{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QGNTYOJJODLU5QFQ74HJJACGA2","short_pith_number":"pith:QGNTYOJJ","canonical_record":{"source":{"id":"1606.09353","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-30T05:47:41Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"a4e08725e1ee5579666146d85d63f22cbf364cdfa3d3e84151a4eaf81831122e","abstract_canon_sha256":"7ddadb4cf134472de2577e19a4066fbedfb9e50e342bc00b60400a26d547bcaa"},"schema_version":"1.0"},"canonical_sha256":"819b3c392970d74ec0b0ff0e94804606b9fab6fbfa7dbfd0e0e76376b30920e1","source":{"kind":"arxiv","id":"1606.09353","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09353","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09353v3","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09353","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"pith_short_12","alias_value":"QGNTYOJJODLU","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QGNTYOJJODLU5QFQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QGNTYOJJ","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QGNTYOJJODLU5QFQ74HJJACGA2","target":"record","payload":{"canonical_record":{"source":{"id":"1606.09353","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-30T05:47:41Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"a4e08725e1ee5579666146d85d63f22cbf364cdfa3d3e84151a4eaf81831122e","abstract_canon_sha256":"7ddadb4cf134472de2577e19a4066fbedfb9e50e342bc00b60400a26d547bcaa"},"schema_version":"1.0"},"canonical_sha256":"819b3c392970d74ec0b0ff0e94804606b9fab6fbfa7dbfd0e0e76376b30920e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:24.713709Z","signature_b64":"Ka6+ZiKape3jZl88eF5AARGLPwpff+y1nh9VbBrsUudtqo1vawzcehvC48LdzeD6s+MHpyHIE+ba16SYqb5pAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"819b3c392970d74ec0b0ff0e94804606b9fab6fbfa7dbfd0e0e76376b30920e1","last_reissued_at":"2026-05-18T00:36:24.712887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:24.712887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.09353","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v8hXCwacpeG3K6xXtsMsdJ2vz6J42oFbGYR7v+PMnYKC9IXZ+XmnwbWbpYDrWPbeR3MFl206rPOMPEtRBzjcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:42:48.618926Z"},"content_sha256":"748ce70b7db502fa2c73cdc61dd32ee002248db3a214f0488f617b0909cefaa0","schema_version":"1.0","event_id":"sha256:748ce70b7db502fa2c73cdc61dd32ee002248db3a214f0488f617b0909cefaa0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QGNTYOJJODLU5QFQ74HJJACGA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Yang-Mills-Higgs connections on Calabi-Yau manifolds, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Alessio Lo Giudice, Beatriz Gra\\~na Otero, Indranil Biswas, Ugo Bruzzo","submitted_at":"2016-06-30T05:47:41Z","abstract_excerpt":"In this paper we study Higgs and co-Higgs $G$-bundles on compact K\\\"ahler manifolds $X$. Our main results are: (1) If $X$ is Calabi-Yau, and $(E,\\,\\theta)$ is a semistable Higgs or co-Higgs $G$-bundle on $X$, then the principal $G$-bundle $E$ is semistable. In particular, there is a deformation retract of ${\\mathcal M}_H(G)$ onto $\\mathcal M(G)$, where $\\mathcal M(G)$ is the moduli space of semistable principal $G$-bundles with vanishing rational Chern classes on $X$, and analogously, ${\\mathcal M}_H(G)$ is the moduli space of semistable principal Higgs $G$-bundles with vanishing rational Cher"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09353","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m75I4Gui9zVfQw6YLiKGgAC3J6wm2KLCDa3MxelOoPRgTtR9Io071pns+Yo8LioQHdj2Wzz6LCw9nAeVCm3bAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:42:48.619264Z"},"content_sha256":"bdd4cc15bedb88d65a9a961be37f50fb093f08cf74c8506d1645aefb34d037be","schema_version":"1.0","event_id":"sha256:bdd4cc15bedb88d65a9a961be37f50fb093f08cf74c8506d1645aefb34d037be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QGNTYOJJODLU5QFQ74HJJACGA2/bundle.json","state_url":"https://pith.science/pith/QGNTYOJJODLU5QFQ74HJJACGA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QGNTYOJJODLU5QFQ74HJJACGA2/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":"2026-06-02T04:42:48Z","links":{"resolver":"https://pith.science/pith/QGNTYOJJODLU5QFQ74HJJACGA2","bundle":"https://pith.science/pith/QGNTYOJJODLU5QFQ74HJJACGA2/bundle.json","state":"https://pith.science/pith/QGNTYOJJODLU5QFQ74HJJACGA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QGNTYOJJODLU5QFQ74HJJACGA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QGNTYOJJODLU5QFQ74HJJACGA2","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":"7ddadb4cf134472de2577e19a4066fbedfb9e50e342bc00b60400a26d547bcaa","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-30T05:47:41Z","title_canon_sha256":"a4e08725e1ee5579666146d85d63f22cbf364cdfa3d3e84151a4eaf81831122e"},"schema_version":"1.0","source":{"id":"1606.09353","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09353","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09353v3","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09353","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"pith_short_12","alias_value":"QGNTYOJJODLU","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QGNTYOJJODLU5QFQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QGNTYOJJ","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:bdd4cc15bedb88d65a9a961be37f50fb093f08cf74c8506d1645aefb34d037be","target":"graph","created_at":"2026-05-18T00:36:24Z","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"},"paper":{"abstract_excerpt":"In this paper we study Higgs and co-Higgs $G$-bundles on compact K\\\"ahler manifolds $X$. Our main results are: (1) If $X$ is Calabi-Yau, and $(E,\\,\\theta)$ is a semistable Higgs or co-Higgs $G$-bundle on $X$, then the principal $G$-bundle $E$ is semistable. In particular, there is a deformation retract of ${\\mathcal M}_H(G)$ onto $\\mathcal M(G)$, where $\\mathcal M(G)$ is the moduli space of semistable principal $G$-bundles with vanishing rational Chern classes on $X$, and analogously, ${\\mathcal M}_H(G)$ is the moduli space of semistable principal Higgs $G$-bundles with vanishing rational Cher","authors_text":"Alessio Lo Giudice, Beatriz Gra\\~na Otero, Indranil Biswas, Ugo Bruzzo","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-30T05:47:41Z","title":"Yang-Mills-Higgs connections on Calabi-Yau manifolds, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09353","kind":"arxiv","version":3},"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":"sha256:748ce70b7db502fa2c73cdc61dd32ee002248db3a214f0488f617b0909cefaa0","target":"record","created_at":"2026-05-18T00:36:24Z","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":"7ddadb4cf134472de2577e19a4066fbedfb9e50e342bc00b60400a26d547bcaa","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-30T05:47:41Z","title_canon_sha256":"a4e08725e1ee5579666146d85d63f22cbf364cdfa3d3e84151a4eaf81831122e"},"schema_version":"1.0","source":{"id":"1606.09353","kind":"arxiv","version":3}},"canonical_sha256":"819b3c392970d74ec0b0ff0e94804606b9fab6fbfa7dbfd0e0e76376b30920e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"819b3c392970d74ec0b0ff0e94804606b9fab6fbfa7dbfd0e0e76376b30920e1","first_computed_at":"2026-05-18T00:36:24.712887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:24.712887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ka6+ZiKape3jZl88eF5AARGLPwpff+y1nh9VbBrsUudtqo1vawzcehvC48LdzeD6s+MHpyHIE+ba16SYqb5pAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:24.713709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09353","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:748ce70b7db502fa2c73cdc61dd32ee002248db3a214f0488f617b0909cefaa0","sha256:bdd4cc15bedb88d65a9a961be37f50fb093f08cf74c8506d1645aefb34d037be"],"state_sha256":"4a28355b24a7dd0d51e9d8cb652d67d017a6f9962e2f5a1864d7c917f488214d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UwDX6CN21dHv3ZRQ1WswWXjqyAwllO1cDmxBs9zJ5aerXpGBgy3h/iCUl/DGPLXyE2UyTpbnPQ7JQW95LvzkBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:42:48.621146Z","bundle_sha256":"925e20da7d03f5094dae5c1bc1e54c244924b1f12d431292d33e018a40c6e994"}}