{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:7VB2OQRULGLBVPMHMGO55XUEIW","short_pith_number":"pith:7VB2OQRU","schema_version":"1.0","canonical_sha256":"fd43a7423459961abd87619ddede84459ca9711ac73f7f62ade82855e5020eb6","source":{"kind":"arxiv","id":"2606.06778","version":1},"attestation_state":"computed","paper":{"title":"Orbifold Uniformization of Complex Algebraic Variety by Stable Parabolic Higgs Bundle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Jiayu Li, Tianshu Jiang","submitted_at":"2026-06-04T23:39:31Z","abstract_excerpt":"Let \\(X\\) be a smooth complex projective variety and let \\(D=D^p+D^c\\) be a simple normal crossing divisor, where \\(D^p\\) is a cusp divisor and \\(D^c\\) is a compact divisor carrying rational parabolic weights \\(q_i/p_i\\). We study the parabolic Higgs bundle \\[\n  E_*=(\\Omega_X^1(\\log D^p)\\oplus\\mathcal O_X)_* \\] whose only non-zero compact weights occur on the conormal lines of the components of \\(D^c\\). The equality case of the parabolic Bogomolov--Gieseker inequality is formulated intrinsically on the root stack \\(X[\\sqrt[p_i]{D_i^c}]\\). We prove that equality produces a flat trace-free adjoi"},"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":"2606.06778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-04T23:39:31Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"c8c177d5e244cda44e851ee623f4e3bff06cb4658983e0c8ba7aae4e2fd1afa0","abstract_canon_sha256":"2826fe0d2de932a720696ec90b12c7d8b935e8cf3ec2df1720f72321c0ac0c07"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T01:04:27.782426Z","signature_b64":"CxA4fOLudIiG5pdJKI1drDTsdX3a+gKJ2nQp3rWnGsU8UMYFBs6dweSfoX3auhRE1iPQ2eqO+M46RR1+cA/SBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd43a7423459961abd87619ddede84459ca9711ac73f7f62ade82855e5020eb6","last_reissued_at":"2026-06-08T01:04:27.781403Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T01:04:27.781403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orbifold Uniformization of Complex Algebraic Variety by Stable Parabolic Higgs Bundle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Jiayu Li, Tianshu Jiang","submitted_at":"2026-06-04T23:39:31Z","abstract_excerpt":"Let \\(X\\) be a smooth complex projective variety and let \\(D=D^p+D^c\\) be a simple normal crossing divisor, where \\(D^p\\) is a cusp divisor and \\(D^c\\) is a compact divisor carrying rational parabolic weights \\(q_i/p_i\\). We study the parabolic Higgs bundle \\[\n  E_*=(\\Omega_X^1(\\log D^p)\\oplus\\mathcal O_X)_* \\] whose only non-zero compact weights occur on the conormal lines of the components of \\(D^c\\). The equality case of the parabolic Bogomolov--Gieseker inequality is formulated intrinsically on the root stack \\(X[\\sqrt[p_i]{D_i^c}]\\). We prove that equality produces a flat trace-free adjoi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06778","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/2606.06778/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":"2606.06778","created_at":"2026-06-08T01:04:27.781585+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.06778v1","created_at":"2026-06-08T01:04:27.781585+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06778","created_at":"2026-06-08T01:04:27.781585+00:00"},{"alias_kind":"pith_short_12","alias_value":"7VB2OQRULGLB","created_at":"2026-06-08T01:04:27.781585+00:00"},{"alias_kind":"pith_short_16","alias_value":"7VB2OQRULGLBVPMH","created_at":"2026-06-08T01:04:27.781585+00:00"},{"alias_kind":"pith_short_8","alias_value":"7VB2OQRU","created_at":"2026-06-08T01:04:27.781585+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/7VB2OQRULGLBVPMHMGO55XUEIW","json":"https://pith.science/pith/7VB2OQRULGLBVPMHMGO55XUEIW.json","graph_json":"https://pith.science/api/pith-number/7VB2OQRULGLBVPMHMGO55XUEIW/graph.json","events_json":"https://pith.science/api/pith-number/7VB2OQRULGLBVPMHMGO55XUEIW/events.json","paper":"https://pith.science/paper/7VB2OQRU"},"agent_actions":{"view_html":"https://pith.science/pith/7VB2OQRULGLBVPMHMGO55XUEIW","download_json":"https://pith.science/pith/7VB2OQRULGLBVPMHMGO55XUEIW.json","view_paper":"https://pith.science/paper/7VB2OQRU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.06778&json=true","fetch_graph":"https://pith.science/api/pith-number/7VB2OQRULGLBVPMHMGO55XUEIW/graph.json","fetch_events":"https://pith.science/api/pith-number/7VB2OQRULGLBVPMHMGO55XUEIW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7VB2OQRULGLBVPMHMGO55XUEIW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7VB2OQRULGLBVPMHMGO55XUEIW/action/storage_attestation","attest_author":"https://pith.science/pith/7VB2OQRULGLBVPMHMGO55XUEIW/action/author_attestation","sign_citation":"https://pith.science/pith/7VB2OQRULGLBVPMHMGO55XUEIW/action/citation_signature","submit_replication":"https://pith.science/pith/7VB2OQRULGLBVPMHMGO55XUEIW/action/replication_record"}},"created_at":"2026-06-08T01:04:27.781585+00:00","updated_at":"2026-06-08T01:04:27.781585+00:00"}