{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:HY3ZKS3C7S4HGTGK5PS36OKDBO","short_pith_number":"pith:HY3ZKS3C","canonical_record":{"source":{"id":"hep-th/9709220","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-09-30T12:57:34Z","cross_cats_sorted":[],"title_canon_sha256":"36a7082a107d35a75ad286a8fabd998d4cb3cad2b1558f3aee2b4a291bc95ab2","abstract_canon_sha256":"773530991ded2735bf806b8e660ed85da6ae1a1202b868397e18a5d997144730"},"schema_version":"1.0"},"canonical_sha256":"3e37954b62fcb8734ccaebe5bf39430b9c86ab41e03559e72abff1341591599f","source":{"kind":"arxiv","id":"hep-th/9709220","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9709220","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9709220v3","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9709220","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"pith_short_12","alias_value":"HY3ZKS3C7S4H","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"HY3ZKS3C7S4HGTGK","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"HY3ZKS3C","created_at":"2026-07-04T15:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:HY3ZKS3C7S4HGTGK5PS36OKDBO","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9709220","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-09-30T12:57:34Z","cross_cats_sorted":[],"title_canon_sha256":"36a7082a107d35a75ad286a8fabd998d4cb3cad2b1558f3aee2b4a291bc95ab2","abstract_canon_sha256":"773530991ded2735bf806b8e660ed85da6ae1a1202b868397e18a5d997144730"},"schema_version":"1.0"},"canonical_sha256":"3e37954b62fcb8734ccaebe5bf39430b9c86ab41e03559e72abff1341591599f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:27:30.040702Z","signature_b64":"aT5wwS++1TpX9BbOA6k9fns9/VtThxHim2vl7yuby1cdSrnWHFi1IHXy4xak1T2C0WSUglBUFkghV50g8MBvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e37954b62fcb8734ccaebe5bf39430b9c86ab41e03559e72abff1341591599f","last_reissued_at":"2026-07-04T15:27:30.040276Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:27:30.040276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9709220","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":"2026-07-04T15:27:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PD/O41vubha6aM+4SAX5cOzvLmEAnqEXvNxTrX/TLZYMIC71tCI1bUivoOAJXwW8P8LBT5J9WnMRzth8ItlODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T00:16:47.226353Z"},"content_sha256":"a4d8c4574a352c72dba64d1fcc62f67ea7df53b06aaf482c50762099059f9f45","schema_version":"1.0","event_id":"sha256:a4d8c4574a352c72dba64d1fcc62f67ea7df53b06aaf482c50762099059f9f45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:HY3ZKS3C7S4HGTGK5PS36OKDBO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"D0 Branes on T^n and Matrix Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ashoke Sen","submitted_at":"1997-09-30T12:57:34Z","abstract_excerpt":"The Hamiltonian describing Matrix theory on T^n is identified with the Hamiltonian describing the dynamics of D0-branes on T^n in an appropriate weak coupling limit for all n up to 5. New subtleties arise in taking this weak coupling limit for n=6, since the transverse size of the D0 brane system blows up in this limit. This can be attributed to the appearance of extra light states in the theory from wrapped D6 branes. This subtlety is related to the difficulty in finding a Matrix formulation of M-theory on T^6."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9709220","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9709220/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:27:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vHgPuwXS/0rDKzu+qtLfvlNdYjz3g6m1sg8vOYJEMVL6SwL4geF/WYCcoq400SH8dMsWLxaLMhiWfSFGI/ITDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T00:16:47.227212Z"},"content_sha256":"a4cdb8144e1908b2596dcbf7c2225413faefe276f3dce139fcde3437e8fc50db","schema_version":"1.0","event_id":"sha256:a4cdb8144e1908b2596dcbf7c2225413faefe276f3dce139fcde3437e8fc50db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HY3ZKS3C7S4HGTGK5PS36OKDBO/bundle.json","state_url":"https://pith.science/pith/HY3ZKS3C7S4HGTGK5PS36OKDBO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HY3ZKS3C7S4HGTGK5PS36OKDBO/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":"2026-08-07T00:16:47Z","links":{"resolver":"https://pith.science/pith/HY3ZKS3C7S4HGTGK5PS36OKDBO","bundle":"https://pith.science/pith/HY3ZKS3C7S4HGTGK5PS36OKDBO/bundle.json","state":"https://pith.science/pith/HY3ZKS3C7S4HGTGK5PS36OKDBO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HY3ZKS3C7S4HGTGK5PS36OKDBO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:HY3ZKS3C7S4HGTGK5PS36OKDBO","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":"773530991ded2735bf806b8e660ed85da6ae1a1202b868397e18a5d997144730","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-09-30T12:57:34Z","title_canon_sha256":"36a7082a107d35a75ad286a8fabd998d4cb3cad2b1558f3aee2b4a291bc95ab2"},"schema_version":"1.0","source":{"id":"hep-th/9709220","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9709220","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9709220v3","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9709220","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"pith_short_12","alias_value":"HY3ZKS3C7S4H","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"HY3ZKS3C7S4HGTGK","created_at":"2026-07-04T15:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"HY3ZKS3C","created_at":"2026-07-04T15:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:a4cdb8144e1908b2596dcbf7c2225413faefe276f3dce139fcde3437e8fc50db","target":"graph","created_at":"2026-07-04T15:27:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9709220/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Hamiltonian describing Matrix theory on T^n is identified with the Hamiltonian describing the dynamics of D0-branes on T^n in an appropriate weak coupling limit for all n up to 5. New subtleties arise in taking this weak coupling limit for n=6, since the transverse size of the D0 brane system blows up in this limit. This can be attributed to the appearance of extra light states in the theory from wrapped D6 branes. This subtlety is related to the difficulty in finding a Matrix formulation of M-theory on T^6.","authors_text":"Ashoke Sen","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-09-30T12:57:34Z","title":"D0 Branes on T^n and Matrix Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9709220","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:a4d8c4574a352c72dba64d1fcc62f67ea7df53b06aaf482c50762099059f9f45","target":"record","created_at":"2026-07-04T15:27:30Z","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":"773530991ded2735bf806b8e660ed85da6ae1a1202b868397e18a5d997144730","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-09-30T12:57:34Z","title_canon_sha256":"36a7082a107d35a75ad286a8fabd998d4cb3cad2b1558f3aee2b4a291bc95ab2"},"schema_version":"1.0","source":{"id":"hep-th/9709220","kind":"arxiv","version":3}},"canonical_sha256":"3e37954b62fcb8734ccaebe5bf39430b9c86ab41e03559e72abff1341591599f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e37954b62fcb8734ccaebe5bf39430b9c86ab41e03559e72abff1341591599f","first_computed_at":"2026-07-04T15:27:30.040276Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:27:30.040276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aT5wwS++1TpX9BbOA6k9fns9/VtThxHim2vl7yuby1cdSrnWHFi1IHXy4xak1T2C0WSUglBUFkghV50g8MBvAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:27:30.040702Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9709220","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4d8c4574a352c72dba64d1fcc62f67ea7df53b06aaf482c50762099059f9f45","sha256:a4cdb8144e1908b2596dcbf7c2225413faefe276f3dce139fcde3437e8fc50db"],"state_sha256":"b99435bcd4730ce0fda4f5b42a9ce3e0d92a06ba927b5a5ab3239ac7e4c6e270"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SAP5xgdKAXxtDbsm4PJCvKhluHeuP6/M0GYcUDzlwHlYNZSra5AsTu/wefIMR97a2/3M+pm7v2AIp58ctGTfBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T00:16:47.252695Z","bundle_sha256":"b2b6259a167b66f11d123ac78a0b42082a823ca3dd3114526ef3f5091a081cb8"}}