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In particular, we classify all instanton sheaves with $c_2(E)\\le4$, describing all the irreducible components of their moduli space. A key ingredient for our argument is the study of the moduli space ${\\mathcal T}(d)$ of stable sheaves on $\\mathbb{P}^3$ with Hilbert polynomial $P(t)=d\\cdot t$, which contains, as an open subset, the moduli space of rank 0 instanton sheaves of multiplicity $d$; we desc"},"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":"1702.06553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-02-21T19:14:37Z","cross_cats_sorted":[],"title_canon_sha256":"9771e11d6cb8209ca1cd78ac46b2c120ed20a525ad11e571b92740ca366dda3a","abstract_canon_sha256":"d37aef6264e78271f93bb76795267c5ca308d52299056752229e60dfc607062f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:56.681911Z","signature_b64":"z3h24vKTaaFSZb6ACDca1yy+p85RPYQZXoEyqjsi7xpxN7bASClXTL+K8H9t7oZVPnnTYK8sLnHr2j0IuS9FBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff3658d9177fc30e3fef2f113e3f7041a6b5fe7fc09e34d684df2eb85ac178ab","last_reissued_at":"2026-05-18T00:20:56.681417Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:56.681417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moduli spaces of rank 2 instanton sheaves on the projective space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander S. Tikhomirov, Marcos Jardim, Mario Maican","submitted_at":"2017-02-21T19:14:37Z","abstract_excerpt":"We study the irreducible components of the moduli space of instanton sheaves on $\\mathbb{P}^3$, that is rank 2 torsion free sheaves $E$ with $c_1(E)=c_3(E)=0$ satisfying $h^1(E(-2))=h^2(E(-2))=0$. In particular, we classify all instanton sheaves with $c_2(E)\\le4$, describing all the irreducible components of their moduli space. A key ingredient for our argument is the study of the moduli space ${\\mathcal T}(d)$ of stable sheaves on $\\mathbb{P}^3$ with Hilbert polynomial $P(t)=d\\cdot t$, which contains, as an open subset, the moduli space of rank 0 instanton sheaves of multiplicity $d$; we desc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06553","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":"1702.06553","created_at":"2026-05-18T00:20:56.681498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.06553v1","created_at":"2026-05-18T00:20:56.681498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06553","created_at":"2026-05-18T00:20:56.681498+00:00"},{"alias_kind":"pith_short_12","alias_value":"743FRWIXP7BQ","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"743FRWIXP7BQ4P7P","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"743FRWIX","created_at":"2026-05-18T12:31:03.183658+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/743FRWIXP7BQ4P7PF4IT4P3QIG","json":"https://pith.science/pith/743FRWIXP7BQ4P7PF4IT4P3QIG.json","graph_json":"https://pith.science/api/pith-number/743FRWIXP7BQ4P7PF4IT4P3QIG/graph.json","events_json":"https://pith.science/api/pith-number/743FRWIXP7BQ4P7PF4IT4P3QIG/events.json","paper":"https://pith.science/paper/743FRWIX"},"agent_actions":{"view_html":"https://pith.science/pith/743FRWIXP7BQ4P7PF4IT4P3QIG","download_json":"https://pith.science/pith/743FRWIXP7BQ4P7PF4IT4P3QIG.json","view_paper":"https://pith.science/paper/743FRWIX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.06553&json=true","fetch_graph":"https://pith.science/api/pith-number/743FRWIXP7BQ4P7PF4IT4P3QIG/graph.json","fetch_events":"https://pith.science/api/pith-number/743FRWIXP7BQ4P7PF4IT4P3QIG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/743FRWIXP7BQ4P7PF4IT4P3QIG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/743FRWIXP7BQ4P7PF4IT4P3QIG/action/storage_attestation","attest_author":"https://pith.science/pith/743FRWIXP7BQ4P7PF4IT4P3QIG/action/author_attestation","sign_citation":"https://pith.science/pith/743FRWIXP7BQ4P7PF4IT4P3QIG/action/citation_signature","submit_replication":"https://pith.science/pith/743FRWIXP7BQ4P7PF4IT4P3QIG/action/replication_record"}},"created_at":"2026-05-18T00:20:56.681498+00:00","updated_at":"2026-05-18T00:20:56.681498+00:00"}