{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WOWMC3WDOK32NQCYZFAIITDICT","short_pith_number":"pith:WOWMC3WD","canonical_record":{"source":{"id":"1703.00636","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T06:43:13Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"e5f9ad8d647ca2af717b8503b1b013f25e1852fdc6e4bc999e2f7c276b7331bc","abstract_canon_sha256":"0aa3866771b0f5a98321cbd1a9daecb969fcb53f004f79246d572a60eb3dc8aa"},"schema_version":"1.0"},"canonical_sha256":"b3acc16ec372b7a6c058c940844c6814f85511a047cf1ff1629a16f59850adc1","source":{"kind":"arxiv","id":"1703.00636","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00636","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00636v1","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00636","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"pith_short_12","alias_value":"WOWMC3WDOK32","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WOWMC3WDOK32NQCY","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WOWMC3WD","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WOWMC3WDOK32NQCYZFAIITDICT","target":"record","payload":{"canonical_record":{"source":{"id":"1703.00636","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T06:43:13Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"e5f9ad8d647ca2af717b8503b1b013f25e1852fdc6e4bc999e2f7c276b7331bc","abstract_canon_sha256":"0aa3866771b0f5a98321cbd1a9daecb969fcb53f004f79246d572a60eb3dc8aa"},"schema_version":"1.0"},"canonical_sha256":"b3acc16ec372b7a6c058c940844c6814f85511a047cf1ff1629a16f59850adc1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:41.186832Z","signature_b64":"JmioVdrvIMqolDe0BUdEcMu7nvCrgggK9dbKaj5vVe0v48f2duGIlLwrgJV5Z1nPw/q62KkinEfChSNLTTSrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3acc16ec372b7a6c058c940844c6814f85511a047cf1ff1629a16f59850adc1","last_reissued_at":"2026-05-18T00:49:41.186264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:41.186264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.00636","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":"2026-05-18T00:49:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"shHe7XYM6C8+DcjMjEvnC72N8SwraJgyupr0hurxhpVajgN8TrUzYp48jY+/o2BySnHLiIzWjAygGN6157EfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:42:37.290811Z"},"content_sha256":"bd5d92166cd6f31a6353b88d3bf34ce6f12ac243808c954a6922fadba4528eee","schema_version":"1.0","event_id":"sha256:bd5d92166cd6f31a6353b88d3bf34ce6f12ac243808c954a6922fadba4528eee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WOWMC3WDOK32NQCYZFAIITDICT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-geodesic variations of Hodge structure of maximum dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Domingo Toledo, James A. Carlson","submitted_at":"2017-03-02T06:43:13Z","abstract_excerpt":"There are a number of examples of variations of Hodge structure of maximum dimension. However, to our knowledge, those that are global on the level of the period domain are totally geodesic subspaces that arise from an orbit of a subgroup of the group of the period domain. That is, they are defined by Lie theory rather than by algebraic geometry. In this note, we give an example of a variation of maximum dimension which is nowhere tangent to a geodesic variation. The period domain in question, which classifies weight two Hodge structures with $h^{2,0} = 2$ and $h^{1,1} = 28$, is of dimension $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00636","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":"2026-05-18T00:49:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J/Hdk+mDxvXamDJS6fnTVZqniC8BtpYhg+ssu22pAqgJZzaOavRwWbCW/niK1IJ/cdDSgZcBHYfKdOHprMmtAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:42:37.292309Z"},"content_sha256":"6c89ee897cf6ec625d26dc74284f48c6204c3c8cc01fe03321523a7dd9636a6f","schema_version":"1.0","event_id":"sha256:6c89ee897cf6ec625d26dc74284f48c6204c3c8cc01fe03321523a7dd9636a6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WOWMC3WDOK32NQCYZFAIITDICT/bundle.json","state_url":"https://pith.science/pith/WOWMC3WDOK32NQCYZFAIITDICT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WOWMC3WDOK32NQCYZFAIITDICT/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":"2026-06-07T22:42:37Z","links":{"resolver":"https://pith.science/pith/WOWMC3WDOK32NQCYZFAIITDICT","bundle":"https://pith.science/pith/WOWMC3WDOK32NQCYZFAIITDICT/bundle.json","state":"https://pith.science/pith/WOWMC3WDOK32NQCYZFAIITDICT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WOWMC3WDOK32NQCYZFAIITDICT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WOWMC3WDOK32NQCYZFAIITDICT","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":"0aa3866771b0f5a98321cbd1a9daecb969fcb53f004f79246d572a60eb3dc8aa","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T06:43:13Z","title_canon_sha256":"e5f9ad8d647ca2af717b8503b1b013f25e1852fdc6e4bc999e2f7c276b7331bc"},"schema_version":"1.0","source":{"id":"1703.00636","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00636","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00636v1","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00636","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"pith_short_12","alias_value":"WOWMC3WDOK32","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WOWMC3WDOK32NQCY","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WOWMC3WD","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:6c89ee897cf6ec625d26dc74284f48c6204c3c8cc01fe03321523a7dd9636a6f","target":"graph","created_at":"2026-05-18T00:49:41Z","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":"There are a number of examples of variations of Hodge structure of maximum dimension. However, to our knowledge, those that are global on the level of the period domain are totally geodesic subspaces that arise from an orbit of a subgroup of the group of the period domain. That is, they are defined by Lie theory rather than by algebraic geometry. In this note, we give an example of a variation of maximum dimension which is nowhere tangent to a geodesic variation. The period domain in question, which classifies weight two Hodge structures with $h^{2,0} = 2$ and $h^{1,1} = 28$, is of dimension $","authors_text":"Domingo Toledo, James A. Carlson","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T06:43:13Z","title":"Non-geodesic variations of Hodge structure of maximum dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00636","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:bd5d92166cd6f31a6353b88d3bf34ce6f12ac243808c954a6922fadba4528eee","target":"record","created_at":"2026-05-18T00:49:41Z","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":"0aa3866771b0f5a98321cbd1a9daecb969fcb53f004f79246d572a60eb3dc8aa","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T06:43:13Z","title_canon_sha256":"e5f9ad8d647ca2af717b8503b1b013f25e1852fdc6e4bc999e2f7c276b7331bc"},"schema_version":"1.0","source":{"id":"1703.00636","kind":"arxiv","version":1}},"canonical_sha256":"b3acc16ec372b7a6c058c940844c6814f85511a047cf1ff1629a16f59850adc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3acc16ec372b7a6c058c940844c6814f85511a047cf1ff1629a16f59850adc1","first_computed_at":"2026-05-18T00:49:41.186264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:41.186264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JmioVdrvIMqolDe0BUdEcMu7nvCrgggK9dbKaj5vVe0v48f2duGIlLwrgJV5Z1nPw/q62KkinEfChSNLTTSrCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:41.186832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.00636","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd5d92166cd6f31a6353b88d3bf34ce6f12ac243808c954a6922fadba4528eee","sha256:6c89ee897cf6ec625d26dc74284f48c6204c3c8cc01fe03321523a7dd9636a6f"],"state_sha256":"219b552cad1a0f31354d5f0ceba72b03b5b0f055d9387e2007fee2c6e617989c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FxDTuVuy6IJdZmBy9mwvT/TihI72wqvrwPzd5oxod5skp9M85GBvKxNN9j4BHuSzYy0CU0BCdLiQR0ez4aTBDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:42:37.296364Z","bundle_sha256":"685d3ea27bbf7e8ef71d946005cae68ad839731c69b2ec9571a0b785e620003d"}}