{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CVGPGUFGBBWU5CS2WH5LZMNQAC","short_pith_number":"pith:CVGPGUFG","schema_version":"1.0","canonical_sha256":"154cf350a6086d4e8a5ab1fabcb1b000bce6ae79b0b9adf4143e268c5eb89a48","source":{"kind":"arxiv","id":"1607.02172","version":1},"attestation_state":"computed","paper":{"title":"Opers versus nonabelian Hodge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.QA"],"primary_cat":"math.DG","authors_text":"Andrew Neitzke, Georgios Kydonakis, Laura Fredrickson, Motohico Mulase, Olivia Dumitrescu, Rafe Mazzeo","submitted_at":"2016-07-07T21:01:19Z","abstract_excerpt":"For a complex simple simply connected Lie group $G$, and a compact Riemann surface $C$, we consider two sorts of families of flat $G$-connections over $C$. Each family is determined by a point ${\\mathbf u}$ of the base of Hitchin's integrable system for $(G,C)$. One family $\\nabla_{\\hbar,{\\mathbf u}}$ consists of $G$-opers, and depends on $\\hbar \\in {\\mathbb C}^\\times$. The other family $\\nabla_{R,\\zeta,{\\mathbf u}}$ is built from solutions of Hitchin's equations, and depends on $\\zeta \\in {\\mathbb C}^\\times, R \\in {\\mathbb R}^+$. We show that in the scaling limit $R \\to 0$, $\\zeta = \\hbar R$,"},"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":"1607.02172","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-07-07T21:01:19Z","cross_cats_sorted":["math.AG","math.QA"],"title_canon_sha256":"2c7535d1f52594ecce51f77f08464aa4b35460bf55cd94430497c1085142f280","abstract_canon_sha256":"d9f73d9a38edd62b8e2e06d59222c087adc64599cc1395f89c885fd38237fec8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:09.783420Z","signature_b64":"JAkCBK6EObKQaSU5wmyd3JmtUQ5WrFY4+z4O1cDs8a4ftMQgVZPmbbbYBP3biEoY0OGHnc+f3+w0wl9MLZGRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"154cf350a6086d4e8a5ab1fabcb1b000bce6ae79b0b9adf4143e268c5eb89a48","last_reissued_at":"2026-05-18T01:11:09.782840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:09.782840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Opers versus nonabelian Hodge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.QA"],"primary_cat":"math.DG","authors_text":"Andrew Neitzke, Georgios Kydonakis, Laura Fredrickson, Motohico Mulase, Olivia Dumitrescu, Rafe Mazzeo","submitted_at":"2016-07-07T21:01:19Z","abstract_excerpt":"For a complex simple simply connected Lie group $G$, and a compact Riemann surface $C$, we consider two sorts of families of flat $G$-connections over $C$. Each family is determined by a point ${\\mathbf u}$ of the base of Hitchin's integrable system for $(G,C)$. One family $\\nabla_{\\hbar,{\\mathbf u}}$ consists of $G$-opers, and depends on $\\hbar \\in {\\mathbb C}^\\times$. The other family $\\nabla_{R,\\zeta,{\\mathbf u}}$ is built from solutions of Hitchin's equations, and depends on $\\zeta \\in {\\mathbb C}^\\times, R \\in {\\mathbb R}^+$. We show that in the scaling limit $R \\to 0$, $\\zeta = \\hbar R$,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02172","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":"1607.02172","created_at":"2026-05-18T01:11:09.782927+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.02172v1","created_at":"2026-05-18T01:11:09.782927+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.02172","created_at":"2026-05-18T01:11:09.782927+00:00"},{"alias_kind":"pith_short_12","alias_value":"CVGPGUFGBBWU","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CVGPGUFGBBWU5CS2","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CVGPGUFG","created_at":"2026-05-18T12:30:09.641336+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/CVGPGUFGBBWU5CS2WH5LZMNQAC","json":"https://pith.science/pith/CVGPGUFGBBWU5CS2WH5LZMNQAC.json","graph_json":"https://pith.science/api/pith-number/CVGPGUFGBBWU5CS2WH5LZMNQAC/graph.json","events_json":"https://pith.science/api/pith-number/CVGPGUFGBBWU5CS2WH5LZMNQAC/events.json","paper":"https://pith.science/paper/CVGPGUFG"},"agent_actions":{"view_html":"https://pith.science/pith/CVGPGUFGBBWU5CS2WH5LZMNQAC","download_json":"https://pith.science/pith/CVGPGUFGBBWU5CS2WH5LZMNQAC.json","view_paper":"https://pith.science/paper/CVGPGUFG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.02172&json=true","fetch_graph":"https://pith.science/api/pith-number/CVGPGUFGBBWU5CS2WH5LZMNQAC/graph.json","fetch_events":"https://pith.science/api/pith-number/CVGPGUFGBBWU5CS2WH5LZMNQAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CVGPGUFGBBWU5CS2WH5LZMNQAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CVGPGUFGBBWU5CS2WH5LZMNQAC/action/storage_attestation","attest_author":"https://pith.science/pith/CVGPGUFGBBWU5CS2WH5LZMNQAC/action/author_attestation","sign_citation":"https://pith.science/pith/CVGPGUFGBBWU5CS2WH5LZMNQAC/action/citation_signature","submit_replication":"https://pith.science/pith/CVGPGUFGBBWU5CS2WH5LZMNQAC/action/replication_record"}},"created_at":"2026-05-18T01:11:09.782927+00:00","updated_at":"2026-05-18T01:11:09.782927+00:00"}