{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QRLPXF6PBW6VWUGBA4B2HVCPJP","short_pith_number":"pith:QRLPXF6P","schema_version":"1.0","canonical_sha256":"8456fb97cf0dbd5b50c10703a3d44f4bfd753cd53a5f3e2f8ed343c46e8b9daf","source":{"kind":"arxiv","id":"1812.05024","version":1},"attestation_state":"computed","paper":{"title":"Effective divisors in the projectivized Hodge bundle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AG","authors_text":"Iulia Gheorghita","submitted_at":"2018-12-12T16:52:51Z","abstract_excerpt":"We compute the class of the closure of the locus of canonical divisors in the projectivization of the Hodge bundle $\\mathbb{P}\\overline{\\mathcal{H}}_g$ over $\\overline{\\mathcal{M}}_g$ which have a zero at a Weierstrass point. We also show that the strata of canonical and bicanonical divisors with a double zero span extremal rays of the respective pseudoeffective cones."},"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":"1812.05024","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-12T16:52:51Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"6a82bbc2c2d8c130f573c9acd7814d019dcb5b0aaee70bf23cf81790058cc8c5","abstract_canon_sha256":"7e01c1eb1e434941c4ca19b1ee86f99876c736319b3da358f55ebe4baba11534"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:26.600069Z","signature_b64":"cyXQaHp8PjfsBQO8oCb6IGa0CUNwryrMnvXsLpxuzPP6HaSf/C3nlMi+05UvIncLo7OdnvzTyetr+099YYzgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8456fb97cf0dbd5b50c10703a3d44f4bfd753cd53a5f3e2f8ed343c46e8b9daf","last_reissued_at":"2026-05-17T23:58:26.599469Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:26.599469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective divisors in the projectivized Hodge bundle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AG","authors_text":"Iulia Gheorghita","submitted_at":"2018-12-12T16:52:51Z","abstract_excerpt":"We compute the class of the closure of the locus of canonical divisors in the projectivization of the Hodge bundle $\\mathbb{P}\\overline{\\mathcal{H}}_g$ over $\\overline{\\mathcal{M}}_g$ which have a zero at a Weierstrass point. We also show that the strata of canonical and bicanonical divisors with a double zero span extremal rays of the respective pseudoeffective cones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.05024","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":"1812.05024","created_at":"2026-05-17T23:58:26.599563+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.05024v1","created_at":"2026-05-17T23:58:26.599563+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.05024","created_at":"2026-05-17T23:58:26.599563+00:00"},{"alias_kind":"pith_short_12","alias_value":"QRLPXF6PBW6V","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QRLPXF6PBW6VWUGB","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QRLPXF6P","created_at":"2026-05-18T12:32:46.962924+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/QRLPXF6PBW6VWUGBA4B2HVCPJP","json":"https://pith.science/pith/QRLPXF6PBW6VWUGBA4B2HVCPJP.json","graph_json":"https://pith.science/api/pith-number/QRLPXF6PBW6VWUGBA4B2HVCPJP/graph.json","events_json":"https://pith.science/api/pith-number/QRLPXF6PBW6VWUGBA4B2HVCPJP/events.json","paper":"https://pith.science/paper/QRLPXF6P"},"agent_actions":{"view_html":"https://pith.science/pith/QRLPXF6PBW6VWUGBA4B2HVCPJP","download_json":"https://pith.science/pith/QRLPXF6PBW6VWUGBA4B2HVCPJP.json","view_paper":"https://pith.science/paper/QRLPXF6P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.05024&json=true","fetch_graph":"https://pith.science/api/pith-number/QRLPXF6PBW6VWUGBA4B2HVCPJP/graph.json","fetch_events":"https://pith.science/api/pith-number/QRLPXF6PBW6VWUGBA4B2HVCPJP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QRLPXF6PBW6VWUGBA4B2HVCPJP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QRLPXF6PBW6VWUGBA4B2HVCPJP/action/storage_attestation","attest_author":"https://pith.science/pith/QRLPXF6PBW6VWUGBA4B2HVCPJP/action/author_attestation","sign_citation":"https://pith.science/pith/QRLPXF6PBW6VWUGBA4B2HVCPJP/action/citation_signature","submit_replication":"https://pith.science/pith/QRLPXF6PBW6VWUGBA4B2HVCPJP/action/replication_record"}},"created_at":"2026-05-17T23:58:26.599563+00:00","updated_at":"2026-05-17T23:58:26.599563+00:00"}