{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:ETWEFUMMEU5YKGYCW76VOJWCSB","short_pith_number":"pith:ETWEFUMM","schema_version":"1.0","canonical_sha256":"24ec42d18c253b851b02b7fd5726c29072cebbd8d3a541e226fe5776fd9293c9","source":{"kind":"arxiv","id":"2308.12285","version":4},"attestation_state":"computed","paper":{"title":"Kapranov degrees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Christopher Eur, Joshua Brakensiek, Matt Larson, Shiyue Li","submitted_at":"2023-08-23T17:58:21Z","abstract_excerpt":"The moduli space of stable rational curves with marked points has two distinguished families of maps: the forgetful maps, given by forgetting some of the markings, and the Kapranov maps, given by complete linear series of $\\psi$-classes. The collection of all these maps embeds the moduli space into a product of projective spaces. We call the multidegrees of this embedding ``Kapranov degrees,'' which include as special cases the work of Witten, Silversmith, Gallet--Grasegger--Schicho, Castravet--Tevelev, Postnikov, Cavalieri--Gillespie--Monin, and Gillespie--Griffins--Levinson. We establish, in"},"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":"2308.12285","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-08-23T17:58:21Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"449ec56c66654fc454fec33d98f0be8a9b012afbb87e247a2d5af37540d388e6","abstract_canon_sha256":"1f07f36300aea1fbcedf9ed4b8c6ef446ea6776c91a6ac8b13ecf0dfb8c197d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:09:41.406044Z","signature_b64":"1mV7jXQ8Kg7LCXYQzpmJiPf4g4oOLOL83PIvwu7qY569me0+qlqxx6rnnxXtQDoDEmzUyhpuUs19w9FSUbVAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24ec42d18c253b851b02b7fd5726c29072cebbd8d3a541e226fe5776fd9293c9","last_reissued_at":"2026-07-05T12:09:41.405603Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:09:41.405603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kapranov degrees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Christopher Eur, Joshua Brakensiek, Matt Larson, Shiyue Li","submitted_at":"2023-08-23T17:58:21Z","abstract_excerpt":"The moduli space of stable rational curves with marked points has two distinguished families of maps: the forgetful maps, given by forgetting some of the markings, and the Kapranov maps, given by complete linear series of $\\psi$-classes. The collection of all these maps embeds the moduli space into a product of projective spaces. We call the multidegrees of this embedding ``Kapranov degrees,'' which include as special cases the work of Witten, Silversmith, Gallet--Grasegger--Schicho, Castravet--Tevelev, Postnikov, Cavalieri--Gillespie--Monin, and Gillespie--Griffins--Levinson. We establish, in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.12285","kind":"arxiv","version":4},"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/2308.12285/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":"2308.12285","created_at":"2026-07-05T12:09:41.405665+00:00"},{"alias_kind":"arxiv_version","alias_value":"2308.12285v4","created_at":"2026-07-05T12:09:41.405665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.12285","created_at":"2026-07-05T12:09:41.405665+00:00"},{"alias_kind":"pith_short_12","alias_value":"ETWEFUMMEU5Y","created_at":"2026-07-05T12:09:41.405665+00:00"},{"alias_kind":"pith_short_16","alias_value":"ETWEFUMMEU5YKGYC","created_at":"2026-07-05T12:09:41.405665+00:00"},{"alias_kind":"pith_short_8","alias_value":"ETWEFUMM","created_at":"2026-07-05T12:09:41.405665+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/ETWEFUMMEU5YKGYCW76VOJWCSB","json":"https://pith.science/pith/ETWEFUMMEU5YKGYCW76VOJWCSB.json","graph_json":"https://pith.science/api/pith-number/ETWEFUMMEU5YKGYCW76VOJWCSB/graph.json","events_json":"https://pith.science/api/pith-number/ETWEFUMMEU5YKGYCW76VOJWCSB/events.json","paper":"https://pith.science/paper/ETWEFUMM"},"agent_actions":{"view_html":"https://pith.science/pith/ETWEFUMMEU5YKGYCW76VOJWCSB","download_json":"https://pith.science/pith/ETWEFUMMEU5YKGYCW76VOJWCSB.json","view_paper":"https://pith.science/paper/ETWEFUMM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2308.12285&json=true","fetch_graph":"https://pith.science/api/pith-number/ETWEFUMMEU5YKGYCW76VOJWCSB/graph.json","fetch_events":"https://pith.science/api/pith-number/ETWEFUMMEU5YKGYCW76VOJWCSB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ETWEFUMMEU5YKGYCW76VOJWCSB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ETWEFUMMEU5YKGYCW76VOJWCSB/action/storage_attestation","attest_author":"https://pith.science/pith/ETWEFUMMEU5YKGYCW76VOJWCSB/action/author_attestation","sign_citation":"https://pith.science/pith/ETWEFUMMEU5YKGYCW76VOJWCSB/action/citation_signature","submit_replication":"https://pith.science/pith/ETWEFUMMEU5YKGYCW76VOJWCSB/action/replication_record"}},"created_at":"2026-07-05T12:09:41.405665+00:00","updated_at":"2026-07-05T12:09:41.405665+00:00"}