{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DHT3D3N275YNAO5KOCOFSLZTKR","short_pith_number":"pith:DHT3D3N2","canonical_record":{"source":{"id":"1710.10152","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-27T14:20:37Z","cross_cats_sorted":[],"title_canon_sha256":"d38d4ce93601c09eeff1b269a4b3cce9f1cf5ccb7e17534ae1f00925d9ce4176","abstract_canon_sha256":"c009a3b458a790df87cca3a645f0205ed92586cb6b418ae2f5b7f0f1dfcb0a45"},"schema_version":"1.0"},"canonical_sha256":"19e7b1edbaff70d03baa709c592f33544619c8ec5568968094ea0c8c52b3bfee","source":{"kind":"arxiv","id":"1710.10152","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10152","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10152v1","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10152","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"pith_short_12","alias_value":"DHT3D3N275YN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DHT3D3N275YNAO5K","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DHT3D3N2","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DHT3D3N275YNAO5KOCOFSLZTKR","target":"record","payload":{"canonical_record":{"source":{"id":"1710.10152","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-27T14:20:37Z","cross_cats_sorted":[],"title_canon_sha256":"d38d4ce93601c09eeff1b269a4b3cce9f1cf5ccb7e17534ae1f00925d9ce4176","abstract_canon_sha256":"c009a3b458a790df87cca3a645f0205ed92586cb6b418ae2f5b7f0f1dfcb0a45"},"schema_version":"1.0"},"canonical_sha256":"19e7b1edbaff70d03baa709c592f33544619c8ec5568968094ea0c8c52b3bfee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:44.429420Z","signature_b64":"zIjXEtyQ8rNvb6Y43Rkfch8wgj+r81bTbHTm/r65/kLzuvz940/nGi7YP7yN5BfTRA7hqpZ4SyfwkjQHTVyWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19e7b1edbaff70d03baa709c592f33544619c8ec5568968094ea0c8c52b3bfee","last_reissued_at":"2026-05-17T23:53:44.428938Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:44.428938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.10152","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":"2026-05-17T23:53:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aF6Eym2+XHN92BhPhAGplOhBEEkvY94PhizyIh6JkGD/FVouqAQbzTFfGzw8+WFl+IywHmVbKT4GgRQt8ANBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T19:38:04.172024Z"},"content_sha256":"0d8d7a96c3010640962a31d5c3ced69fbd462b5f14b16eea384165fa24089e44","schema_version":"1.0","event_id":"sha256:0d8d7a96c3010640962a31d5c3ced69fbd462b5f14b16eea384165fa24089e44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DHT3D3N275YNAO5KOCOFSLZTKR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Very stable bundles and properness of the Hitchin map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ana Pe\\'on-Nieto, Christian Pauly","submitted_at":"2017-10-27T14:20:37Z","abstract_excerpt":"Let $X$ be a smooth complex projective curve of genus $g\\geq 2$ and let $K$ be its canonical bundle. In this note we show that a stable vector bundle $E$ on $X$ is very stable, i.e. $E$ has no non-zero nilpotent Higgs field, if and only if the restriction of the Hitchin map to the vector space of Higgs fields $H^0(X, \\mathrm{End}(E) \\otimes K)$ is a proper map."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10152","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DDNNu8wlShEfaR1iArQ205fUInsLx9wDKyTicwWvwHYpBNqA4Ok11t1q5OJGCGGYuHy+mkDCLvHbj+enpVNnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T19:38:04.172465Z"},"content_sha256":"8efb6e647adddfc48d4a6c6a588d9596bef756bf0b1984cb9baac7e0aab87add","schema_version":"1.0","event_id":"sha256:8efb6e647adddfc48d4a6c6a588d9596bef756bf0b1984cb9baac7e0aab87add"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DHT3D3N275YNAO5KOCOFSLZTKR/bundle.json","state_url":"https://pith.science/pith/DHT3D3N275YNAO5KOCOFSLZTKR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DHT3D3N275YNAO5KOCOFSLZTKR/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":"2026-08-16T19:38:04Z","links":{"resolver":"https://pith.science/pith/DHT3D3N275YNAO5KOCOFSLZTKR","bundle":"https://pith.science/pith/DHT3D3N275YNAO5KOCOFSLZTKR/bundle.json","state":"https://pith.science/pith/DHT3D3N275YNAO5KOCOFSLZTKR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DHT3D3N275YNAO5KOCOFSLZTKR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DHT3D3N275YNAO5KOCOFSLZTKR","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":"c009a3b458a790df87cca3a645f0205ed92586cb6b418ae2f5b7f0f1dfcb0a45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-27T14:20:37Z","title_canon_sha256":"d38d4ce93601c09eeff1b269a4b3cce9f1cf5ccb7e17534ae1f00925d9ce4176"},"schema_version":"1.0","source":{"id":"1710.10152","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10152","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10152v1","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10152","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"pith_short_12","alias_value":"DHT3D3N275YN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DHT3D3N275YNAO5K","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DHT3D3N2","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:8efb6e647adddfc48d4a6c6a588d9596bef756bf0b1984cb9baac7e0aab87add","target":"graph","created_at":"2026-05-17T23:53:44Z","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":"Let $X$ be a smooth complex projective curve of genus $g\\geq 2$ and let $K$ be its canonical bundle. In this note we show that a stable vector bundle $E$ on $X$ is very stable, i.e. $E$ has no non-zero nilpotent Higgs field, if and only if the restriction of the Hitchin map to the vector space of Higgs fields $H^0(X, \\mathrm{End}(E) \\otimes K)$ is a proper map.","authors_text":"Ana Pe\\'on-Nieto, Christian Pauly","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-27T14:20:37Z","title":"Very stable bundles and properness of the Hitchin map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10152","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":"sha256:0d8d7a96c3010640962a31d5c3ced69fbd462b5f14b16eea384165fa24089e44","target":"record","created_at":"2026-05-17T23:53:44Z","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":"c009a3b458a790df87cca3a645f0205ed92586cb6b418ae2f5b7f0f1dfcb0a45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-27T14:20:37Z","title_canon_sha256":"d38d4ce93601c09eeff1b269a4b3cce9f1cf5ccb7e17534ae1f00925d9ce4176"},"schema_version":"1.0","source":{"id":"1710.10152","kind":"arxiv","version":1}},"canonical_sha256":"19e7b1edbaff70d03baa709c592f33544619c8ec5568968094ea0c8c52b3bfee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19e7b1edbaff70d03baa709c592f33544619c8ec5568968094ea0c8c52b3bfee","first_computed_at":"2026-05-17T23:53:44.428938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:44.428938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zIjXEtyQ8rNvb6Y43Rkfch8wgj+r81bTbHTm/r65/kLzuvz940/nGi7YP7yN5BfTRA7hqpZ4SyfwkjQHTVyWBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:44.429420Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10152","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d8d7a96c3010640962a31d5c3ced69fbd462b5f14b16eea384165fa24089e44","sha256:8efb6e647adddfc48d4a6c6a588d9596bef756bf0b1984cb9baac7e0aab87add"],"state_sha256":"9fa90fcb120cd6bdf192e5ea830bd3ee5419465ef3d7b0f1b473a87fab83743f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wEXl6t9LYpmSD1COMQcICqmYE2RuHFRzprDOZ/HNhA/oRXPK/ygCxMBHmksMZW5Y0RBcF1SkCexmtm/KKc0wDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T19:38:04.176294Z","bundle_sha256":"48f2e2bb320a1053baed402995847ebc559e7d64a8b27b8fad1f09e32f29129f"}}