{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TPC4FSD66Q7FF4UBO3UOWJPMZC","short_pith_number":"pith:TPC4FSD6","schema_version":"1.0","canonical_sha256":"9bc5c2c87ef43e52f28176e8eb25ecc8a5c63ae935f79499a39ed758e52be699","source":{"kind":"arxiv","id":"1103.3727","version":5},"attestation_state":"computed","paper":{"title":"Higher rank stable pairs on K3 surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"Andrei Jorza, Benjamin Bakker","submitted_at":"2011-03-18T23:16:50Z","abstract_excerpt":"We define and compute higher rank analogs of Pandharipande-Thomas stable pair invariants in primitive classes for K3 surfaces. Higher rank stable pair invariants for Calabi-Yau threefolds have been defined by Sheshmani \\cite{shesh1,shesh2} using moduli of pairs of the form $\\O^n\\into \\F$ for $\\F$ purely one-dimensional and computed via wall-crossing techniques. These invariants may be thought of as virtually counting embedded curves decorated with a $(n-1)$-dimensional linear system. We treat invariants counting pairs $\\O^n\\into \\E$ on a $\\K3$ surface for $\\E$ an arbitrary stable sheaf of a fi"},"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":"1103.3727","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-18T23:16:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3bb6a9a0a38dad025988acb0b30a4dbeba92191df3dd2393825d13d9b6824a0c","abstract_canon_sha256":"8169dba12a8fb5ad0832df02277c36fdfb191b2973a367df6f79dbf7bcb20246"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:45.655156Z","signature_b64":"/Fofo6bR58PjJZQdGu4cpxtLBsYynqSo9Njalb2WHe9SiW03nqINXgAIYUCybRicP0zKa8+fYhdvQK6Ne6Y/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bc5c2c87ef43e52f28176e8eb25ecc8a5c63ae935f79499a39ed758e52be699","last_reissued_at":"2026-05-18T03:15:45.654442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:45.654442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher rank stable pairs on K3 surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"Andrei Jorza, Benjamin Bakker","submitted_at":"2011-03-18T23:16:50Z","abstract_excerpt":"We define and compute higher rank analogs of Pandharipande-Thomas stable pair invariants in primitive classes for K3 surfaces. Higher rank stable pair invariants for Calabi-Yau threefolds have been defined by Sheshmani \\cite{shesh1,shesh2} using moduli of pairs of the form $\\O^n\\into \\F$ for $\\F$ purely one-dimensional and computed via wall-crossing techniques. These invariants may be thought of as virtually counting embedded curves decorated with a $(n-1)$-dimensional linear system. We treat invariants counting pairs $\\O^n\\into \\E$ on a $\\K3$ surface for $\\E$ an arbitrary stable sheaf of a fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.3727","kind":"arxiv","version":5},"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":"1103.3727","created_at":"2026-05-18T03:15:45.654545+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.3727v5","created_at":"2026-05-18T03:15:45.654545+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.3727","created_at":"2026-05-18T03:15:45.654545+00:00"},{"alias_kind":"pith_short_12","alias_value":"TPC4FSD66Q7F","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TPC4FSD66Q7FF4UB","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TPC4FSD6","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/TPC4FSD66Q7FF4UBO3UOWJPMZC","json":"https://pith.science/pith/TPC4FSD66Q7FF4UBO3UOWJPMZC.json","graph_json":"https://pith.science/api/pith-number/TPC4FSD66Q7FF4UBO3UOWJPMZC/graph.json","events_json":"https://pith.science/api/pith-number/TPC4FSD66Q7FF4UBO3UOWJPMZC/events.json","paper":"https://pith.science/paper/TPC4FSD6"},"agent_actions":{"view_html":"https://pith.science/pith/TPC4FSD66Q7FF4UBO3UOWJPMZC","download_json":"https://pith.science/pith/TPC4FSD66Q7FF4UBO3UOWJPMZC.json","view_paper":"https://pith.science/paper/TPC4FSD6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.3727&json=true","fetch_graph":"https://pith.science/api/pith-number/TPC4FSD66Q7FF4UBO3UOWJPMZC/graph.json","fetch_events":"https://pith.science/api/pith-number/TPC4FSD66Q7FF4UBO3UOWJPMZC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TPC4FSD66Q7FF4UBO3UOWJPMZC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TPC4FSD66Q7FF4UBO3UOWJPMZC/action/storage_attestation","attest_author":"https://pith.science/pith/TPC4FSD66Q7FF4UBO3UOWJPMZC/action/author_attestation","sign_citation":"https://pith.science/pith/TPC4FSD66Q7FF4UBO3UOWJPMZC/action/citation_signature","submit_replication":"https://pith.science/pith/TPC4FSD66Q7FF4UBO3UOWJPMZC/action/replication_record"}},"created_at":"2026-05-18T03:15:45.654545+00:00","updated_at":"2026-05-18T03:15:45.654545+00:00"}