{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:2IZ5B4GKMP2PP2TZOKMPLCDD5P","short_pith_number":"pith:2IZ5B4GK","canonical_record":{"source":{"id":"hep-th/0411173","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-11-18T20:47:36Z","cross_cats_sorted":[],"title_canon_sha256":"1c1f6fb715adb9ec1bcfe9223070e31ec5613177980a466dc33e11bbb05551a9","abstract_canon_sha256":"33434085e1012cb4413538b567713b0324599a58e1cf760a9740885612fb2f16"},"schema_version":"1.0"},"canonical_sha256":"d233d0f0ca63f4f7ea797298f58863ebdc6de94805af98ff1cabf7132a651abb","source":{"kind":"arxiv","id":"hep-th/0411173","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0411173","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0411173v3","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0411173","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"pith_short_12","alias_value":"2IZ5B4GKMP2P","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"pith_short_16","alias_value":"2IZ5B4GKMP2PP2TZ","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"pith_short_8","alias_value":"2IZ5B4GK","created_at":"2026-07-04T15:53:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:2IZ5B4GKMP2PP2TZOKMPLCDD5P","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0411173","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-11-18T20:47:36Z","cross_cats_sorted":[],"title_canon_sha256":"1c1f6fb715adb9ec1bcfe9223070e31ec5613177980a466dc33e11bbb05551a9","abstract_canon_sha256":"33434085e1012cb4413538b567713b0324599a58e1cf760a9740885612fb2f16"},"schema_version":"1.0"},"canonical_sha256":"d233d0f0ca63f4f7ea797298f58863ebdc6de94805af98ff1cabf7132a651abb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:53:50.379806Z","signature_b64":"onTo9mdcF2f2QE21S3rl4Fu2jhi9FaxhVj51P7BbrKTfSXCQBqoXd+wpEr5aDyZwE31ICMA5fMPldSS5KlayCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d233d0f0ca63f4f7ea797298f58863ebdc6de94805af98ff1cabf7132a651abb","last_reissued_at":"2026-07-04T15:53:50.379400Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:53:50.379400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0411173","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":"2026-07-04T15:53:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A8cnfpR/wPjh/ZIMej6kpf4WcqJ4qBaltSupwbkV21zrO8P+bDNlcJWuJ7kylmTVOMjVNiuB2p6cSea8v+NQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T00:19:30.113418Z"},"content_sha256":"b6bc81cc1d853d14d526f80d9dec6f7bcd4161d4e5c8b4b8a3718d32f92ac61e","schema_version":"1.0","event_id":"sha256:b6bc81cc1d853d14d526f80d9dec6f7bcd4161d4e5c8b4b8a3718d32f92ac61e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:2IZ5B4GKMP2PP2TZOKMPLCDD5P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Statistics of Supersymmetric D-brane Models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dieter Lust, Florian Gmeiner, Gabriele Honecker, Ralph Blumenhagen, Timo Weigand","submitted_at":"2004-11-18T20:47:36Z","abstract_excerpt":"We investigate the statistics of the phenomenologically important D-brane sector of string compactifications. In particular for the class of intersecting D-brane models, we generalise methods known from number theory to determine the asymptotic statistical distribution of solutions to the tadpole cancellation conditions. Our approach allows us to compute the statistical distribution of gauge theoretic observables like the rank of the gauge group, the number of chiral generations or the probability of an SU(N) gauge factor. Concretely, we study the statistics of intersecting branes on T^2 and T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0411173","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/0411173/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":"2026-07-04T15:53:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"htoKb40rRCijSoO/FRLpGCylmaFWVV0wgDahtyw7By3LpJdjjxZYGlgFFtWqgQp2KpGwTmDLWV1zGwVXn+iNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T00:19:30.113753Z"},"content_sha256":"6c8a391acbfee32772d06440e2df1822df1acf5cda827e9a7048eb6de0b63808","schema_version":"1.0","event_id":"sha256:6c8a391acbfee32772d06440e2df1822df1acf5cda827e9a7048eb6de0b63808"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2IZ5B4GKMP2PP2TZOKMPLCDD5P/bundle.json","state_url":"https://pith.science/pith/2IZ5B4GKMP2PP2TZOKMPLCDD5P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2IZ5B4GKMP2PP2TZOKMPLCDD5P/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":"2026-08-03T00:19:30Z","links":{"resolver":"https://pith.science/pith/2IZ5B4GKMP2PP2TZOKMPLCDD5P","bundle":"https://pith.science/pith/2IZ5B4GKMP2PP2TZOKMPLCDD5P/bundle.json","state":"https://pith.science/pith/2IZ5B4GKMP2PP2TZOKMPLCDD5P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2IZ5B4GKMP2PP2TZOKMPLCDD5P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:2IZ5B4GKMP2PP2TZOKMPLCDD5P","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":"33434085e1012cb4413538b567713b0324599a58e1cf760a9740885612fb2f16","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-11-18T20:47:36Z","title_canon_sha256":"1c1f6fb715adb9ec1bcfe9223070e31ec5613177980a466dc33e11bbb05551a9"},"schema_version":"1.0","source":{"id":"hep-th/0411173","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0411173","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0411173v3","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0411173","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"pith_short_12","alias_value":"2IZ5B4GKMP2P","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"pith_short_16","alias_value":"2IZ5B4GKMP2PP2TZ","created_at":"2026-07-04T15:53:50Z"},{"alias_kind":"pith_short_8","alias_value":"2IZ5B4GK","created_at":"2026-07-04T15:53:50Z"}],"graph_snapshots":[{"event_id":"sha256:6c8a391acbfee32772d06440e2df1822df1acf5cda827e9a7048eb6de0b63808","target":"graph","created_at":"2026-07-04T15:53:50Z","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/0411173/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the statistics of the phenomenologically important D-brane sector of string compactifications. In particular for the class of intersecting D-brane models, we generalise methods known from number theory to determine the asymptotic statistical distribution of solutions to the tadpole cancellation conditions. Our approach allows us to compute the statistical distribution of gauge theoretic observables like the rank of the gauge group, the number of chiral generations or the probability of an SU(N) gauge factor. Concretely, we study the statistics of intersecting branes on T^2 and T","authors_text":"Dieter Lust, Florian Gmeiner, Gabriele Honecker, Ralph Blumenhagen, Timo Weigand","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-11-18T20:47:36Z","title":"The Statistics of Supersymmetric D-brane Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0411173","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:b6bc81cc1d853d14d526f80d9dec6f7bcd4161d4e5c8b4b8a3718d32f92ac61e","target":"record","created_at":"2026-07-04T15:53:50Z","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":"33434085e1012cb4413538b567713b0324599a58e1cf760a9740885612fb2f16","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-11-18T20:47:36Z","title_canon_sha256":"1c1f6fb715adb9ec1bcfe9223070e31ec5613177980a466dc33e11bbb05551a9"},"schema_version":"1.0","source":{"id":"hep-th/0411173","kind":"arxiv","version":3}},"canonical_sha256":"d233d0f0ca63f4f7ea797298f58863ebdc6de94805af98ff1cabf7132a651abb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d233d0f0ca63f4f7ea797298f58863ebdc6de94805af98ff1cabf7132a651abb","first_computed_at":"2026-07-04T15:53:50.379400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:53:50.379400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"onTo9mdcF2f2QE21S3rl4Fu2jhi9FaxhVj51P7BbrKTfSXCQBqoXd+wpEr5aDyZwE31ICMA5fMPldSS5KlayCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:53:50.379806Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0411173","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6bc81cc1d853d14d526f80d9dec6f7bcd4161d4e5c8b4b8a3718d32f92ac61e","sha256:6c8a391acbfee32772d06440e2df1822df1acf5cda827e9a7048eb6de0b63808"],"state_sha256":"f1d4c61ea5a789cb08754f5c8c18de7dd691cda3ebef641a643e3e6af251aff0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/7JH4HkWrx+eTxc756MAuwCJTa8cLQpQUghgdP60zDGmbRfNH/Ey3dwl1H1UK9KAouQHNL/JaW6dWsDSAuKgCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T00:19:30.115896Z","bundle_sha256":"338cd00a96c89feaf736336b731fe08f67b116fd33ba42a488696d4fb71d34df"}}