{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:Q3OMLBU7ON5KVY5DU3CHMRLFJ7","short_pith_number":"pith:Q3OMLBU7","canonical_record":{"source":{"id":"2602.13838","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-02-14T17:29:20Z","cross_cats_sorted":[],"title_canon_sha256":"68b7eefb5a53c7bce5b5ba5605daf3948616ccc8b255b63a9eba6e482ee1adb5","abstract_canon_sha256":"ae5d27cb3d95292ea99a9b5bbaf4bbc3bebd790769563ed09be8bd0f0176abf8"},"schema_version":"1.0"},"canonical_sha256":"86dcc5869f737aaae3a3a6c47645654fe37f53e9850b7525826f52975f551407","source":{"kind":"arxiv","id":"2602.13838","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.13838","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"arxiv_version","alias_value":"2602.13838v2","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.13838","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"pith_short_12","alias_value":"Q3OMLBU7ON5K","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"pith_short_16","alias_value":"Q3OMLBU7ON5KVY5D","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"pith_short_8","alias_value":"Q3OMLBU7","created_at":"2026-06-19T16:12:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:Q3OMLBU7ON5KVY5DU3CHMRLFJ7","target":"record","payload":{"canonical_record":{"source":{"id":"2602.13838","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-02-14T17:29:20Z","cross_cats_sorted":[],"title_canon_sha256":"68b7eefb5a53c7bce5b5ba5605daf3948616ccc8b255b63a9eba6e482ee1adb5","abstract_canon_sha256":"ae5d27cb3d95292ea99a9b5bbaf4bbc3bebd790769563ed09be8bd0f0176abf8"},"schema_version":"1.0"},"canonical_sha256":"86dcc5869f737aaae3a3a6c47645654fe37f53e9850b7525826f52975f551407","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:51.301483Z","signature_b64":"3haLWrpsCb80+oDlun1ogIEavs9TJDCoahosaSpE9h5JPx7Fd4H8XbclPYCvDw3vVhR04+3NXT9HDO0x+/tkAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86dcc5869f737aaae3a3a6c47645654fe37f53e9850b7525826f52975f551407","last_reissued_at":"2026-06-19T16:12:51.301015Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:51.301015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.13838","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:12:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zg6iHj23DsdZtDK5mM8omh/EI7O8wrIM6kOhLKjRtWi36xd8eoh2yPMTu9XXmnodB2arpBnr2HrNCD2eHtBjCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:23:01.147554Z"},"content_sha256":"7e07c0196ce34ebbbb25b556706455adeaf13facf289c88c5613bd82da7adeee","schema_version":"1.0","event_id":"sha256:7e07c0196ce34ebbbb25b556706455adeaf13facf289c88c5613bd82da7adeee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:Q3OMLBU7ON5KVY5DU3CHMRLFJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Connections, metrics and Higgs fields on complex fiber bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mao Sheng, Nianzi Li","submitted_at":"2026-02-14T17:29:20Z","abstract_excerpt":"We give a representation of the extension class associated to a holomorphic fibration by curvature, generalizing the work of Atiyah on holomorphic principal bundles in a natural way. As an application, we obtain a nonlinear analogue of the classical result of Weil on characterizing the existence of flat connections on holomorphic vector bundles over compact Riemann surfaces. We further establish a faithful functor from the category of nonlinear flat bundles reductive of K\\\"ahler type to the category of nonlinear Higgs bundles over the same base, which is assumed to be a compact complex manifol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.13838","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/2602.13838/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":"2026-06-19T16:12:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xxL+NdcCEGQ7/qtF+NSb8XhLO4n4z0nCelGDvEGFwFhzZye6RnH27yZGkaxSzmAkC9r/qBRAZSUYFLMsBLmdBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:23:01.147929Z"},"content_sha256":"6b105dc5a435d8d61cd6a1d36ff5dfc700a3ba08c0f6d4b4013601fcf02c6d98","schema_version":"1.0","event_id":"sha256:6b105dc5a435d8d61cd6a1d36ff5dfc700a3ba08c0f6d4b4013601fcf02c6d98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q3OMLBU7ON5KVY5DU3CHMRLFJ7/bundle.json","state_url":"https://pith.science/pith/Q3OMLBU7ON5KVY5DU3CHMRLFJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q3OMLBU7ON5KVY5DU3CHMRLFJ7/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":"2026-06-27T06:23:01Z","links":{"resolver":"https://pith.science/pith/Q3OMLBU7ON5KVY5DU3CHMRLFJ7","bundle":"https://pith.science/pith/Q3OMLBU7ON5KVY5DU3CHMRLFJ7/bundle.json","state":"https://pith.science/pith/Q3OMLBU7ON5KVY5DU3CHMRLFJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q3OMLBU7ON5KVY5DU3CHMRLFJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Q3OMLBU7ON5KVY5DU3CHMRLFJ7","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":"ae5d27cb3d95292ea99a9b5bbaf4bbc3bebd790769563ed09be8bd0f0176abf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-02-14T17:29:20Z","title_canon_sha256":"68b7eefb5a53c7bce5b5ba5605daf3948616ccc8b255b63a9eba6e482ee1adb5"},"schema_version":"1.0","source":{"id":"2602.13838","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.13838","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"arxiv_version","alias_value":"2602.13838v2","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.13838","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"pith_short_12","alias_value":"Q3OMLBU7ON5K","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"pith_short_16","alias_value":"Q3OMLBU7ON5KVY5D","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"pith_short_8","alias_value":"Q3OMLBU7","created_at":"2026-06-19T16:12:51Z"}],"graph_snapshots":[{"event_id":"sha256:6b105dc5a435d8d61cd6a1d36ff5dfc700a3ba08c0f6d4b4013601fcf02c6d98","target":"graph","created_at":"2026-06-19T16:12:51Z","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/2602.13838/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a representation of the extension class associated to a holomorphic fibration by curvature, generalizing the work of Atiyah on holomorphic principal bundles in a natural way. As an application, we obtain a nonlinear analogue of the classical result of Weil on characterizing the existence of flat connections on holomorphic vector bundles over compact Riemann surfaces. We further establish a faithful functor from the category of nonlinear flat bundles reductive of K\\\"ahler type to the category of nonlinear Higgs bundles over the same base, which is assumed to be a compact complex manifol","authors_text":"Mao Sheng, Nianzi Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-02-14T17:29:20Z","title":"Connections, metrics and Higgs fields on complex fiber bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.13838","kind":"arxiv","version":2},"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":"sha256:7e07c0196ce34ebbbb25b556706455adeaf13facf289c88c5613bd82da7adeee","target":"record","created_at":"2026-06-19T16:12:51Z","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":"ae5d27cb3d95292ea99a9b5bbaf4bbc3bebd790769563ed09be8bd0f0176abf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-02-14T17:29:20Z","title_canon_sha256":"68b7eefb5a53c7bce5b5ba5605daf3948616ccc8b255b63a9eba6e482ee1adb5"},"schema_version":"1.0","source":{"id":"2602.13838","kind":"arxiv","version":2}},"canonical_sha256":"86dcc5869f737aaae3a3a6c47645654fe37f53e9850b7525826f52975f551407","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86dcc5869f737aaae3a3a6c47645654fe37f53e9850b7525826f52975f551407","first_computed_at":"2026-06-19T16:12:51.301015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:51.301015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3haLWrpsCb80+oDlun1ogIEavs9TJDCoahosaSpE9h5JPx7Fd4H8XbclPYCvDw3vVhR04+3NXT9HDO0x+/tkAg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:51.301483Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.13838","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e07c0196ce34ebbbb25b556706455adeaf13facf289c88c5613bd82da7adeee","sha256:6b105dc5a435d8d61cd6a1d36ff5dfc700a3ba08c0f6d4b4013601fcf02c6d98"],"state_sha256":"95f8bfd8c386d9774fb3d2654e7faa4ee17d3093ff0c22b94156a33d6cb2598c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0rIQ28Zr4GzLv95OIOHk7/bkrZkC//9Tg1ZgXzuxtdO6TWD2rWEQlnQi7SnEfei3FdcIzMP9McYCLO+gjUGFBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T06:23:01.149973Z","bundle_sha256":"91fff5f10834bc2b82fd893a4f4d377497ae729b3b74ec8071d56c53e7a3b858"}}