{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:WIVI4CHBSDK3ZTM632UQXVEREL","short_pith_number":"pith:WIVI4CHB","canonical_record":{"source":{"id":"2312.07554","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-12-07T12:07:00Z","cross_cats_sorted":[],"title_canon_sha256":"df186ad05e6725435fd054b8d57131409f2d541c4cc07a223c9143fef46b2128","abstract_canon_sha256":"71e792e5e5c95a947596dc125586229f7a86debc8876b8ad10c50d0d671e10f7"},"schema_version":"1.0"},"canonical_sha256":"b22a8e08e190d5bccd9edea90bd49122d4ab5d11e6d9d737de4a7e6d295c5c61","source":{"kind":"arxiv","id":"2312.07554","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.07554","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"2312.07554v1","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.07554","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"WIVI4CHBSDK3","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"pith_short_16","alias_value":"WIVI4CHBSDK3ZTM6","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"pith_short_8","alias_value":"WIVI4CHB","created_at":"2026-07-05T07:23:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:WIVI4CHBSDK3ZTM632UQXVEREL","target":"record","payload":{"canonical_record":{"source":{"id":"2312.07554","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-12-07T12:07:00Z","cross_cats_sorted":[],"title_canon_sha256":"df186ad05e6725435fd054b8d57131409f2d541c4cc07a223c9143fef46b2128","abstract_canon_sha256":"71e792e5e5c95a947596dc125586229f7a86debc8876b8ad10c50d0d671e10f7"},"schema_version":"1.0"},"canonical_sha256":"b22a8e08e190d5bccd9edea90bd49122d4ab5d11e6d9d737de4a7e6d295c5c61","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:23:32.599360Z","signature_b64":"5WAH5lQej+WTFvNDQyHTUOU2sbEGq3gUTYG4Dk2HgnTJwZd1vWgeGGPC5VlWlNNIQ4o33/jy7irpWOctc8a8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b22a8e08e190d5bccd9edea90bd49122d4ab5d11e6d9d737de4a7e6d295c5c61","last_reissued_at":"2026-07-05T07:23:32.598978Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:23:32.598978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.07554","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eqiyTOTTU0yciQ1z+vx+MKPdkqaiAjiBGAD9AiewOWGR8UZFoSLzLPAO9/7LzGxsxV+IotRf3AyX7Lott38nAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:42:13.151532Z"},"content_sha256":"a0aeebd75277e9a7c78661cffbbe092ca84efe7a699828606b88c0a7a0b2dfa8","schema_version":"1.0","event_id":"sha256:a0aeebd75277e9a7c78661cffbbe092ca84efe7a699828606b88c0a7a0b2dfa8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:WIVI4CHBSDK3ZTM632UQXVEREL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The small $p$-adic Simpson correspondence in terms of moduli spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arthur-C\\'esar Le Bras, Ben Heuer, Johannes Ansch\\\"utz","submitted_at":"2023-12-07T12:07:00Z","abstract_excerpt":"For any rigid space over a perfectoid extension of $\\mathbb Q_p$ that admits a liftable smooth formal model, we construct an isomorphism between the moduli stacks of Hitchin-small Higgs bundles and Hitchin-small v-vector bundles. This constitutes a moduli-theoretic improvement of the small $p$-adic Simpson correspondence of Faltings, Abbes-Gros, Tsuji and Wang. Our construction is based on the Hodge-Tate stack of Bhatt-Lurie. We also prove an analogous correspondence in the arithmetic setting of rigid spaces of good reduction over $p$-adic fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.07554","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/2312.07554/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":"2026-07-05T07:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+1z+SwC1k5DFVeFeXl43r8Pf9Ya2eHuNR4AiDyucgD9qVDRsi/wOWTOT+mJF2hUoWz0dKt3/TjeE4s2CekyOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:42:13.151900Z"},"content_sha256":"f5910cecd04de2cf167b4ea8078fe478dae18d41fc46580681ce38f463e96817","schema_version":"1.0","event_id":"sha256:f5910cecd04de2cf167b4ea8078fe478dae18d41fc46580681ce38f463e96817"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WIVI4CHBSDK3ZTM632UQXVEREL/bundle.json","state_url":"https://pith.science/pith/WIVI4CHBSDK3ZTM632UQXVEREL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WIVI4CHBSDK3ZTM632UQXVEREL/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":"2026-07-07T13:42:13Z","links":{"resolver":"https://pith.science/pith/WIVI4CHBSDK3ZTM632UQXVEREL","bundle":"https://pith.science/pith/WIVI4CHBSDK3ZTM632UQXVEREL/bundle.json","state":"https://pith.science/pith/WIVI4CHBSDK3ZTM632UQXVEREL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WIVI4CHBSDK3ZTM632UQXVEREL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:WIVI4CHBSDK3ZTM632UQXVEREL","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":"71e792e5e5c95a947596dc125586229f7a86debc8876b8ad10c50d0d671e10f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-12-07T12:07:00Z","title_canon_sha256":"df186ad05e6725435fd054b8d57131409f2d541c4cc07a223c9143fef46b2128"},"schema_version":"1.0","source":{"id":"2312.07554","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.07554","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"2312.07554v1","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.07554","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"WIVI4CHBSDK3","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"pith_short_16","alias_value":"WIVI4CHBSDK3ZTM6","created_at":"2026-07-05T07:23:32Z"},{"alias_kind":"pith_short_8","alias_value":"WIVI4CHB","created_at":"2026-07-05T07:23:32Z"}],"graph_snapshots":[{"event_id":"sha256:f5910cecd04de2cf167b4ea8078fe478dae18d41fc46580681ce38f463e96817","target":"graph","created_at":"2026-07-05T07:23:32Z","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/2312.07554/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For any rigid space over a perfectoid extension of $\\mathbb Q_p$ that admits a liftable smooth formal model, we construct an isomorphism between the moduli stacks of Hitchin-small Higgs bundles and Hitchin-small v-vector bundles. This constitutes a moduli-theoretic improvement of the small $p$-adic Simpson correspondence of Faltings, Abbes-Gros, Tsuji and Wang. Our construction is based on the Hodge-Tate stack of Bhatt-Lurie. We also prove an analogous correspondence in the arithmetic setting of rigid spaces of good reduction over $p$-adic fields.","authors_text":"Arthur-C\\'esar Le Bras, Ben Heuer, Johannes Ansch\\\"utz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-12-07T12:07:00Z","title":"The small $p$-adic Simpson correspondence in terms of moduli spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.07554","kind":"arxiv","version":1},"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:a0aeebd75277e9a7c78661cffbbe092ca84efe7a699828606b88c0a7a0b2dfa8","target":"record","created_at":"2026-07-05T07:23:32Z","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":"71e792e5e5c95a947596dc125586229f7a86debc8876b8ad10c50d0d671e10f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-12-07T12:07:00Z","title_canon_sha256":"df186ad05e6725435fd054b8d57131409f2d541c4cc07a223c9143fef46b2128"},"schema_version":"1.0","source":{"id":"2312.07554","kind":"arxiv","version":1}},"canonical_sha256":"b22a8e08e190d5bccd9edea90bd49122d4ab5d11e6d9d737de4a7e6d295c5c61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b22a8e08e190d5bccd9edea90bd49122d4ab5d11e6d9d737de4a7e6d295c5c61","first_computed_at":"2026-07-05T07:23:32.598978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:23:32.598978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5WAH5lQej+WTFvNDQyHTUOU2sbEGq3gUTYG4Dk2HgnTJwZd1vWgeGGPC5VlWlNNIQ4o33/jy7irpWOctc8a8Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:23:32.599360Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.07554","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0aeebd75277e9a7c78661cffbbe092ca84efe7a699828606b88c0a7a0b2dfa8","sha256:f5910cecd04de2cf167b4ea8078fe478dae18d41fc46580681ce38f463e96817"],"state_sha256":"32de0a9ff386b0236bb751c32779915162e3fa113f03ed5e21d11b6db0c2fdd0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ms1wVH+JFvmMq8XVz8J6kF/+FWeMZ4O5D2Ij1aTzuTYMj39oAwCI6JtLHKxZRy2xDaK3bYccC1J5R0YY0Yy/AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T13:42:13.153761Z","bundle_sha256":"16f6209593e41d6d3ce15cbfd1912cff938519d094e48fbd380d04b1359569bf"}}