{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GFNNSPMMDW43GZPXXGWYWM7TLK","short_pith_number":"pith:GFNNSPMM","schema_version":"1.0","canonical_sha256":"315ad93d8c1db9b365f7b9ad8b33f35abc846f586a9925380ce189139c8a3825","source":{"kind":"arxiv","id":"1512.02661","version":2},"attestation_state":"computed","paper":{"title":"The nef cone of the moduli space of sheaves and strong Bogomolov inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Izzet Coskun, Jack Huizenga","submitted_at":"2015-12-08T21:06:15Z","abstract_excerpt":"Let (X,H) be a polarized, smooth, complex projective surface, and let v be a Chern character on X with positive rank and sufficiently large discriminant. In this paper, we compute the Gieseker wall for v in a slice of the stability manifold of X. We construct explicit curves parameterizing non-isomorphic Gieseker stable sheaves that become S-equivalent along the wall. As a corollary, we conclude that if there are no strictly semistable sheaves of character v, the Bayer-Macri divisor associated to the wall is a boundary nef divisor on the moduli space of sheaves M_H(v). We recover previous resu"},"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":"1512.02661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-08T21:06:15Z","cross_cats_sorted":[],"title_canon_sha256":"6c4c0d5f57639867c80f8e1c01952505d1817ebca7fd287b3d497c4a96429dcd","abstract_canon_sha256":"2536213fa962da054fd08d49ff8524bd987719b0f0b95cba453eb3dceef4b6f3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:19.181272Z","signature_b64":"bEOoGnw4VQlbKUQ2UZJd6xQmLJ9EakKSwypfb6eWsBtE4GwsrMJS9G9kiC2eDdK9CGvDX6ByTJRJqukHp8aQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"315ad93d8c1db9b365f7b9ad8b33f35abc846f586a9925380ce189139c8a3825","last_reissued_at":"2026-05-18T01:19:19.180856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:19.180856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The nef cone of the moduli space of sheaves and strong Bogomolov inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Izzet Coskun, Jack Huizenga","submitted_at":"2015-12-08T21:06:15Z","abstract_excerpt":"Let (X,H) be a polarized, smooth, complex projective surface, and let v be a Chern character on X with positive rank and sufficiently large discriminant. In this paper, we compute the Gieseker wall for v in a slice of the stability manifold of X. We construct explicit curves parameterizing non-isomorphic Gieseker stable sheaves that become S-equivalent along the wall. As a corollary, we conclude that if there are no strictly semistable sheaves of character v, the Bayer-Macri divisor associated to the wall is a boundary nef divisor on the moduli space of sheaves M_H(v). We recover previous resu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02661","kind":"arxiv","version":2},"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":"1512.02661","created_at":"2026-05-18T01:19:19.180920+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.02661v2","created_at":"2026-05-18T01:19:19.180920+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02661","created_at":"2026-05-18T01:19:19.180920+00:00"},{"alias_kind":"pith_short_12","alias_value":"GFNNSPMMDW43","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GFNNSPMMDW43GZPX","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GFNNSPMM","created_at":"2026-05-18T12:29:22.688609+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/GFNNSPMMDW43GZPXXGWYWM7TLK","json":"https://pith.science/pith/GFNNSPMMDW43GZPXXGWYWM7TLK.json","graph_json":"https://pith.science/api/pith-number/GFNNSPMMDW43GZPXXGWYWM7TLK/graph.json","events_json":"https://pith.science/api/pith-number/GFNNSPMMDW43GZPXXGWYWM7TLK/events.json","paper":"https://pith.science/paper/GFNNSPMM"},"agent_actions":{"view_html":"https://pith.science/pith/GFNNSPMMDW43GZPXXGWYWM7TLK","download_json":"https://pith.science/pith/GFNNSPMMDW43GZPXXGWYWM7TLK.json","view_paper":"https://pith.science/paper/GFNNSPMM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.02661&json=true","fetch_graph":"https://pith.science/api/pith-number/GFNNSPMMDW43GZPXXGWYWM7TLK/graph.json","fetch_events":"https://pith.science/api/pith-number/GFNNSPMMDW43GZPXXGWYWM7TLK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GFNNSPMMDW43GZPXXGWYWM7TLK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GFNNSPMMDW43GZPXXGWYWM7TLK/action/storage_attestation","attest_author":"https://pith.science/pith/GFNNSPMMDW43GZPXXGWYWM7TLK/action/author_attestation","sign_citation":"https://pith.science/pith/GFNNSPMMDW43GZPXXGWYWM7TLK/action/citation_signature","submit_replication":"https://pith.science/pith/GFNNSPMMDW43GZPXXGWYWM7TLK/action/replication_record"}},"created_at":"2026-05-18T01:19:19.180920+00:00","updated_at":"2026-05-18T01:19:19.180920+00:00"}