{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:J6YIAA6GBP5WSBVWHJAJAEMSSZ","short_pith_number":"pith:J6YIAA6G","canonical_record":{"source":{"id":"1209.4514","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-09-20T12:44:36Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"a782c6dc27ea3c816c620e2a52e85c379b78aa2f408855b459233ce9b2c370fd","abstract_canon_sha256":"9e9a2f37d2da1c039c8ae34561b4933d8e0efbdb685d455e7071d1e95861b761"},"schema_version":"1.0"},"canonical_sha256":"4fb08003c60bfb6906b63a4090119296740966e4c90124d98de19abe0f9e8fee","source":{"kind":"arxiv","id":"1209.4514","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.4514","created_at":"2026-05-18T03:22:27Z"},{"alias_kind":"arxiv_version","alias_value":"1209.4514v3","created_at":"2026-05-18T03:22:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4514","created_at":"2026-05-18T03:22:27Z"},{"alias_kind":"pith_short_12","alias_value":"J6YIAA6GBP5W","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"J6YIAA6GBP5WSBVW","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"J6YIAA6G","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:J6YIAA6GBP5WSBVWHJAJAEMSSZ","target":"record","payload":{"canonical_record":{"source":{"id":"1209.4514","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-09-20T12:44:36Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"a782c6dc27ea3c816c620e2a52e85c379b78aa2f408855b459233ce9b2c370fd","abstract_canon_sha256":"9e9a2f37d2da1c039c8ae34561b4933d8e0efbdb685d455e7071d1e95861b761"},"schema_version":"1.0"},"canonical_sha256":"4fb08003c60bfb6906b63a4090119296740966e4c90124d98de19abe0f9e8fee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:27.529601Z","signature_b64":"hpV/yBsKsI0m/NFERF+jbKqy6cfeOXTX+eqK6b5K+hL6vy4HsGzJR/JEtV8L5QpmCwDrcXE4z4ktj58u+F3gAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fb08003c60bfb6906b63a4090119296740966e4c90124d98de19abe0f9e8fee","last_reissued_at":"2026-05-18T03:22:27.529082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:27.529082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.4514","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":"2026-05-18T03:22:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wyCorhC8AwWf4FB7aV6+oHnA3jb/Tv9nVO78EvtY7gGZpCeo3v3ebsGfkUNFg2Sy/oOvyj037wgbdzMVBeTACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:45:18.881027Z"},"content_sha256":"1c8c56e75015f512eacb29827765ab12b373e7e4b8caf329e2877df515ff08a9","schema_version":"1.0","event_id":"sha256:1c8c56e75015f512eacb29827765ab12b373e7e4b8caf329e2877df515ff08a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:J6YIAA6GBP5WSBVWHJAJAEMSSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probability of the Standard Model Appearance from a Matrix Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Hajime Aoki","submitted_at":"2012-09-20T12:44:36Z","abstract_excerpt":"The standard model of particle physics lies in an enormous number of string vacua. In a nonperturbative formulation of string theory, various string vacua can, in principle, be compared dynamically, and the probability distribution over the vacuum space could be calculated. In this paper, we consider situations where the IIB matrix model is compactified on a six-dimensional torus with various gauge groups and various magnetic fluxes, find matrix configurations that provide the standard model matter content, and estimate semiclassically the probability of their appearance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4514","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":"2026-05-18T03:22:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FiMhMA5dFFCOvMicAMPDhHQa6w08ks5Bf/VTKZeOO1DVASwbn39Q6RHzu6qHZgWpZ5Se3YSz4M7Hf/rneWMgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:45:18.881384Z"},"content_sha256":"3c783fef2841675b34e3958c99e42d0b0ef5f62d224a44bfcff304fe59910dad","schema_version":"1.0","event_id":"sha256:3c783fef2841675b34e3958c99e42d0b0ef5f62d224a44bfcff304fe59910dad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J6YIAA6GBP5WSBVWHJAJAEMSSZ/bundle.json","state_url":"https://pith.science/pith/J6YIAA6GBP5WSBVWHJAJAEMSSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J6YIAA6GBP5WSBVWHJAJAEMSSZ/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":"2026-06-08T16:45:18Z","links":{"resolver":"https://pith.science/pith/J6YIAA6GBP5WSBVWHJAJAEMSSZ","bundle":"https://pith.science/pith/J6YIAA6GBP5WSBVWHJAJAEMSSZ/bundle.json","state":"https://pith.science/pith/J6YIAA6GBP5WSBVWHJAJAEMSSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J6YIAA6GBP5WSBVWHJAJAEMSSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:J6YIAA6GBP5WSBVWHJAJAEMSSZ","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":"9e9a2f37d2da1c039c8ae34561b4933d8e0efbdb685d455e7071d1e95861b761","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-09-20T12:44:36Z","title_canon_sha256":"a782c6dc27ea3c816c620e2a52e85c379b78aa2f408855b459233ce9b2c370fd"},"schema_version":"1.0","source":{"id":"1209.4514","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.4514","created_at":"2026-05-18T03:22:27Z"},{"alias_kind":"arxiv_version","alias_value":"1209.4514v3","created_at":"2026-05-18T03:22:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4514","created_at":"2026-05-18T03:22:27Z"},{"alias_kind":"pith_short_12","alias_value":"J6YIAA6GBP5W","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"J6YIAA6GBP5WSBVW","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"J6YIAA6G","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:3c783fef2841675b34e3958c99e42d0b0ef5f62d224a44bfcff304fe59910dad","target":"graph","created_at":"2026-05-18T03:22:27Z","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":"The standard model of particle physics lies in an enormous number of string vacua. In a nonperturbative formulation of string theory, various string vacua can, in principle, be compared dynamically, and the probability distribution over the vacuum space could be calculated. In this paper, we consider situations where the IIB matrix model is compactified on a six-dimensional torus with various gauge groups and various magnetic fluxes, find matrix configurations that provide the standard model matter content, and estimate semiclassically the probability of their appearance.","authors_text":"Hajime Aoki","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-09-20T12:44:36Z","title":"Probability of the Standard Model Appearance from a Matrix Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4514","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":"sha256:1c8c56e75015f512eacb29827765ab12b373e7e4b8caf329e2877df515ff08a9","target":"record","created_at":"2026-05-18T03:22:27Z","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":"9e9a2f37d2da1c039c8ae34561b4933d8e0efbdb685d455e7071d1e95861b761","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-09-20T12:44:36Z","title_canon_sha256":"a782c6dc27ea3c816c620e2a52e85c379b78aa2f408855b459233ce9b2c370fd"},"schema_version":"1.0","source":{"id":"1209.4514","kind":"arxiv","version":3}},"canonical_sha256":"4fb08003c60bfb6906b63a4090119296740966e4c90124d98de19abe0f9e8fee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fb08003c60bfb6906b63a4090119296740966e4c90124d98de19abe0f9e8fee","first_computed_at":"2026-05-18T03:22:27.529082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:27.529082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hpV/yBsKsI0m/NFERF+jbKqy6cfeOXTX+eqK6b5K+hL6vy4HsGzJR/JEtV8L5QpmCwDrcXE4z4ktj58u+F3gAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:27.529601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.4514","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c8c56e75015f512eacb29827765ab12b373e7e4b8caf329e2877df515ff08a9","sha256:3c783fef2841675b34e3958c99e42d0b0ef5f62d224a44bfcff304fe59910dad"],"state_sha256":"98b1bc5ed0129d7677d874b050cd23e51e98576ddb518b7acc7aecba114fde12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Iu8dW+/qQS5TC8eKxXEmNvw/fNvf4+WyCLDTa0iN9RRiYSGXse0mLFsiTd9quMhva2cMghcIidCA/DXn812pAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:45:18.883840Z","bundle_sha256":"e0d6aec749fb8ae31b37fe7b74ac93594dc4c6944791c62a42d9263131177360"}}