{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:BY75SY6TOLUSWEEZTVH3SZ55HW","short_pith_number":"pith:BY75SY6T","schema_version":"1.0","canonical_sha256":"0e3fd963d372e92b10999d4fb967bd3d913694734c46b56fe4142d7a47ad02cf","source":{"kind":"arxiv","id":"1111.4707","version":1},"attestation_state":"computed","paper":{"title":"D0-brane realizations of the resolution of a reduced singular curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.SG"],"primary_cat":"math.AG","authors_text":"Chien-Hao Liu, Shing-Tung Yau","submitted_at":"2011-11-21T00:33:16Z","abstract_excerpt":"Based on examples from superstring/D-brane theory since the work of Douglas and Moore on resolution of singularities of a superstring target-space $Y$ via a D-brane probe, the richness and the complexity of the stack of punctual D0-branes on a variety, and as a guiding question, we lay down a conjecture that any resolution $Y^{\\prime}\\rightarrow Y$ of a variety $Y$ over ${\\Bbb C}$ can be factored through an embedding of $Y^{\\prime}$ into the stack ${\\frak M}^{0^{A z^f}_{\\;p}}_r  (Y)$ of punctual D0-branes of rank $r$ on $Y$ for $r\\ge r_0$ in ${\\Bbb N}$, where $r_0$ depends on the germ of singu"},"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":"1111.4707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-21T00:33:16Z","cross_cats_sorted":["hep-th","math.SG"],"title_canon_sha256":"7ee46e7c4668417b24e159b7cfc0eab1b97bfcd08e7735f2496566e44867d99a","abstract_canon_sha256":"3cfeb17c41bed58c92d210d0a034d373752afe1ae23709c7a7215ba5c6b38554"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:02.804414Z","signature_b64":"FllJJJAxWIdXI7rorIlz1/qlhVXUVmDU4SdS/K9ZtUyKusYH6oa4rOMqQH35iOFKaGU6DWcaM88hwEFO1JR2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e3fd963d372e92b10999d4fb967bd3d913694734c46b56fe4142d7a47ad02cf","last_reissued_at":"2026-05-18T04:08:02.803947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:02.803947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"D0-brane realizations of the resolution of a reduced singular curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.SG"],"primary_cat":"math.AG","authors_text":"Chien-Hao Liu, Shing-Tung Yau","submitted_at":"2011-11-21T00:33:16Z","abstract_excerpt":"Based on examples from superstring/D-brane theory since the work of Douglas and Moore on resolution of singularities of a superstring target-space $Y$ via a D-brane probe, the richness and the complexity of the stack of punctual D0-branes on a variety, and as a guiding question, we lay down a conjecture that any resolution $Y^{\\prime}\\rightarrow Y$ of a variety $Y$ over ${\\Bbb C}$ can be factored through an embedding of $Y^{\\prime}$ into the stack ${\\frak M}^{0^{A z^f}_{\\;p}}_r  (Y)$ of punctual D0-branes of rank $r$ on $Y$ for $r\\ge r_0$ in ${\\Bbb N}$, where $r_0$ depends on the germ of singu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4707","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":"1111.4707","created_at":"2026-05-18T04:08:02.804007+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.4707v1","created_at":"2026-05-18T04:08:02.804007+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4707","created_at":"2026-05-18T04:08:02.804007+00:00"},{"alias_kind":"pith_short_12","alias_value":"BY75SY6TOLUS","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BY75SY6TOLUSWEEZ","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BY75SY6T","created_at":"2026-05-18T12:26:24.575870+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/BY75SY6TOLUSWEEZTVH3SZ55HW","json":"https://pith.science/pith/BY75SY6TOLUSWEEZTVH3SZ55HW.json","graph_json":"https://pith.science/api/pith-number/BY75SY6TOLUSWEEZTVH3SZ55HW/graph.json","events_json":"https://pith.science/api/pith-number/BY75SY6TOLUSWEEZTVH3SZ55HW/events.json","paper":"https://pith.science/paper/BY75SY6T"},"agent_actions":{"view_html":"https://pith.science/pith/BY75SY6TOLUSWEEZTVH3SZ55HW","download_json":"https://pith.science/pith/BY75SY6TOLUSWEEZTVH3SZ55HW.json","view_paper":"https://pith.science/paper/BY75SY6T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.4707&json=true","fetch_graph":"https://pith.science/api/pith-number/BY75SY6TOLUSWEEZTVH3SZ55HW/graph.json","fetch_events":"https://pith.science/api/pith-number/BY75SY6TOLUSWEEZTVH3SZ55HW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BY75SY6TOLUSWEEZTVH3SZ55HW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BY75SY6TOLUSWEEZTVH3SZ55HW/action/storage_attestation","attest_author":"https://pith.science/pith/BY75SY6TOLUSWEEZTVH3SZ55HW/action/author_attestation","sign_citation":"https://pith.science/pith/BY75SY6TOLUSWEEZTVH3SZ55HW/action/citation_signature","submit_replication":"https://pith.science/pith/BY75SY6TOLUSWEEZTVH3SZ55HW/action/replication_record"}},"created_at":"2026-05-18T04:08:02.804007+00:00","updated_at":"2026-05-18T04:08:02.804007+00:00"}