{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ZWU3KNK4ZEGJ2MRIZOFXU2YGMI","short_pith_number":"pith:ZWU3KNK4","schema_version":"1.0","canonical_sha256":"cda9b5355cc90c9d3228cb8b7a6b0662363379f497d69b517cebff08eabbe5b9","source":{"kind":"arxiv","id":"2607.02080","version":1},"attestation_state":"computed","paper":{"title":"Positive Cones of Parabolic Grassmann Bundle over a curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ashima Bansal, Shivam Vats","submitted_at":"2026-07-02T12:24:03Z","abstract_excerpt":"In this article, we define the parabolic Grassmann bundle associated to a parabolic vector bundle over a smooth projective variety, generalizing the construction of parabolic projective bundles developed in \\cite{BL}. We determine its N\\'eron--Severi group and compute its nef, pseudoeffective, and Mori cones over smooth projective curves. We also compute the corresponding cones for the fiber product of two parabolic Grassmann bundles over a smooth projective curve."},"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":"2607.02080","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-07-02T12:24:03Z","cross_cats_sorted":[],"title_canon_sha256":"5ddeb0aad3b5fb7eb0ac4cda1282b917eab9797f2121465c4c9158a88dd0f0cc","abstract_canon_sha256":"77476b6555e795d0be284d8c6398276d62323fb0cf3a6c3e37f965f046d895fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T01:17:41.617439Z","signature_b64":"PwXHXf8s8BCuYuyyDwhsrPYlVG1GiU0GIXY3DQuwH8BfMg3AdCJzq+0IhwKhDcBazqv0NtSpLv+d6mEincu9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cda9b5355cc90c9d3228cb8b7a6b0662363379f497d69b517cebff08eabbe5b9","last_reissued_at":"2026-07-03T01:17:41.616980Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T01:17:41.616980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Positive Cones of Parabolic Grassmann Bundle over a curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ashima Bansal, Shivam Vats","submitted_at":"2026-07-02T12:24:03Z","abstract_excerpt":"In this article, we define the parabolic Grassmann bundle associated to a parabolic vector bundle over a smooth projective variety, generalizing the construction of parabolic projective bundles developed in \\cite{BL}. We determine its N\\'eron--Severi group and compute its nef, pseudoeffective, and Mori cones over smooth projective curves. We also compute the corresponding cones for the fiber product of two parabolic Grassmann bundles over a smooth projective curve."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.02080","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.02080/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.02080","created_at":"2026-07-03T01:17:41.617040+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.02080v1","created_at":"2026-07-03T01:17:41.617040+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.02080","created_at":"2026-07-03T01:17:41.617040+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZWU3KNK4ZEGJ","created_at":"2026-07-03T01:17:41.617040+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZWU3KNK4ZEGJ2MRI","created_at":"2026-07-03T01:17:41.617040+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZWU3KNK4","created_at":"2026-07-03T01:17:41.617040+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/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI","json":"https://pith.science/pith/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI.json","graph_json":"https://pith.science/api/pith-number/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI/graph.json","events_json":"https://pith.science/api/pith-number/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI/events.json","paper":"https://pith.science/paper/ZWU3KNK4"},"agent_actions":{"view_html":"https://pith.science/pith/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI","download_json":"https://pith.science/pith/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI.json","view_paper":"https://pith.science/paper/ZWU3KNK4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.02080&json=true","fetch_graph":"https://pith.science/api/pith-number/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI/graph.json","fetch_events":"https://pith.science/api/pith-number/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI/action/storage_attestation","attest_author":"https://pith.science/pith/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI/action/author_attestation","sign_citation":"https://pith.science/pith/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI/action/citation_signature","submit_replication":"https://pith.science/pith/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI/action/replication_record"}},"created_at":"2026-07-03T01:17:41.617040+00:00","updated_at":"2026-07-03T01:17:41.617040+00:00"}