{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XAY2SANEJHVRENY7Y6AUYTBPBN","short_pith_number":"pith:XAY2SANE","schema_version":"1.0","canonical_sha256":"b831a901a449eb12371fc7814c4c2f0b6d3dc4f64311c4be3820aa7f5f63ea44","source":{"kind":"arxiv","id":"1707.07981","version":4},"attestation_state":"computed","paper":{"title":"Maximal closed subroot systems of real affine root systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RA","authors_text":"Krishanu Roy, R. Venkatesh","submitted_at":"2017-07-25T13:28:32Z","abstract_excerpt":"We completely classify and give explicit descriptions of the maximal closed subroot systems of real affine root systems. As an application we describe a procedure to get the classification of all regular subalgebras of affine Kac Moody algebras in terms of their root systems."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1707.07981","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-07-25T13:28:32Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"ec80da568b573695432339a3bfbe474a3564db0f6d7e5122e06267cd601dadd7","abstract_canon_sha256":"263d7c3d6320ba7ffe702d6846b962739d6c26968eb5f3129f53b0299d1ecdee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:54.704480Z","signature_b64":"MsdYAhr1ZdAaVtRKA1QHjDFILHS845zaTL/nSP4ilLlgxIQpEwQkfYS8QJraPSKiW4JFbnVnIeQjv3LRc9QdDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b831a901a449eb12371fc7814c4c2f0b6d3dc4f64311c4be3820aa7f5f63ea44","last_reissued_at":"2026-05-17T23:58:54.704032Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:54.704032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximal closed subroot systems of real affine root systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RA","authors_text":"Krishanu Roy, R. Venkatesh","submitted_at":"2017-07-25T13:28:32Z","abstract_excerpt":"We completely classify and give explicit descriptions of the maximal closed subroot systems of real affine root systems. As an application we describe a procedure to get the classification of all regular subalgebras of affine Kac Moody algebras in terms of their root systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07981","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1707.07981","created_at":"2026-05-17T23:58:54.704099+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.07981v4","created_at":"2026-05-17T23:58:54.704099+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07981","created_at":"2026-05-17T23:58:54.704099+00:00"},{"alias_kind":"pith_short_12","alias_value":"XAY2SANEJHVR","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"XAY2SANEJHVRENY7","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"XAY2SANE","created_at":"2026-05-18T12:31:53.515858+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XAY2SANEJHVRENY7Y6AUYTBPBN","json":"https://pith.science/pith/XAY2SANEJHVRENY7Y6AUYTBPBN.json","graph_json":"https://pith.science/api/pith-number/XAY2SANEJHVRENY7Y6AUYTBPBN/graph.json","events_json":"https://pith.science/api/pith-number/XAY2SANEJHVRENY7Y6AUYTBPBN/events.json","paper":"https://pith.science/paper/XAY2SANE"},"agent_actions":{"view_html":"https://pith.science/pith/XAY2SANEJHVRENY7Y6AUYTBPBN","download_json":"https://pith.science/pith/XAY2SANEJHVRENY7Y6AUYTBPBN.json","view_paper":"https://pith.science/paper/XAY2SANE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.07981&json=true","fetch_graph":"https://pith.science/api/pith-number/XAY2SANEJHVRENY7Y6AUYTBPBN/graph.json","fetch_events":"https://pith.science/api/pith-number/XAY2SANEJHVRENY7Y6AUYTBPBN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XAY2SANEJHVRENY7Y6AUYTBPBN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XAY2SANEJHVRENY7Y6AUYTBPBN/action/storage_attestation","attest_author":"https://pith.science/pith/XAY2SANEJHVRENY7Y6AUYTBPBN/action/author_attestation","sign_citation":"https://pith.science/pith/XAY2SANEJHVRENY7Y6AUYTBPBN/action/citation_signature","submit_replication":"https://pith.science/pith/XAY2SANEJHVRENY7Y6AUYTBPBN/action/replication_record"}},"created_at":"2026-05-17T23:58:54.704099+00:00","updated_at":"2026-05-17T23:58:54.704099+00:00"}