{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:LWUJZ5CKCPMJ6VXBWO62JMNO6F","short_pith_number":"pith:LWUJZ5CK","schema_version":"1.0","canonical_sha256":"5da89cf44a13d89f56e1b3bda4b1aef14175eb4796bb9e0ab98ecaa2827357df","source":{"kind":"arxiv","id":"1708.00519","version":1},"attestation_state":"computed","paper":{"title":"Tautological ring of strata of differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AG","authors_text":"Dawei Chen","submitted_at":"2017-08-01T21:12:19Z","abstract_excerpt":"Strata of $k$-differentials on smooth curves parameterize sections of the $k$-th power of the canonical bundle with prescribed orders of zeros and poles. Define the tautological ring of the projectivized strata using the $\\kappa$ and $\\psi$ classes of moduli spaces of pointed smooth curves along with the tautological class $\\eta$ of the Hodge bundle. We show that if there is no pole of order $k$, then the tautological ring is generated by $\\eta$ only, and otherwise it is generated by the $\\psi$ classes corresponding to the poles of order $k$."},"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":"1708.00519","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-01T21:12:19Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"08cd72034d6d79e1a08eb9bf2723e1ed4a6771a65213dda0ee9e97469a59755e","abstract_canon_sha256":"12bd3490a83c5bd214980b8cf17c4c1627f0237ec5ad478480fde30a9e3cd06c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:45.539027Z","signature_b64":"7HEpiKwJSw6kqyF89e+z+DNHb4xzYQMH8DUjdfEe2/CKYg/zEtSKRUBbW1l+0pYFW3DpDbTARd/ixwCI8BK8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5da89cf44a13d89f56e1b3bda4b1aef14175eb4796bb9e0ab98ecaa2827357df","last_reissued_at":"2026-05-18T00:38:45.538556Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:45.538556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tautological ring of strata of differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AG","authors_text":"Dawei Chen","submitted_at":"2017-08-01T21:12:19Z","abstract_excerpt":"Strata of $k$-differentials on smooth curves parameterize sections of the $k$-th power of the canonical bundle with prescribed orders of zeros and poles. Define the tautological ring of the projectivized strata using the $\\kappa$ and $\\psi$ classes of moduli spaces of pointed smooth curves along with the tautological class $\\eta$ of the Hodge bundle. We show that if there is no pole of order $k$, then the tautological ring is generated by $\\eta$ only, and otherwise it is generated by the $\\psi$ classes corresponding to the poles of order $k$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00519","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":""},"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":"1708.00519","created_at":"2026-05-18T00:38:45.538622+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.00519v1","created_at":"2026-05-18T00:38:45.538622+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00519","created_at":"2026-05-18T00:38:45.538622+00:00"},{"alias_kind":"pith_short_12","alias_value":"LWUJZ5CKCPMJ","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"LWUJZ5CKCPMJ6VXB","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"LWUJZ5CK","created_at":"2026-05-18T12:31:28.150371+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/LWUJZ5CKCPMJ6VXBWO62JMNO6F","json":"https://pith.science/pith/LWUJZ5CKCPMJ6VXBWO62JMNO6F.json","graph_json":"https://pith.science/api/pith-number/LWUJZ5CKCPMJ6VXBWO62JMNO6F/graph.json","events_json":"https://pith.science/api/pith-number/LWUJZ5CKCPMJ6VXBWO62JMNO6F/events.json","paper":"https://pith.science/paper/LWUJZ5CK"},"agent_actions":{"view_html":"https://pith.science/pith/LWUJZ5CKCPMJ6VXBWO62JMNO6F","download_json":"https://pith.science/pith/LWUJZ5CKCPMJ6VXBWO62JMNO6F.json","view_paper":"https://pith.science/paper/LWUJZ5CK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.00519&json=true","fetch_graph":"https://pith.science/api/pith-number/LWUJZ5CKCPMJ6VXBWO62JMNO6F/graph.json","fetch_events":"https://pith.science/api/pith-number/LWUJZ5CKCPMJ6VXBWO62JMNO6F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LWUJZ5CKCPMJ6VXBWO62JMNO6F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LWUJZ5CKCPMJ6VXBWO62JMNO6F/action/storage_attestation","attest_author":"https://pith.science/pith/LWUJZ5CKCPMJ6VXBWO62JMNO6F/action/author_attestation","sign_citation":"https://pith.science/pith/LWUJZ5CKCPMJ6VXBWO62JMNO6F/action/citation_signature","submit_replication":"https://pith.science/pith/LWUJZ5CKCPMJ6VXBWO62JMNO6F/action/replication_record"}},"created_at":"2026-05-18T00:38:45.538622+00:00","updated_at":"2026-05-18T00:38:45.538622+00:00"}