{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:XOJS3DDFQOO4UXKUQHCEMJCXEB","short_pith_number":"pith:XOJS3DDF","schema_version":"1.0","canonical_sha256":"bb932d8c65839dca5d5481c4462457205313d8403e3f11c23f45008b0281c35a","source":{"kind":"arxiv","id":"1803.00869","version":2},"attestation_state":"computed","paper":{"title":"A perfect obstruction theory for moduli of coherent systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Giorgio Scattareggia","submitted_at":"2018-03-02T14:41:32Z","abstract_excerpt":"Let $C$ be a curve of genus $g$. A coherent system on $C$ is a pair $(E,V)$, where $E$ is a finite rank vector bundle on $C$ and $V$ is a linear subspace of the space of global sections of $E$. The type of a coherent system $(E,V)$ is a triple $(n,d,k)$, where $n$ is the rank of $E$, $d$ is the degree of $E$ and $k$ is the dimension of $V$. The notion of stability for a coherent system $(E,V)$ differs from the stability of the bundle $E$ and depends on the choice of a real parameter $\\alpha$. The moduli space of $\\alpha$-stable coherent systems of type $(n,d,k)$ has an expected dimension $\\bet"},"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":"1803.00869","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-02T14:41:32Z","cross_cats_sorted":[],"title_canon_sha256":"dcd6991ac505f134e12c0082a83f173fb2cdc4c7a3067e70fe53101597ed0121","abstract_canon_sha256":"2e11c7a6b6547ec25208dd6ef4dab6d23f8ada0b24fd039b59b13eae8d8afb97"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:50.102037Z","signature_b64":"d+HeCEE2iHQsRruvDvrviDG/+tjUXeC/4pDkyblb8tET5FNULnNfyJgtfpEDMhlhlxvyLCFnt3anvsCZLxbLBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb932d8c65839dca5d5481c4462457205313d8403e3f11c23f45008b0281c35a","last_reissued_at":"2026-05-18T00:16:50.101331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:50.101331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A perfect obstruction theory for moduli of coherent systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Giorgio Scattareggia","submitted_at":"2018-03-02T14:41:32Z","abstract_excerpt":"Let $C$ be a curve of genus $g$. A coherent system on $C$ is a pair $(E,V)$, where $E$ is a finite rank vector bundle on $C$ and $V$ is a linear subspace of the space of global sections of $E$. The type of a coherent system $(E,V)$ is a triple $(n,d,k)$, where $n$ is the rank of $E$, $d$ is the degree of $E$ and $k$ is the dimension of $V$. The notion of stability for a coherent system $(E,V)$ differs from the stability of the bundle $E$ and depends on the choice of a real parameter $\\alpha$. The moduli space of $\\alpha$-stable coherent systems of type $(n,d,k)$ has an expected dimension $\\bet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00869","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":"1803.00869","created_at":"2026-05-18T00:16:50.101451+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.00869v2","created_at":"2026-05-18T00:16:50.101451+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00869","created_at":"2026-05-18T00:16:50.101451+00:00"},{"alias_kind":"pith_short_12","alias_value":"XOJS3DDFQOO4","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"XOJS3DDFQOO4UXKU","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"XOJS3DDF","created_at":"2026-05-18T12:33:01.666342+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/XOJS3DDFQOO4UXKUQHCEMJCXEB","json":"https://pith.science/pith/XOJS3DDFQOO4UXKUQHCEMJCXEB.json","graph_json":"https://pith.science/api/pith-number/XOJS3DDFQOO4UXKUQHCEMJCXEB/graph.json","events_json":"https://pith.science/api/pith-number/XOJS3DDFQOO4UXKUQHCEMJCXEB/events.json","paper":"https://pith.science/paper/XOJS3DDF"},"agent_actions":{"view_html":"https://pith.science/pith/XOJS3DDFQOO4UXKUQHCEMJCXEB","download_json":"https://pith.science/pith/XOJS3DDFQOO4UXKUQHCEMJCXEB.json","view_paper":"https://pith.science/paper/XOJS3DDF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.00869&json=true","fetch_graph":"https://pith.science/api/pith-number/XOJS3DDFQOO4UXKUQHCEMJCXEB/graph.json","fetch_events":"https://pith.science/api/pith-number/XOJS3DDFQOO4UXKUQHCEMJCXEB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XOJS3DDFQOO4UXKUQHCEMJCXEB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XOJS3DDFQOO4UXKUQHCEMJCXEB/action/storage_attestation","attest_author":"https://pith.science/pith/XOJS3DDFQOO4UXKUQHCEMJCXEB/action/author_attestation","sign_citation":"https://pith.science/pith/XOJS3DDFQOO4UXKUQHCEMJCXEB/action/citation_signature","submit_replication":"https://pith.science/pith/XOJS3DDFQOO4UXKUQHCEMJCXEB/action/replication_record"}},"created_at":"2026-05-18T00:16:50.101451+00:00","updated_at":"2026-05-18T00:16:50.101451+00:00"}