{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:DHNLL7K6TIBGKIAKIYK3I2OMT5","short_pith_number":"pith:DHNLL7K6","schema_version":"1.0","canonical_sha256":"19dab5fd5e9a0265200a4615b469cc9f74740c9d470fbe8af57441f7cfee4cc9","source":{"kind":"arxiv","id":"2606.15560","version":2},"attestation_state":"computed","paper":{"title":"Quadratic one-forms on logarithmic Higgs moduli","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Sumit Roy","submitted_at":"2026-06-14T02:55:36Z","abstract_excerpt":"Let $C$ be a compact Riemann surface of genus at least two, and let $G$ be a connected complex reductive group. We study quadratic one-forms associated to logarithmic $G$-Higgs bundles on a pointed curve $(C,D)$ with nilpotent residues. We use the elementary pole cancellation for invariant polynomials, where nilpotency of the residue removes the leading pole term. In degree two this places $B(\\Phi,\\Phi)$ in the cotangent space of pointed Teichmuller space, and hence gives a logarithmic quadratic one-form. We relate this one-form to the variation of the energy for tame nilpotent harmonic bundle"},"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":"2606.15560","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-06-14T02:55:36Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"ea05243a9872b08eac3453a8842763d0b855fe1256c62bd34a7744ca5165b159","abstract_canon_sha256":"91a4a64f4b9af4420a76f7c41cf71158917dec728f9adf555a8b490562c29245"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T00:15:26.004992Z","signature_b64":"xxcBgoHPunfi6fPA2OPHP7+oejBvNIMDTb6ct3zWAC2y9XsBIvIT4a80ciNK5CQ5x0ojCTEFIF+qPsnyEyeAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19dab5fd5e9a0265200a4615b469cc9f74740c9d470fbe8af57441f7cfee4cc9","last_reissued_at":"2026-06-26T00:15:26.004559Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T00:15:26.004559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quadratic one-forms on logarithmic Higgs moduli","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Sumit Roy","submitted_at":"2026-06-14T02:55:36Z","abstract_excerpt":"Let $C$ be a compact Riemann surface of genus at least two, and let $G$ be a connected complex reductive group. We study quadratic one-forms associated to logarithmic $G$-Higgs bundles on a pointed curve $(C,D)$ with nilpotent residues. We use the elementary pole cancellation for invariant polynomials, where nilpotency of the residue removes the leading pole term. In degree two this places $B(\\Phi,\\Phi)$ in the cotangent space of pointed Teichmuller space, and hence gives a logarithmic quadratic one-form. We relate this one-form to the variation of the energy for tame nilpotent harmonic bundle"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.15560","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.15560/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":"2606.15560","created_at":"2026-06-26T00:15:26.004614+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.15560v2","created_at":"2026-06-26T00:15:26.004614+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.15560","created_at":"2026-06-26T00:15:26.004614+00:00"},{"alias_kind":"pith_short_12","alias_value":"DHNLL7K6TIBG","created_at":"2026-06-26T00:15:26.004614+00:00"},{"alias_kind":"pith_short_16","alias_value":"DHNLL7K6TIBGKIAK","created_at":"2026-06-26T00:15:26.004614+00:00"},{"alias_kind":"pith_short_8","alias_value":"DHNLL7K6","created_at":"2026-06-26T00:15:26.004614+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/DHNLL7K6TIBGKIAKIYK3I2OMT5","json":"https://pith.science/pith/DHNLL7K6TIBGKIAKIYK3I2OMT5.json","graph_json":"https://pith.science/api/pith-number/DHNLL7K6TIBGKIAKIYK3I2OMT5/graph.json","events_json":"https://pith.science/api/pith-number/DHNLL7K6TIBGKIAKIYK3I2OMT5/events.json","paper":"https://pith.science/paper/DHNLL7K6"},"agent_actions":{"view_html":"https://pith.science/pith/DHNLL7K6TIBGKIAKIYK3I2OMT5","download_json":"https://pith.science/pith/DHNLL7K6TIBGKIAKIYK3I2OMT5.json","view_paper":"https://pith.science/paper/DHNLL7K6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.15560&json=true","fetch_graph":"https://pith.science/api/pith-number/DHNLL7K6TIBGKIAKIYK3I2OMT5/graph.json","fetch_events":"https://pith.science/api/pith-number/DHNLL7K6TIBGKIAKIYK3I2OMT5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DHNLL7K6TIBGKIAKIYK3I2OMT5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DHNLL7K6TIBGKIAKIYK3I2OMT5/action/storage_attestation","attest_author":"https://pith.science/pith/DHNLL7K6TIBGKIAKIYK3I2OMT5/action/author_attestation","sign_citation":"https://pith.science/pith/DHNLL7K6TIBGKIAKIYK3I2OMT5/action/citation_signature","submit_replication":"https://pith.science/pith/DHNLL7K6TIBGKIAKIYK3I2OMT5/action/replication_record"}},"created_at":"2026-06-26T00:15:26.004614+00:00","updated_at":"2026-06-26T00:15:26.004614+00:00"}