{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZETG6UDYURL2KXLNDO4QTTYJYD","short_pith_number":"pith:ZETG6UDY","canonical_record":{"source":{"id":"1301.5606","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-23T19:13:27Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5a4f4dde4994b7eb7a51f215b1d28b977d59f7949ad1cbf3cd9c721c16e620ac","abstract_canon_sha256":"b93d259f152bc697d72bcdbdc6fe28cfa2bd62501736bfe37da209b7272d6f55"},"schema_version":"1.0"},"canonical_sha256":"c9266f5078a457a55d6d1bb909cf09c0f4b31084d507e08b569d6ff76bf1be81","source":{"kind":"arxiv","id":"1301.5606","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5606","created_at":"2026-05-18T03:35:39Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5606v1","created_at":"2026-05-18T03:35:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5606","created_at":"2026-05-18T03:35:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZETG6UDYURL2","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZETG6UDYURL2KXLN","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZETG6UDY","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZETG6UDYURL2KXLNDO4QTTYJYD","target":"record","payload":{"canonical_record":{"source":{"id":"1301.5606","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-23T19:13:27Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5a4f4dde4994b7eb7a51f215b1d28b977d59f7949ad1cbf3cd9c721c16e620ac","abstract_canon_sha256":"b93d259f152bc697d72bcdbdc6fe28cfa2bd62501736bfe37da209b7272d6f55"},"schema_version":"1.0"},"canonical_sha256":"c9266f5078a457a55d6d1bb909cf09c0f4b31084d507e08b569d6ff76bf1be81","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:39.237751Z","signature_b64":"1U5Ai75cKtttWWRA0/0puLQmXoEWJcs1ZlHRcyQXQ5Rt1nlKJqIgBubv1Cue0oqCynQrzT1HYAAhnbZBleXoAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9266f5078a457a55d6d1bb909cf09c0f4b31084d507e08b569d6ff76bf1be81","last_reissued_at":"2026-05-18T03:35:39.236783Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:39.236783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.5606","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":"2026-05-18T03:35:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HtnWZQjLScOWwXR7g2B5dgsmg1rcwj1+QUGG8/vU5xAF4PZd4HrtMMXYuxsnnyB7ZHu6JUmOPqcPGZq8uCpyBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:23:22.095536Z"},"content_sha256":"dccc3b062e018ff6e94ce08f8b781bde59ced82bb43a2619c80abc71570266a8","schema_version":"1.0","event_id":"sha256:dccc3b062e018ff6e94ce08f8b781bde59ced82bb43a2619c80abc71570266a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZETG6UDYURL2KXLNDO4QTTYJYD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Principal Hodge representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"C. Robles","submitted_at":"2013-01-23T19:13:27Z","abstract_excerpt":"We study Hodge representations of absolutely simple Q-algebraic groups with Hodge numbers h = (1,1,...,1). For those groups that are not of type A, we give a classification of the R-irreducible representations; a similar classification for type A does not seem possible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5606","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":"2026-05-18T03:35:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1GOfw3IG9Ll0B60lY9uGjziqtZWiaY0LGvPheeQPph4g0J02gdS4VpmjXc/RaGZxXryjSYnC/Tj2HNOWFB7uDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:23:22.095971Z"},"content_sha256":"346e00f364b9a7e59c6b217e0d7d35929fac872e892ff3faa6140507dd29c70d","schema_version":"1.0","event_id":"sha256:346e00f364b9a7e59c6b217e0d7d35929fac872e892ff3faa6140507dd29c70d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZETG6UDYURL2KXLNDO4QTTYJYD/bundle.json","state_url":"https://pith.science/pith/ZETG6UDYURL2KXLNDO4QTTYJYD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZETG6UDYURL2KXLNDO4QTTYJYD/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":"2026-05-31T09:23:22Z","links":{"resolver":"https://pith.science/pith/ZETG6UDYURL2KXLNDO4QTTYJYD","bundle":"https://pith.science/pith/ZETG6UDYURL2KXLNDO4QTTYJYD/bundle.json","state":"https://pith.science/pith/ZETG6UDYURL2KXLNDO4QTTYJYD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZETG6UDYURL2KXLNDO4QTTYJYD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZETG6UDYURL2KXLNDO4QTTYJYD","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":"b93d259f152bc697d72bcdbdc6fe28cfa2bd62501736bfe37da209b7272d6f55","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-23T19:13:27Z","title_canon_sha256":"5a4f4dde4994b7eb7a51f215b1d28b977d59f7949ad1cbf3cd9c721c16e620ac"},"schema_version":"1.0","source":{"id":"1301.5606","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5606","created_at":"2026-05-18T03:35:39Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5606v1","created_at":"2026-05-18T03:35:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5606","created_at":"2026-05-18T03:35:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZETG6UDYURL2","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZETG6UDYURL2KXLN","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZETG6UDY","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:346e00f364b9a7e59c6b217e0d7d35929fac872e892ff3faa6140507dd29c70d","target":"graph","created_at":"2026-05-18T03:35:39Z","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 study Hodge representations of absolutely simple Q-algebraic groups with Hodge numbers h = (1,1,...,1). For those groups that are not of type A, we give a classification of the R-irreducible representations; a similar classification for type A does not seem possible.","authors_text":"C. Robles","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-23T19:13:27Z","title":"Principal Hodge representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5606","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:dccc3b062e018ff6e94ce08f8b781bde59ced82bb43a2619c80abc71570266a8","target":"record","created_at":"2026-05-18T03:35:39Z","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":"b93d259f152bc697d72bcdbdc6fe28cfa2bd62501736bfe37da209b7272d6f55","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-23T19:13:27Z","title_canon_sha256":"5a4f4dde4994b7eb7a51f215b1d28b977d59f7949ad1cbf3cd9c721c16e620ac"},"schema_version":"1.0","source":{"id":"1301.5606","kind":"arxiv","version":1}},"canonical_sha256":"c9266f5078a457a55d6d1bb909cf09c0f4b31084d507e08b569d6ff76bf1be81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9266f5078a457a55d6d1bb909cf09c0f4b31084d507e08b569d6ff76bf1be81","first_computed_at":"2026-05-18T03:35:39.236783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:39.236783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1U5Ai75cKtttWWRA0/0puLQmXoEWJcs1ZlHRcyQXQ5Rt1nlKJqIgBubv1Cue0oqCynQrzT1HYAAhnbZBleXoAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:39.237751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5606","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dccc3b062e018ff6e94ce08f8b781bde59ced82bb43a2619c80abc71570266a8","sha256:346e00f364b9a7e59c6b217e0d7d35929fac872e892ff3faa6140507dd29c70d"],"state_sha256":"017c5619a9a312f6aea6d8e430fc12dd47165dfd49fe29d5a95945d428841058"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rj+z2yZbQl7NbEmdl+m1rDQ0FTQ4Fdaz0w1v2Jw8lVgzp057an/Ca0j8doHUfdPOoXcMcRg0VBMydWgiBURbCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:23:22.099731Z","bundle_sha256":"b56f4d6a67110493695c25d9b5f13e76ff5a545d8c3e3553d11f829fbe1d40bc"}}