{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:E7AIZX6K6VRLOYPVMN22QN25DR","short_pith_number":"pith:E7AIZX6K","canonical_record":{"source":{"id":"hep-th/9707217","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-07-25T12:31:11Z","cross_cats_sorted":[],"title_canon_sha256":"048b5dfe9fa3bb5e53dcd3c176247f1b76c84634de8062a1e674ca90fe4e99ad","abstract_canon_sha256":"156b6cde5a5f507771eaa15ba1360d87fbe04ac1a38772b67796fa2f242f3e36"},"schema_version":"1.0"},"canonical_sha256":"27c08cdfcaf562b761f56375a8375d1c45e9e5e2f487315614cdea6148c40ddd","source":{"kind":"arxiv","id":"hep-th/9707217","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9707217","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9707217v3","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9707217","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"E7AIZX6K6VRL","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"E7AIZX6K6VRLOYPV","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"E7AIZX6K","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:E7AIZX6K6VRLOYPVMN22QN25DR","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9707217","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-07-25T12:31:11Z","cross_cats_sorted":[],"title_canon_sha256":"048b5dfe9fa3bb5e53dcd3c176247f1b76c84634de8062a1e674ca90fe4e99ad","abstract_canon_sha256":"156b6cde5a5f507771eaa15ba1360d87fbe04ac1a38772b67796fa2f242f3e36"},"schema_version":"1.0"},"canonical_sha256":"27c08cdfcaf562b761f56375a8375d1c45e9e5e2f487315614cdea6148c40ddd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:16.170775Z","signature_b64":"uV2zGNnlUZUxQPbv17JmCEB1mfsT0Pmaj3jxHJhBg38lQQT/vq0fJXDYbX9I8nK2QszbRrIt4sWSwbMu5aZqCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27c08cdfcaf562b761f56375a8375d1c45e9e5e2f487315614cdea6148c40ddd","last_reissued_at":"2026-05-18T04:35:16.170219Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:16.170219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9707217","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"utU5tqjAFwfiNpENB6qVRIh/G4Iri4ZMQiVubBiZHCilTBaiYtMu7C2nca5aZwmDM9PJTBa2cbMC31834KZ6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:52:45.410952Z"},"content_sha256":"3d95e66b164b22b171aaafbaa1dda321ecd4162cb2ce4dca73dc5dd6d42a1a4b","schema_version":"1.0","event_id":"sha256:3d95e66b164b22b171aaafbaa1dda321ecd4162cb2ce4dca73dc5dd6d42a1a4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:E7AIZX6K6VRLOYPVMN22QN25DR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic Aspects of Matrix Theory on T^d","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Giveon, D. Kutasov, E. Rabinovici, S. Elitzur","submitted_at":"1997-07-25T12:31:11Z","abstract_excerpt":"We study the exceptional U duality group $E_d$ of M-theory compactified on a d-torus and its representations using Matrix theory. We exhibit the $E_d$ structure and show that p-branes wrapped or unwrapped around the longitudinal direction form representations of the U duality group together with other, more mysterious, states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9707217","kind":"arxiv","version":3},"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":"2026-05-18T04:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pqYaaE47eugvPYMzwOUAI9MEcN1WEU0KUf4B2fIgSkqnBcFjqKdDp9G6rx/3FINoaIZV27tG0+GJXTHKWMwVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:52:45.411452Z"},"content_sha256":"296ddc9c4fdcf03be33bf0a14592aea705d4ec9ccde663369c2b95a089c60a67","schema_version":"1.0","event_id":"sha256:296ddc9c4fdcf03be33bf0a14592aea705d4ec9ccde663369c2b95a089c60a67"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E7AIZX6K6VRLOYPVMN22QN25DR/bundle.json","state_url":"https://pith.science/pith/E7AIZX6K6VRLOYPVMN22QN25DR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E7AIZX6K6VRLOYPVMN22QN25DR/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":"2026-05-31T11:52:45Z","links":{"resolver":"https://pith.science/pith/E7AIZX6K6VRLOYPVMN22QN25DR","bundle":"https://pith.science/pith/E7AIZX6K6VRLOYPVMN22QN25DR/bundle.json","state":"https://pith.science/pith/E7AIZX6K6VRLOYPVMN22QN25DR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E7AIZX6K6VRLOYPVMN22QN25DR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:E7AIZX6K6VRLOYPVMN22QN25DR","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":"156b6cde5a5f507771eaa15ba1360d87fbe04ac1a38772b67796fa2f242f3e36","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-07-25T12:31:11Z","title_canon_sha256":"048b5dfe9fa3bb5e53dcd3c176247f1b76c84634de8062a1e674ca90fe4e99ad"},"schema_version":"1.0","source":{"id":"hep-th/9707217","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9707217","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9707217v3","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9707217","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"E7AIZX6K6VRL","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"E7AIZX6K6VRLOYPV","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"E7AIZX6K","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:296ddc9c4fdcf03be33bf0a14592aea705d4ec9ccde663369c2b95a089c60a67","target":"graph","created_at":"2026-05-18T04:35:16Z","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 the exceptional U duality group $E_d$ of M-theory compactified on a d-torus and its representations using Matrix theory. We exhibit the $E_d$ structure and show that p-branes wrapped or unwrapped around the longitudinal direction form representations of the U duality group together with other, more mysterious, states.","authors_text":"A. Giveon, D. Kutasov, E. Rabinovici, S. Elitzur","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-07-25T12:31:11Z","title":"Algebraic Aspects of Matrix Theory on T^d"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9707217","kind":"arxiv","version":3},"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":"sha256:3d95e66b164b22b171aaafbaa1dda321ecd4162cb2ce4dca73dc5dd6d42a1a4b","target":"record","created_at":"2026-05-18T04:35:16Z","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":"156b6cde5a5f507771eaa15ba1360d87fbe04ac1a38772b67796fa2f242f3e36","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-07-25T12:31:11Z","title_canon_sha256":"048b5dfe9fa3bb5e53dcd3c176247f1b76c84634de8062a1e674ca90fe4e99ad"},"schema_version":"1.0","source":{"id":"hep-th/9707217","kind":"arxiv","version":3}},"canonical_sha256":"27c08cdfcaf562b761f56375a8375d1c45e9e5e2f487315614cdea6148c40ddd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27c08cdfcaf562b761f56375a8375d1c45e9e5e2f487315614cdea6148c40ddd","first_computed_at":"2026-05-18T04:35:16.170219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:16.170219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uV2zGNnlUZUxQPbv17JmCEB1mfsT0Pmaj3jxHJhBg38lQQT/vq0fJXDYbX9I8nK2QszbRrIt4sWSwbMu5aZqCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:16.170775Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9707217","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d95e66b164b22b171aaafbaa1dda321ecd4162cb2ce4dca73dc5dd6d42a1a4b","sha256:296ddc9c4fdcf03be33bf0a14592aea705d4ec9ccde663369c2b95a089c60a67"],"state_sha256":"7d50560b056e827ca3a7824867d185048d9b1a92eeebe0e8490dd187a1f609f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qR+CQwSYWLfW8kj4xwTE+T2utFYH2y2qo2jgafvH7agbwE5ilZiP8qLEelVnf2MT7RjbuG5+NsQJOeqWP5mXAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:52:45.414485Z","bundle_sha256":"0a178628d6e79aee0e1e0da71f51b4bfa95cddbe562556c8750437b5828b2b27"}}