{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:FYO3Y3KZDXJ67TKQS4LDANOPIP","short_pith_number":"pith:FYO3Y3KZ","schema_version":"1.0","canonical_sha256":"2e1dbc6d591dd3efcd5097163035cf43d4534b6d0e81a6b3df1d05bc94dacd2e","source":{"kind":"arxiv","id":"hep-th/0407101","version":1},"attestation_state":"computed","paper":{"title":"E10 and SO(9,9) invariant supergravity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Axel Kleinschmidt, Hermann Nicolai","submitted_at":"2004-07-13T15:33:54Z","abstract_excerpt":"We show that (massive) D=10 type IIA supergravity possesses a hidden rigid SO(9,9) symmetry and a hidden local SO(9) x SO(9) symmetry upon dimensional reduction to one (time-like) dimension. We explicitly construct the associated locally supersymmetric Lagrangian in one dimension, and show that its bosonic sector, including the mass term, can be equivalently described by a truncation of an E10/K(E10) non-linear sigma-model to the level \\ell<=2 sector in a decomposition of E10 under its so(9,9) subalgebra. This decomposition is presented up to level 10, and the even and odd level sectors are id"},"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":"hep-th/0407101","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-07-13T15:33:54Z","cross_cats_sorted":[],"title_canon_sha256":"f521f7fb3721233ffba2cf082f175512bd3d3f69b1f9274ac355612d0ad7a961","abstract_canon_sha256":"7fda90ce4f141286d1db28117ce1816deb0960d1cd15ed89b537a13aae132b11"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:48:58.538022Z","signature_b64":"PF2BboaYutpSUVBuFxtXQWSvt+fG6eL6u+oTA4eP6mzrkG4qFkul48avg9QVA2GZ42p2eUxEHxM91T6vZmefAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e1dbc6d591dd3efcd5097163035cf43d4534b6d0e81a6b3df1d05bc94dacd2e","last_reissued_at":"2026-07-04T16:48:58.537685Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:48:58.537685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"E10 and SO(9,9) invariant supergravity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Axel Kleinschmidt, Hermann Nicolai","submitted_at":"2004-07-13T15:33:54Z","abstract_excerpt":"We show that (massive) D=10 type IIA supergravity possesses a hidden rigid SO(9,9) symmetry and a hidden local SO(9) x SO(9) symmetry upon dimensional reduction to one (time-like) dimension. We explicitly construct the associated locally supersymmetric Lagrangian in one dimension, and show that its bosonic sector, including the mass term, can be equivalently described by a truncation of an E10/K(E10) non-linear sigma-model to the level \\ell<=2 sector in a decomposition of E10 under its so(9,9) subalgebra. This decomposition is presented up to level 10, and the even and odd level sectors are id"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0407101","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0407101/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"hep-th/0407101","created_at":"2026-07-04T16:48:58.537746+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0407101v1","created_at":"2026-07-04T16:48:58.537746+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0407101","created_at":"2026-07-04T16:48:58.537746+00:00"},{"alias_kind":"pith_short_12","alias_value":"FYO3Y3KZDXJ6","created_at":"2026-07-04T16:48:58.537746+00:00"},{"alias_kind":"pith_short_16","alias_value":"FYO3Y3KZDXJ67TKQ","created_at":"2026-07-04T16:48:58.537746+00:00"},{"alias_kind":"pith_short_8","alias_value":"FYO3Y3KZ","created_at":"2026-07-04T16:48:58.537746+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.00792","citing_title":"On a new class of high-corank Kac-Moody algebras","ref_index":14,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FYO3Y3KZDXJ67TKQS4LDANOPIP","json":"https://pith.science/pith/FYO3Y3KZDXJ67TKQS4LDANOPIP.json","graph_json":"https://pith.science/api/pith-number/FYO3Y3KZDXJ67TKQS4LDANOPIP/graph.json","events_json":"https://pith.science/api/pith-number/FYO3Y3KZDXJ67TKQS4LDANOPIP/events.json","paper":"https://pith.science/paper/FYO3Y3KZ"},"agent_actions":{"view_html":"https://pith.science/pith/FYO3Y3KZDXJ67TKQS4LDANOPIP","download_json":"https://pith.science/pith/FYO3Y3KZDXJ67TKQS4LDANOPIP.json","view_paper":"https://pith.science/paper/FYO3Y3KZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0407101&json=true","fetch_graph":"https://pith.science/api/pith-number/FYO3Y3KZDXJ67TKQS4LDANOPIP/graph.json","fetch_events":"https://pith.science/api/pith-number/FYO3Y3KZDXJ67TKQS4LDANOPIP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FYO3Y3KZDXJ67TKQS4LDANOPIP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FYO3Y3KZDXJ67TKQS4LDANOPIP/action/storage_attestation","attest_author":"https://pith.science/pith/FYO3Y3KZDXJ67TKQS4LDANOPIP/action/author_attestation","sign_citation":"https://pith.science/pith/FYO3Y3KZDXJ67TKQS4LDANOPIP/action/citation_signature","submit_replication":"https://pith.science/pith/FYO3Y3KZDXJ67TKQS4LDANOPIP/action/replication_record"}},"created_at":"2026-07-04T16:48:58.537746+00:00","updated_at":"2026-07-04T16:48:58.537746+00:00"}