{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:5QITQVBBWCYJZUGMQOTYDSBFES","short_pith_number":"pith:5QITQVBB","canonical_record":{"source":{"id":"1508.02650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-11T16:31:25Z","cross_cats_sorted":[],"title_canon_sha256":"e16530ddd3bb74fe11c8e484723dfb773f8b5cea8ebb9fe8dc6131c7c34b419a","abstract_canon_sha256":"14e851f1cc259dc0d95d482d44cbe70aeccdfda8b95e922bfe3572b2d1865222"},"schema_version":"1.0"},"canonical_sha256":"ec11385421b0b09cd0cc83a781c825248119c1f4b809098ffee9a720cc34504f","source":{"kind":"arxiv","id":"1508.02650","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02650","created_at":"2026-05-17T23:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02650v2","created_at":"2026-05-17T23:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02650","created_at":"2026-05-17T23:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"5QITQVBBWCYJ","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5QITQVBBWCYJZUGM","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5QITQVBB","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:5QITQVBBWCYJZUGMQOTYDSBFES","target":"record","payload":{"canonical_record":{"source":{"id":"1508.02650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-11T16:31:25Z","cross_cats_sorted":[],"title_canon_sha256":"e16530ddd3bb74fe11c8e484723dfb773f8b5cea8ebb9fe8dc6131c7c34b419a","abstract_canon_sha256":"14e851f1cc259dc0d95d482d44cbe70aeccdfda8b95e922bfe3572b2d1865222"},"schema_version":"1.0"},"canonical_sha256":"ec11385421b0b09cd0cc83a781c825248119c1f4b809098ffee9a720cc34504f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:21.317692Z","signature_b64":"TGoliuGR3ukpUec/Rwr2oQQpH3m+W7+Mx/Hy65CjMvN/hiB2qVACt44lA904FFhhF1axnH9NnQVLfTxEUOVYBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec11385421b0b09cd0cc83a781c825248119c1f4b809098ffee9a720cc34504f","last_reissued_at":"2026-05-17T23:45:21.317036Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:21.317036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.02650","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":"2026-05-17T23:45:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SBr+12Y8Ido8cGIhxXkbJxtPdc6PL2XqRJVirrjxkwVqOAB1B3X6s+Zi9LVOvOzVBvXvRUmemmTWlBtt0gDgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:52:50.097769Z"},"content_sha256":"006ae3e28af45cd452d53a0ca59b949a0f898596abe3aa88b160a064d311ec5e","schema_version":"1.0","event_id":"sha256:006ae3e28af45cd452d53a0ca59b949a0f898596abe3aa88b160a064d311ec5e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:5QITQVBBWCYJZUGMQOTYDSBFES","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higgs bundles and exceptional isogenies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Laura P. Schaposnik, Steven B. Bradlow","submitted_at":"2015-08-11T16:31:25Z","abstract_excerpt":"We explore relations between Higgs bundles that result from isogenies between low-dimensional Lie groups, with special attention to the spectral data for the Higgs bundles. We focus on isogenies onto $SO(4,C)$ and $SO(6,C)$ and their split real forms. Using fiber products of spectral curves, we obtain directly the desingularizations of the (necessarily singular) spectral curves associated to orthogonal Higgs bundles. In the case of $SO(6,C)$ our construction can be interpreted as a new description of Recillas' trigonal construction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02650","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":""},"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":"2026-05-17T23:45:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U05NQ9XBxBGEC+yLP54R/3iNH8BzIzX2o0JqzwF0FG2Atkqski5G8dafMYe174lzoqnbh2bPpEz9koKDt/6+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:52:50.098118Z"},"content_sha256":"a416ebe24c613a55053a782324d5e3bec91fda11821349037bb5699b07df89fe","schema_version":"1.0","event_id":"sha256:a416ebe24c613a55053a782324d5e3bec91fda11821349037bb5699b07df89fe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5QITQVBBWCYJZUGMQOTYDSBFES/bundle.json","state_url":"https://pith.science/pith/5QITQVBBWCYJZUGMQOTYDSBFES/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5QITQVBBWCYJZUGMQOTYDSBFES/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":"2026-06-04T05:52:50Z","links":{"resolver":"https://pith.science/pith/5QITQVBBWCYJZUGMQOTYDSBFES","bundle":"https://pith.science/pith/5QITQVBBWCYJZUGMQOTYDSBFES/bundle.json","state":"https://pith.science/pith/5QITQVBBWCYJZUGMQOTYDSBFES/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5QITQVBBWCYJZUGMQOTYDSBFES/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5QITQVBBWCYJZUGMQOTYDSBFES","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":"14e851f1cc259dc0d95d482d44cbe70aeccdfda8b95e922bfe3572b2d1865222","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-11T16:31:25Z","title_canon_sha256":"e16530ddd3bb74fe11c8e484723dfb773f8b5cea8ebb9fe8dc6131c7c34b419a"},"schema_version":"1.0","source":{"id":"1508.02650","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02650","created_at":"2026-05-17T23:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02650v2","created_at":"2026-05-17T23:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02650","created_at":"2026-05-17T23:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"5QITQVBBWCYJ","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5QITQVBBWCYJZUGM","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5QITQVBB","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:a416ebe24c613a55053a782324d5e3bec91fda11821349037bb5699b07df89fe","target":"graph","created_at":"2026-05-17T23:45:21Z","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":"We explore relations between Higgs bundles that result from isogenies between low-dimensional Lie groups, with special attention to the spectral data for the Higgs bundles. We focus on isogenies onto $SO(4,C)$ and $SO(6,C)$ and their split real forms. Using fiber products of spectral curves, we obtain directly the desingularizations of the (necessarily singular) spectral curves associated to orthogonal Higgs bundles. In the case of $SO(6,C)$ our construction can be interpreted as a new description of Recillas' trigonal construction.","authors_text":"Laura P. Schaposnik, Steven B. Bradlow","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-11T16:31:25Z","title":"Higgs bundles and exceptional isogenies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02650","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":"sha256:006ae3e28af45cd452d53a0ca59b949a0f898596abe3aa88b160a064d311ec5e","target":"record","created_at":"2026-05-17T23:45:21Z","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":"14e851f1cc259dc0d95d482d44cbe70aeccdfda8b95e922bfe3572b2d1865222","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-11T16:31:25Z","title_canon_sha256":"e16530ddd3bb74fe11c8e484723dfb773f8b5cea8ebb9fe8dc6131c7c34b419a"},"schema_version":"1.0","source":{"id":"1508.02650","kind":"arxiv","version":2}},"canonical_sha256":"ec11385421b0b09cd0cc83a781c825248119c1f4b809098ffee9a720cc34504f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec11385421b0b09cd0cc83a781c825248119c1f4b809098ffee9a720cc34504f","first_computed_at":"2026-05-17T23:45:21.317036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:21.317036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TGoliuGR3ukpUec/Rwr2oQQpH3m+W7+Mx/Hy65CjMvN/hiB2qVACt44lA904FFhhF1axnH9NnQVLfTxEUOVYBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:21.317692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.02650","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:006ae3e28af45cd452d53a0ca59b949a0f898596abe3aa88b160a064d311ec5e","sha256:a416ebe24c613a55053a782324d5e3bec91fda11821349037bb5699b07df89fe"],"state_sha256":"d411deab1989b261da2697e5cd3fbe125099ab3d1eb94658573ea2c843dbd6dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wrZTqsZz+iAGdEjvX0ZcuILoPSnkjaqM2q8RGuWWPRmVtd+Y/k1hAGjh53uKEeiDN+DtR7kJfAcMq9PFr7aJAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T05:52:50.100213Z","bundle_sha256":"957e0e833aa8bb28652e205c2c6ab1ab8da47af5c6f3a8edb83470536f9af8d6"}}