{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TPAMYZ6JBINS7XHRRJBG3W7RS2","short_pith_number":"pith:TPAMYZ6J","schema_version":"1.0","canonical_sha256":"9bc0cc67c90a1b2fdcf18a426ddbf1968bcc2e974fd7166e76a546946ba8494c","source":{"kind":"arxiv","id":"1103.4352","version":1},"attestation_state":"computed","paper":{"title":"Mini-walls for Bridgeland stability conditions on the derived category of sheaves over surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jason Lo, Zhenbo Qin","submitted_at":"2011-03-22T19:15:30Z","abstract_excerpt":"For the derived category of bounded complexes of sheaves on a smooth projective surface, Bridgeland and Arcara-Bertram constructed Bridgeland stability conditions $(Z_m, \\mathcal P_m)$ parametrized by $m \\in (0, +\\infty)$. In this paper, we show that the set of mini-walls in $(0, +\\infty)$ of a fixed numerical type is locally finite. In addition, we strengthen a result of Bayer by proving that the moduli of polynomial Bridgeland semistable objects of a fixed numerical type coincides with the moduli of $(Z_m, \\mathcal P_m)$-semistable objects whenever $m$ is larger than a universal constant dep"},"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":"1103.4352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-22T19:15:30Z","cross_cats_sorted":[],"title_canon_sha256":"535d1d1e8f88d458389b2fe759406cefa60e74757048a757129e16f59e3695c5","abstract_canon_sha256":"44278bec4b5538d63c0cda5f00f3acc80b957a1df3f85196a54ec82bfd4ff8d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:12.479346Z","signature_b64":"iMQLsc1YafG0fkrKxRsTWSj35qD8gDoyUl8N7IGE3BrvaPVF67wKV4WJl+5lqGVxN1jNHoBENK4QUsccjH4JDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bc0cc67c90a1b2fdcf18a426ddbf1968bcc2e974fd7166e76a546946ba8494c","last_reissued_at":"2026-05-18T04:26:12.478587Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:12.478587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mini-walls for Bridgeland stability conditions on the derived category of sheaves over surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jason Lo, Zhenbo Qin","submitted_at":"2011-03-22T19:15:30Z","abstract_excerpt":"For the derived category of bounded complexes of sheaves on a smooth projective surface, Bridgeland and Arcara-Bertram constructed Bridgeland stability conditions $(Z_m, \\mathcal P_m)$ parametrized by $m \\in (0, +\\infty)$. In this paper, we show that the set of mini-walls in $(0, +\\infty)$ of a fixed numerical type is locally finite. In addition, we strengthen a result of Bayer by proving that the moduli of polynomial Bridgeland semistable objects of a fixed numerical type coincides with the moduli of $(Z_m, \\mathcal P_m)$-semistable objects whenever $m$ is larger than a universal constant dep"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4352","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":"1103.4352","created_at":"2026-05-18T04:26:12.478703+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.4352v1","created_at":"2026-05-18T04:26:12.478703+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4352","created_at":"2026-05-18T04:26:12.478703+00:00"},{"alias_kind":"pith_short_12","alias_value":"TPAMYZ6JBINS","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TPAMYZ6JBINS7XHR","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TPAMYZ6J","created_at":"2026-05-18T12:26:42.757692+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/TPAMYZ6JBINS7XHRRJBG3W7RS2","json":"https://pith.science/pith/TPAMYZ6JBINS7XHRRJBG3W7RS2.json","graph_json":"https://pith.science/api/pith-number/TPAMYZ6JBINS7XHRRJBG3W7RS2/graph.json","events_json":"https://pith.science/api/pith-number/TPAMYZ6JBINS7XHRRJBG3W7RS2/events.json","paper":"https://pith.science/paper/TPAMYZ6J"},"agent_actions":{"view_html":"https://pith.science/pith/TPAMYZ6JBINS7XHRRJBG3W7RS2","download_json":"https://pith.science/pith/TPAMYZ6JBINS7XHRRJBG3W7RS2.json","view_paper":"https://pith.science/paper/TPAMYZ6J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.4352&json=true","fetch_graph":"https://pith.science/api/pith-number/TPAMYZ6JBINS7XHRRJBG3W7RS2/graph.json","fetch_events":"https://pith.science/api/pith-number/TPAMYZ6JBINS7XHRRJBG3W7RS2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TPAMYZ6JBINS7XHRRJBG3W7RS2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TPAMYZ6JBINS7XHRRJBG3W7RS2/action/storage_attestation","attest_author":"https://pith.science/pith/TPAMYZ6JBINS7XHRRJBG3W7RS2/action/author_attestation","sign_citation":"https://pith.science/pith/TPAMYZ6JBINS7XHRRJBG3W7RS2/action/citation_signature","submit_replication":"https://pith.science/pith/TPAMYZ6JBINS7XHRRJBG3W7RS2/action/replication_record"}},"created_at":"2026-05-18T04:26:12.478703+00:00","updated_at":"2026-05-18T04:26:12.478703+00:00"}