{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6JNYSSS6N3GBANA36VPUWXRIBM","short_pith_number":"pith:6JNYSSS6","schema_version":"1.0","canonical_sha256":"f25b894a5e6ecc10341bf55f4b5e280b36e30a2bd75db85b999acf97d9a07934","source":{"kind":"arxiv","id":"1504.06689","version":3},"attestation_state":"computed","paper":{"title":"Moduli spaces of 1-dimensional semi-stable sheaves and Strange duality on $\\mathbb{P}^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yao Yuan","submitted_at":"2015-04-25T06:34:45Z","abstract_excerpt":"We study Le Potier's strange duality conjecture on $\\mathbb{P}^2$. We show the conjecture is true for the pair ($W(2,0,2),~M(d,0)$) with $d>0$, where $W(2,0,2)$ is the moduli space of semistable sheaves of rank 2, zero first Chern class and second Chern class 2, and $M(d,0)$ is the moduli space of 1-dimensional semistable sheaves of first Chern class $dH$ and Euler characteristic 0."},"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":"1504.06689","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-25T06:34:45Z","cross_cats_sorted":[],"title_canon_sha256":"7eaf5ccf1348b2eba2cae2c0fde4f1f9a3736d8a280cc24ac53713f150cfcab2","abstract_canon_sha256":"a50ddff906065d6d2bb96fbd5baa77f1da323bccb6df2b5ea0fe55d91a807833"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:39.802820Z","signature_b64":"cckn9Qehf4mlTpm1hfMBDspusoOvJ27MXRzi8a42wLOHVxdeMi1mIYVY5vEQgz0QYZqBrr/zKHGD3yUOHDmPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f25b894a5e6ecc10341bf55f4b5e280b36e30a2bd75db85b999acf97d9a07934","last_reissued_at":"2026-05-18T00:42:39.802171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:39.802171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moduli spaces of 1-dimensional semi-stable sheaves and Strange duality on $\\mathbb{P}^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yao Yuan","submitted_at":"2015-04-25T06:34:45Z","abstract_excerpt":"We study Le Potier's strange duality conjecture on $\\mathbb{P}^2$. We show the conjecture is true for the pair ($W(2,0,2),~M(d,0)$) with $d>0$, where $W(2,0,2)$ is the moduli space of semistable sheaves of rank 2, zero first Chern class and second Chern class 2, and $M(d,0)$ is the moduli space of 1-dimensional semistable sheaves of first Chern class $dH$ and Euler characteristic 0."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06689","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":"1504.06689","created_at":"2026-05-18T00:42:39.802268+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.06689v3","created_at":"2026-05-18T00:42:39.802268+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06689","created_at":"2026-05-18T00:42:39.802268+00:00"},{"alias_kind":"pith_short_12","alias_value":"6JNYSSS6N3GB","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6JNYSSS6N3GBANA3","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6JNYSSS6","created_at":"2026-05-18T12:29:07.941421+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/6JNYSSS6N3GBANA36VPUWXRIBM","json":"https://pith.science/pith/6JNYSSS6N3GBANA36VPUWXRIBM.json","graph_json":"https://pith.science/api/pith-number/6JNYSSS6N3GBANA36VPUWXRIBM/graph.json","events_json":"https://pith.science/api/pith-number/6JNYSSS6N3GBANA36VPUWXRIBM/events.json","paper":"https://pith.science/paper/6JNYSSS6"},"agent_actions":{"view_html":"https://pith.science/pith/6JNYSSS6N3GBANA36VPUWXRIBM","download_json":"https://pith.science/pith/6JNYSSS6N3GBANA36VPUWXRIBM.json","view_paper":"https://pith.science/paper/6JNYSSS6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.06689&json=true","fetch_graph":"https://pith.science/api/pith-number/6JNYSSS6N3GBANA36VPUWXRIBM/graph.json","fetch_events":"https://pith.science/api/pith-number/6JNYSSS6N3GBANA36VPUWXRIBM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6JNYSSS6N3GBANA36VPUWXRIBM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6JNYSSS6N3GBANA36VPUWXRIBM/action/storage_attestation","attest_author":"https://pith.science/pith/6JNYSSS6N3GBANA36VPUWXRIBM/action/author_attestation","sign_citation":"https://pith.science/pith/6JNYSSS6N3GBANA36VPUWXRIBM/action/citation_signature","submit_replication":"https://pith.science/pith/6JNYSSS6N3GBANA36VPUWXRIBM/action/replication_record"}},"created_at":"2026-05-18T00:42:39.802268+00:00","updated_at":"2026-05-18T00:42:39.802268+00:00"}