{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:GAHHCIMQJBAD47OR4CZ7DZEAVQ","short_pith_number":"pith:GAHHCIMQ","canonical_record":{"source":{"id":"1905.10765","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-05-26T09:02:46Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"cd2e8e0b96749c65f6904d6c12fb9a25787187af0cecb635c90080f5b4211109","abstract_canon_sha256":"bdf89ac03266839d76ff86b1fe198a7398e6644f23fdb27e7e688405ff17dcd7"},"schema_version":"1.0"},"canonical_sha256":"300e71219048403e7dd1e0b3f1e480ac2a43f239284daf933c84b00d43976daa","source":{"kind":"arxiv","id":"1905.10765","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10765","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10765v5","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10765","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"pith_short_12","alias_value":"GAHHCIMQJBAD","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"pith_short_16","alias_value":"GAHHCIMQJBAD47OR","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"pith_short_8","alias_value":"GAHHCIMQ","created_at":"2026-07-05T04:57:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:GAHHCIMQJBAD47OR4CZ7DZEAVQ","target":"record","payload":{"canonical_record":{"source":{"id":"1905.10765","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-05-26T09:02:46Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"cd2e8e0b96749c65f6904d6c12fb9a25787187af0cecb635c90080f5b4211109","abstract_canon_sha256":"bdf89ac03266839d76ff86b1fe198a7398e6644f23fdb27e7e688405ff17dcd7"},"schema_version":"1.0"},"canonical_sha256":"300e71219048403e7dd1e0b3f1e480ac2a43f239284daf933c84b00d43976daa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:57:40.935538Z","signature_b64":"YCesAaTezVjFuKF1ZulqtBOR2MWfM8yiMCsBkdsvkjMYgRq/ZuIJ3YBQG4fcmnqxgtXmbYUVWows6II1MtxABQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"300e71219048403e7dd1e0b3f1e480ac2a43f239284daf933c84b00d43976daa","last_reissued_at":"2026-07-05T04:57:40.935100Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:57:40.935100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.10765","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:57:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OSlyxVsX60TkIAmB/tXbsttC8xNVu2rIga6aNY1jBEOAgMmxbCueYBex5++qLWkEZNxe+YYDjE9F/Db8YdoRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T09:27:23.010688Z"},"content_sha256":"88516742af6dec95f57526f6b6111ea5f88773de6efceec721a9b5c65de7659d","schema_version":"1.0","event_id":"sha256:88516742af6dec95f57526f6b6111ea5f88773de6efceec721a9b5c65de7659d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:GAHHCIMQJBAD47OR4CZ7DZEAVQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simpson-Mochizuki Correspondence for $\\lambda$-Flat Bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Pengfei Huang, Zhi Hu","submitted_at":"2019-05-26T09:02:46Z","abstract_excerpt":"The notion of flat $\\lambda$-connections as the interpolation of usual flat connections and Higgs fields was suggested by Deligne and further studied by Simpson. Mochizuki established the Kobayashi--Hitchin-type theorem for $\\lambda$-flat bundles ($\\lambda\\neq 0$), which is called the Mochizuki correspondence. In this paper, on the one hand, we generalize Mochizuki's result to the case when the base being a compact balanced manifold, more precisely, we prove the existence of harmonic metrics on stable $\\lambda$-flat bundles ($\\lambda\\neq 0$). On the other hand, we study two applications of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10765","kind":"arxiv","version":5},"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/1905.10765/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:57:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Y8Qqb6MBzmOUeBUAgwjmWl8fY5gVvOSTA9xBlKot1gnnY07BPpCEo9LF5KRLlW+NVjL8vX1Ce7E5DG/Ju/mDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T09:27:23.011061Z"},"content_sha256":"0ad07a4104654636ee0e512980bfc9bdeeb19f1e034f75d7ec2eb69d969707b5","schema_version":"1.0","event_id":"sha256:0ad07a4104654636ee0e512980bfc9bdeeb19f1e034f75d7ec2eb69d969707b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GAHHCIMQJBAD47OR4CZ7DZEAVQ/bundle.json","state_url":"https://pith.science/pith/GAHHCIMQJBAD47OR4CZ7DZEAVQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GAHHCIMQJBAD47OR4CZ7DZEAVQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-22T09:27:23Z","links":{"resolver":"https://pith.science/pith/GAHHCIMQJBAD47OR4CZ7DZEAVQ","bundle":"https://pith.science/pith/GAHHCIMQJBAD47OR4CZ7DZEAVQ/bundle.json","state":"https://pith.science/pith/GAHHCIMQJBAD47OR4CZ7DZEAVQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GAHHCIMQJBAD47OR4CZ7DZEAVQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GAHHCIMQJBAD47OR4CZ7DZEAVQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"bdf89ac03266839d76ff86b1fe198a7398e6644f23fdb27e7e688405ff17dcd7","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-05-26T09:02:46Z","title_canon_sha256":"cd2e8e0b96749c65f6904d6c12fb9a25787187af0cecb635c90080f5b4211109"},"schema_version":"1.0","source":{"id":"1905.10765","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10765","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10765v5","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10765","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"pith_short_12","alias_value":"GAHHCIMQJBAD","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"pith_short_16","alias_value":"GAHHCIMQJBAD47OR","created_at":"2026-07-05T04:57:40Z"},{"alias_kind":"pith_short_8","alias_value":"GAHHCIMQ","created_at":"2026-07-05T04:57:40Z"}],"graph_snapshots":[{"event_id":"sha256:0ad07a4104654636ee0e512980bfc9bdeeb19f1e034f75d7ec2eb69d969707b5","target":"graph","created_at":"2026-07-05T04:57:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1905.10765/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The notion of flat $\\lambda$-connections as the interpolation of usual flat connections and Higgs fields was suggested by Deligne and further studied by Simpson. Mochizuki established the Kobayashi--Hitchin-type theorem for $\\lambda$-flat bundles ($\\lambda\\neq 0$), which is called the Mochizuki correspondence. In this paper, on the one hand, we generalize Mochizuki's result to the case when the base being a compact balanced manifold, more precisely, we prove the existence of harmonic metrics on stable $\\lambda$-flat bundles ($\\lambda\\neq 0$). On the other hand, we study two applications of the","authors_text":"Pengfei Huang, Zhi Hu","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-05-26T09:02:46Z","title":"Simpson-Mochizuki Correspondence for $\\lambda$-Flat Bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10765","kind":"arxiv","version":5},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:88516742af6dec95f57526f6b6111ea5f88773de6efceec721a9b5c65de7659d","target":"record","created_at":"2026-07-05T04:57:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"bdf89ac03266839d76ff86b1fe198a7398e6644f23fdb27e7e688405ff17dcd7","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-05-26T09:02:46Z","title_canon_sha256":"cd2e8e0b96749c65f6904d6c12fb9a25787187af0cecb635c90080f5b4211109"},"schema_version":"1.0","source":{"id":"1905.10765","kind":"arxiv","version":5}},"canonical_sha256":"300e71219048403e7dd1e0b3f1e480ac2a43f239284daf933c84b00d43976daa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"300e71219048403e7dd1e0b3f1e480ac2a43f239284daf933c84b00d43976daa","first_computed_at":"2026-07-05T04:57:40.935100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:57:40.935100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YCesAaTezVjFuKF1ZulqtBOR2MWfM8yiMCsBkdsvkjMYgRq/ZuIJ3YBQG4fcmnqxgtXmbYUVWows6II1MtxABQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:57:40.935538Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.10765","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88516742af6dec95f57526f6b6111ea5f88773de6efceec721a9b5c65de7659d","sha256:0ad07a4104654636ee0e512980bfc9bdeeb19f1e034f75d7ec2eb69d969707b5"],"state_sha256":"de3b2945b21290898230d0d41a487a7db32d41252d05fae3674abd694274467c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Qy2ODG/UMVD8rtOvkXZwXIPxC7Tm0VXCYnbrIAPShzlynevVFEWl5rUKAAxy1K2JnbLzoeo3RroWXeKtwgUDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-22T09:27:23.013193Z","bundle_sha256":"c9c7b2b202fc8ab931595f1086ced552f7b9a93af8b2a013ca29e0d61552a44c"}}