{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:4N6FNEHXWFY54X765Y2RHWFK6H","short_pith_number":"pith:4N6FNEHX","canonical_record":{"source":{"id":"hep-th/9810072","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-10-11T14:26:21Z","cross_cats_sorted":[],"title_canon_sha256":"ba70e642c086bdf854b41348455e88a76de0ae2636cdb31856282d5c5e471c00","abstract_canon_sha256":"606f002bd8ae750d35515f757b61031b558ea77d6f3879ebdf530d9da26efd11"},"schema_version":"1.0"},"canonical_sha256":"e37c5690f7b171de5ffeee3513d8aaf1fd3fa28b6c6b3453cc3aac7b5080450d","source":{"kind":"arxiv","id":"hep-th/9810072","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9810072","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9810072v2","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9810072","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"pith_short_12","alias_value":"4N6FNEHXWFY5","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"pith_short_16","alias_value":"4N6FNEHXWFY54X76","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"pith_short_8","alias_value":"4N6FNEHX","created_at":"2026-07-04T16:10:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:4N6FNEHXWFY54X765Y2RHWFK6H","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9810072","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-10-11T14:26:21Z","cross_cats_sorted":[],"title_canon_sha256":"ba70e642c086bdf854b41348455e88a76de0ae2636cdb31856282d5c5e471c00","abstract_canon_sha256":"606f002bd8ae750d35515f757b61031b558ea77d6f3879ebdf530d9da26efd11"},"schema_version":"1.0"},"canonical_sha256":"e37c5690f7b171de5ffeee3513d8aaf1fd3fa28b6c6b3453cc3aac7b5080450d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:10:01.706097Z","signature_b64":"OAc9d0VZQSYeknuyVmw7JrR0XOD7OV844ygjAezW3eB58GKVGvy4UcmYsL+TLo27HqiqXmZOJ0cq8z3MSAM/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e37c5690f7b171de5ffeee3513d8aaf1fd3fa28b6c6b3453cc3aac7b5080450d","last_reissued_at":"2026-07-04T16:10:01.705662Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:10:01.705662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9810072","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:10:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aMw4VlX8qHEspdsoVm1mO4ApxDUYSsthRNUdbePNzhy9NWNHSFnudabqXItggBbZXLk8Lq9RGXLT/JDd05+tCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:38:19.157823Z"},"content_sha256":"83a477ef571dc5abeffe2af164eddfe577587ddb535890c0c335b84e80dbf5f0","schema_version":"1.0","event_id":"sha256:83a477ef571dc5abeffe2af164eddfe577587ddb535890c0c335b84e80dbf5f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:4N6FNEHXWFY54X765Y2RHWFK6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncommutative Geometry From Strings and Branes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"F. Ardalan, H. Arfaei, M.M. Sheikh-Jabbari","submitted_at":"1998-10-11T14:26:21Z","abstract_excerpt":"Noncommutative torus compactification of Matrix model is shown to be a direct consequence of quantization of the open strings attached to a D-membrane with a non-vanishing background $B$ field. We calculate the BPS spectrum of such a brane system using both string theory results and DBI action. The DBI action leads to a new transformation property of the compactification radii under the $SL(2,Z)_N$ transformations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9810072","kind":"arxiv","version":2},"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/9810072/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":"2026-07-04T16:10:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"++En3TBfWI32jfWpza5vifYa3FgOonLigWPtCoRCFw48B6gg2r2yUmWD2DKCltym3iGplQM7wqZYFFqZiMMVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:38:19.158745Z"},"content_sha256":"5868fae17673d57d444d774b96de1452d1fc74661485a9a20cbb13a710f008ee","schema_version":"1.0","event_id":"sha256:5868fae17673d57d444d774b96de1452d1fc74661485a9a20cbb13a710f008ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4N6FNEHXWFY54X765Y2RHWFK6H/bundle.json","state_url":"https://pith.science/pith/4N6FNEHXWFY54X765Y2RHWFK6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4N6FNEHXWFY54X765Y2RHWFK6H/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":"2026-08-04T21:38:19Z","links":{"resolver":"https://pith.science/pith/4N6FNEHXWFY54X765Y2RHWFK6H","bundle":"https://pith.science/pith/4N6FNEHXWFY54X765Y2RHWFK6H/bundle.json","state":"https://pith.science/pith/4N6FNEHXWFY54X765Y2RHWFK6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4N6FNEHXWFY54X765Y2RHWFK6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:4N6FNEHXWFY54X765Y2RHWFK6H","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":"606f002bd8ae750d35515f757b61031b558ea77d6f3879ebdf530d9da26efd11","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-10-11T14:26:21Z","title_canon_sha256":"ba70e642c086bdf854b41348455e88a76de0ae2636cdb31856282d5c5e471c00"},"schema_version":"1.0","source":{"id":"hep-th/9810072","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9810072","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9810072v2","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9810072","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"pith_short_12","alias_value":"4N6FNEHXWFY5","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"pith_short_16","alias_value":"4N6FNEHXWFY54X76","created_at":"2026-07-04T16:10:01Z"},{"alias_kind":"pith_short_8","alias_value":"4N6FNEHX","created_at":"2026-07-04T16:10:01Z"}],"graph_snapshots":[{"event_id":"sha256:5868fae17673d57d444d774b96de1452d1fc74661485a9a20cbb13a710f008ee","target":"graph","created_at":"2026-07-04T16:10:01Z","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/9810072/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Noncommutative torus compactification of Matrix model is shown to be a direct consequence of quantization of the open strings attached to a D-membrane with a non-vanishing background $B$ field. We calculate the BPS spectrum of such a brane system using both string theory results and DBI action. The DBI action leads to a new transformation property of the compactification radii under the $SL(2,Z)_N$ transformations.","authors_text":"F. Ardalan, H. Arfaei, M.M. Sheikh-Jabbari","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-10-11T14:26:21Z","title":"Noncommutative Geometry From Strings and Branes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9810072","kind":"arxiv","version":2},"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":"sha256:83a477ef571dc5abeffe2af164eddfe577587ddb535890c0c335b84e80dbf5f0","target":"record","created_at":"2026-07-04T16:10:01Z","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":"606f002bd8ae750d35515f757b61031b558ea77d6f3879ebdf530d9da26efd11","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-10-11T14:26:21Z","title_canon_sha256":"ba70e642c086bdf854b41348455e88a76de0ae2636cdb31856282d5c5e471c00"},"schema_version":"1.0","source":{"id":"hep-th/9810072","kind":"arxiv","version":2}},"canonical_sha256":"e37c5690f7b171de5ffeee3513d8aaf1fd3fa28b6c6b3453cc3aac7b5080450d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e37c5690f7b171de5ffeee3513d8aaf1fd3fa28b6c6b3453cc3aac7b5080450d","first_computed_at":"2026-07-04T16:10:01.705662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:10:01.705662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OAc9d0VZQSYeknuyVmw7JrR0XOD7OV844ygjAezW3eB58GKVGvy4UcmYsL+TLo27HqiqXmZOJ0cq8z3MSAM/BQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:10:01.706097Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9810072","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83a477ef571dc5abeffe2af164eddfe577587ddb535890c0c335b84e80dbf5f0","sha256:5868fae17673d57d444d774b96de1452d1fc74661485a9a20cbb13a710f008ee"],"state_sha256":"02d546455839aff8bac353b238e7a9f6ff6dea7b754775c55a2fef6b1622beb4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ZcrLhGmx0jutivCiLrYMPNY72qYn5QpFB5lUW9j/SPxIGx8bIg5pZgcOyTKe2L8aNYOWeQvuMFBvONnJW62Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T21:38:19.167775Z","bundle_sha256":"78f09a0cce35cd9c5e7e821aecc2cae5bf530fd191e3a8ce65cc7e4ac6680e5c"}}