{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3FAFVMKJQOEWG3H64DKBHLM3CX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b590e89ce12b9d3e9fa8e969ccb224d310dd732fe8f1d463bb22a7845ad869bc","cross_cats_sorted":["math.AG","math.AT","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-07T21:22:10Z","title_canon_sha256":"42b081b04c6a53fc750b91ebfe9e0bb4b620f466bb68bdc8d9011d134df6e9c9"},"schema_version":"1.0","source":{"id":"1501.01651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01651","created_at":"2026-05-18T02:29:46Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01651v1","created_at":"2026-05-18T02:29:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01651","created_at":"2026-05-18T02:29:46Z"},{"alias_kind":"pith_short_12","alias_value":"3FAFVMKJQOEW","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3FAFVMKJQOEWG3H6","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3FAFVMKJ","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:790fd38c3879d2036cbbbaf9796e8db577ea02df8df61577ff08ef1a76b16487","target":"graph","created_at":"2026-05-18T02:29:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let $\\mathcal{M}^{\\mathrm{st}}$ ($\\mathcal{M}^{\\mathrm{pst}}$) be a moduli space of stable (polystable) bundles with fixed determinant on a complex surface with $b_1=1$, $p_g=0$, and let $Z\\subset \\mathcal{M}^{\\mathrm{st}}$ be a pure $k$-dimensional analytic set. We prove a general formula for the homological boundary $\\delta[Z]^{BM}\\in H_{2k-1}^{BM}(\\partial\\hat{\\mathcal M}^{\\mathrm{pst}},\\mathbb{Z})$ of the Borel-Moore fundamental class of $Z$ in the boundary of the blow up moduli space $\\hat {\\mathcal M}^{\\mathrm{pst}}$. The proof is based on the holomorphic model theorem (proved in a previ","authors_text":"Andrei Teleman","cross_cats":["math.AG","math.AT","math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-07T21:22:10Z","title":"Analytic cycles in flip passages and in instanton moduli spaces over non-K\\\"ahlerian surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01651","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1bfe54c0963b12647d06fe8602caf609829bdbac03ca9436121335a7dc677acc","target":"record","created_at":"2026-05-18T02:29:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b590e89ce12b9d3e9fa8e969ccb224d310dd732fe8f1d463bb22a7845ad869bc","cross_cats_sorted":["math.AG","math.AT","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-07T21:22:10Z","title_canon_sha256":"42b081b04c6a53fc750b91ebfe9e0bb4b620f466bb68bdc8d9011d134df6e9c9"},"schema_version":"1.0","source":{"id":"1501.01651","kind":"arxiv","version":1}},"canonical_sha256":"d9405ab1498389636cfee0d413ad9b15d4b3f42479f13e3d6243b634ce51751a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9405ab1498389636cfee0d413ad9b15d4b3f42479f13e3d6243b634ce51751a","first_computed_at":"2026-05-18T02:29:46.743813Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:46.743813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q8PfHpq50dKSmciL+W8tlsCRWdzaGx1rBOKS5Ay83oGQ503wjgT7i4SraovDwhfVL/EVto05nUtaays2uPwVAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:46.744378Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bfe54c0963b12647d06fe8602caf609829bdbac03ca9436121335a7dc677acc","sha256:790fd38c3879d2036cbbbaf9796e8db577ea02df8df61577ff08ef1a76b16487"],"state_sha256":"205d4116a2e7b60a77b13214d7fd64e4f8dfebe9a55fd5255f1abefd978e5b02"}