5KOGMOSJYLD7W2EV7CXM","download_json":"https://pith.science/pith/LUWX4V5KOGMOSJYLD7W2EV7CXM.json","view_paper":"https://pith.science/paper/LUWX4V5K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.6724&json=true","fetch_graph":"https://pith.science/api/pith-number/LUWX4V5KOGMOSJYLD7W2EV7CXM/graph.json","fetch_events":"https://pith.science/api/pith-number/LUWX4V5KOGMOSJYLD7W2EV7CXM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LUWX4V5KOGMOSJYLD7W2EV7CXM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LUWX4V5KOGMOSJYLD7W2EV7CXM/action/storage_attestation","attest_author":"https://pith.science/pith/LUWX4V5KOGMOSJYLD7W2EV7CXM/action/author_attestation","sign_citation":"https://pith.science/pith/LUWX4V5KOGMOSJYLD7W2EV7CXM/action/citation_signature","submit_replication":"https://pith.science/pith/LUWX4V5KOGMOSJYLD7W2EV7CXM/action/replication_record"}},"created_at":"2026-05-18T01:50:22.274499+00:00","updated_at":"2026-05-18T01:50:22.274499+00:00"}