{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:US5THWBAPERBKMG6PI4A35HSCI","short_pith_number":"pith:US5THWBA","canonical_record":{"source":{"id":"1303.2480","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-11T10:44:07Z","cross_cats_sorted":[],"title_canon_sha256":"8ac5f0f4fac7159c38e275bbbeb9fd6710d12f9fdecba7bfc1651dc4c70219e8","abstract_canon_sha256":"4f238cb03c7611a00d6ab97a93bebaffd0f20a6710ae0bc2ffd9975bf1e7e828"},"schema_version":"1.0"},"canonical_sha256":"a4bb33d82079221530de7a380df4f21210e277461b70fd6e546d610bf6bdcc92","source":{"kind":"arxiv","id":"1303.2480","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2480","created_at":"2026-05-18T00:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2480v3","created_at":"2026-05-18T00:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2480","created_at":"2026-05-18T00:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"US5THWBAPERB","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"US5THWBAPERBKMG6","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"US5THWBA","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:US5THWBAPERBKMG6PI4A35HSCI","target":"record","payload":{"canonical_record":{"source":{"id":"1303.2480","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-11T10:44:07Z","cross_cats_sorted":[],"title_canon_sha256":"8ac5f0f4fac7159c38e275bbbeb9fd6710d12f9fdecba7bfc1651dc4c70219e8","abstract_canon_sha256":"4f238cb03c7611a00d6ab97a93bebaffd0f20a6710ae0bc2ffd9975bf1e7e828"},"schema_version":"1.0"},"canonical_sha256":"a4bb33d82079221530de7a380df4f21210e277461b70fd6e546d610bf6bdcc92","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:10.093394Z","signature_b64":"o7etbqFxxNAMtOdzqcqPKqPizGl2tfnhUZKUNMD2SsHJBrZLS5Uz0bJhpaGK2vJiPkNvtd9WqPCjMwvmi4YhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4bb33d82079221530de7a380df4f21210e277461b70fd6e546d610bf6bdcc92","last_reissued_at":"2026-05-18T00:18:10.092798Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:10.092798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.2480","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J67W8P8Ublmq0p76+IN3n8RMiCGjIJIrV6uZYBSdpkw2L0KELQ6uPK0GA6a8j4s77P0SM2qftrH72JDP6b+rAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:21:22.548337Z"},"content_sha256":"a8381c12200964993739c95febc8893ed35b22a2eec7794d9642b6a8c34d05d6","schema_version":"1.0","event_id":"sha256:a8381c12200964993739c95febc8893ed35b22a2eec7794d9642b6a8c34d05d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:US5THWBAPERBKMG6PI4A35HSCI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compact moduli spaces for slope-semistable sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Greb, Matei Toma","submitted_at":"2013-03-11T10:44:07Z","abstract_excerpt":"We resolve pathological wall-crossing phenomena for moduli spaces of sheaves on higher-dimensional base manifolds. This is achieved by considering slope-semistability with respect to movable curves rather than divisors. Moreover, given a projective n-fold and a curve C that arises as the complete intersection of n-1 very ample divisors, we construct a modular compactification of the moduli space of vector bundles that are slope-stable with respect to C. Our construction generalises the algebro-geometric construction of the Donaldson-Uhlenbeck compactification by Joseph Le Potier and Jun Li. Fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2480","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"36VTb/GqwwjJVs3S+siY2ga3I4KYs24a4gsGB/RBKn9M5IXGOPXbNaCsqg/YSzNsGO4qtzRHmiOLA3YChCybDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:21:22.548689Z"},"content_sha256":"d4cde6e4a164d0edd59747ce2be0409e356b66ee27db0f0a13d9757235f0246a","schema_version":"1.0","event_id":"sha256:d4cde6e4a164d0edd59747ce2be0409e356b66ee27db0f0a13d9757235f0246a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/US5THWBAPERBKMG6PI4A35HSCI/bundle.json","state_url":"https://pith.science/pith/US5THWBAPERBKMG6PI4A35HSCI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/US5THWBAPERBKMG6PI4A35HSCI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T22:21:22Z","links":{"resolver":"https://pith.science/pith/US5THWBAPERBKMG6PI4A35HSCI","bundle":"https://pith.science/pith/US5THWBAPERBKMG6PI4A35HSCI/bundle.json","state":"https://pith.science/pith/US5THWBAPERBKMG6PI4A35HSCI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/US5THWBAPERBKMG6PI4A35HSCI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:US5THWBAPERBKMG6PI4A35HSCI","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":"4f238cb03c7611a00d6ab97a93bebaffd0f20a6710ae0bc2ffd9975bf1e7e828","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-11T10:44:07Z","title_canon_sha256":"8ac5f0f4fac7159c38e275bbbeb9fd6710d12f9fdecba7bfc1651dc4c70219e8"},"schema_version":"1.0","source":{"id":"1303.2480","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2480","created_at":"2026-05-18T00:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2480v3","created_at":"2026-05-18T00:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2480","created_at":"2026-05-18T00:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"US5THWBAPERB","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"US5THWBAPERBKMG6","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"US5THWBA","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:d4cde6e4a164d0edd59747ce2be0409e356b66ee27db0f0a13d9757235f0246a","target":"graph","created_at":"2026-05-18T00:18:10Z","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":"We resolve pathological wall-crossing phenomena for moduli spaces of sheaves on higher-dimensional base manifolds. This is achieved by considering slope-semistability with respect to movable curves rather than divisors. Moreover, given a projective n-fold and a curve C that arises as the complete intersection of n-1 very ample divisors, we construct a modular compactification of the moduli space of vector bundles that are slope-stable with respect to C. Our construction generalises the algebro-geometric construction of the Donaldson-Uhlenbeck compactification by Joseph Le Potier and Jun Li. Fu","authors_text":"Daniel Greb, Matei Toma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-11T10:44:07Z","title":"Compact moduli spaces for slope-semistable sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2480","kind":"arxiv","version":3},"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:a8381c12200964993739c95febc8893ed35b22a2eec7794d9642b6a8c34d05d6","target":"record","created_at":"2026-05-18T00:18:10Z","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":"4f238cb03c7611a00d6ab97a93bebaffd0f20a6710ae0bc2ffd9975bf1e7e828","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-11T10:44:07Z","title_canon_sha256":"8ac5f0f4fac7159c38e275bbbeb9fd6710d12f9fdecba7bfc1651dc4c70219e8"},"schema_version":"1.0","source":{"id":"1303.2480","kind":"arxiv","version":3}},"canonical_sha256":"a4bb33d82079221530de7a380df4f21210e277461b70fd6e546d610bf6bdcc92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4bb33d82079221530de7a380df4f21210e277461b70fd6e546d610bf6bdcc92","first_computed_at":"2026-05-18T00:18:10.092798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:10.092798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o7etbqFxxNAMtOdzqcqPKqPizGl2tfnhUZKUNMD2SsHJBrZLS5Uz0bJhpaGK2vJiPkNvtd9WqPCjMwvmi4YhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:10.093394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2480","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8381c12200964993739c95febc8893ed35b22a2eec7794d9642b6a8c34d05d6","sha256:d4cde6e4a164d0edd59747ce2be0409e356b66ee27db0f0a13d9757235f0246a"],"state_sha256":"d80f591bccf6cf1caab4af18cc3cbb5465495e107cc68db28ba048335594eb7d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pIhpwO5ZbBMPALUS5PhbiKvONlxlnaKyWUBE6fBRnPP5EYPFLJPsoj7LCj5dYUdDiVJtK6EfCZ9OjgMEj8RXBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:21:22.550699Z","bundle_sha256":"3a2c7b842c71db3497e25cfd3aad88ec546c9b6436442d5ef5b39d72d8375c76"}}