{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:FV3BJYQOAKO7VJAIRQMBR7GESP","short_pith_number":"pith:FV3BJYQO","schema_version":"1.0","canonical_sha256":"2d7614e20e029dfaa4088c1818fcc493f02650a1f3be8924d75f10f5e5ae66a7","source":{"kind":"arxiv","id":"1111.0017","version":2},"attestation_state":"computed","paper":{"title":"On Hirzebruch invariants of elliptic fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"James Fullwood, Mark van Hoeij","submitted_at":"2011-10-31T20:00:09Z","abstract_excerpt":"We compute all Hirzebruch invariants $\\chi_q$ for $D_5$, $E_6$, $E_7$ and $E_8$ elliptic fibrations of every dimension. A single generating series $\\chi(t,y)$ is produced for each family of fibrations such that the coefficient of $t^{k}y^{q}$ encodes $\\chi_q$ over a base of dimension $k$, solely in terms of invariants of the base of the fibration."},"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":"1111.0017","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-31T20:00:09Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8086a38d4f6e02e7db49cf90427faa41a5f53ab08a46ed0f91008621163a1fb2","abstract_canon_sha256":"c9d6b706ff51a5aabbb8178257a7fd118e03b5b4bc67f25ef28a2e06c74a608f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:12.712573Z","signature_b64":"Oe+k3X+XSZZrPdXHF3twDFge4rwWPnVrocyGNmm8rp981LV4Q7ibztNa83CEC7TJD2IqIuYlMKdV0nB/wBWtDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d7614e20e029dfaa4088c1818fcc493f02650a1f3be8924d75f10f5e5ae66a7","last_reissued_at":"2026-05-18T03:57:12.711953Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:12.711953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Hirzebruch invariants of elliptic fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"James Fullwood, Mark van Hoeij","submitted_at":"2011-10-31T20:00:09Z","abstract_excerpt":"We compute all Hirzebruch invariants $\\chi_q$ for $D_5$, $E_6$, $E_7$ and $E_8$ elliptic fibrations of every dimension. A single generating series $\\chi(t,y)$ is produced for each family of fibrations such that the coefficient of $t^{k}y^{q}$ encodes $\\chi_q$ over a base of dimension $k$, solely in terms of invariants of the base of the fibration."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0017","kind":"arxiv","version":2},"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":"1111.0017","created_at":"2026-05-18T03:57:12.712046+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.0017v2","created_at":"2026-05-18T03:57:12.712046+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0017","created_at":"2026-05-18T03:57:12.712046+00:00"},{"alias_kind":"pith_short_12","alias_value":"FV3BJYQOAKO7","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"FV3BJYQOAKO7VJAI","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"FV3BJYQO","created_at":"2026-05-18T12:26:28.662955+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/FV3BJYQOAKO7VJAIRQMBR7GESP","json":"https://pith.science/pith/FV3BJYQOAKO7VJAIRQMBR7GESP.json","graph_json":"https://pith.science/api/pith-number/FV3BJYQOAKO7VJAIRQMBR7GESP/graph.json","events_json":"https://pith.science/api/pith-number/FV3BJYQOAKO7VJAIRQMBR7GESP/events.json","paper":"https://pith.science/paper/FV3BJYQO"},"agent_actions":{"view_html":"https://pith.science/pith/FV3BJYQOAKO7VJAIRQMBR7GESP","download_json":"https://pith.science/pith/FV3BJYQOAKO7VJAIRQMBR7GESP.json","view_paper":"https://pith.science/paper/FV3BJYQO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.0017&json=true","fetch_graph":"https://pith.science/api/pith-number/FV3BJYQOAKO7VJAIRQMBR7GESP/graph.json","fetch_events":"https://pith.science/api/pith-number/FV3BJYQOAKO7VJAIRQMBR7GESP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FV3BJYQOAKO7VJAIRQMBR7GESP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FV3BJYQOAKO7VJAIRQMBR7GESP/action/storage_attestation","attest_author":"https://pith.science/pith/FV3BJYQOAKO7VJAIRQMBR7GESP/action/author_attestation","sign_citation":"https://pith.science/pith/FV3BJYQOAKO7VJAIRQMBR7GESP/action/citation_signature","submit_replication":"https://pith.science/pith/FV3BJYQOAKO7VJAIRQMBR7GESP/action/replication_record"}},"created_at":"2026-05-18T03:57:12.712046+00:00","updated_at":"2026-05-18T03:57:12.712046+00:00"}