{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:QR72U24D3ZUIYIEGZIJQZVLGTO","short_pith_number":"pith:QR72U24D","canonical_record":{"source":{"id":"2011.09154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-11-18T08:23:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c373a4ce91d6ea2dd5fbd0fb52473710afbf8ae6e5ca94c0bff2e803e4ce0e9c","abstract_canon_sha256":"15c20ca40616d13b007a9bebdb9275b156559641b32cda1cd5e2cbdfc120acb8"},"schema_version":"1.0"},"canonical_sha256":"847faa6b83de688c2086ca130cd5669b844e8e0bf0eac02e34c28d5345bad426","source":{"kind":"arxiv","id":"2011.09154","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.09154","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"arxiv_version","alias_value":"2011.09154v1","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.09154","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"pith_short_12","alias_value":"QR72U24D3ZUI","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"pith_short_16","alias_value":"QR72U24D3ZUIYIEG","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"pith_short_8","alias_value":"QR72U24D","created_at":"2026-07-05T02:29:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:QR72U24D3ZUIYIEGZIJQZVLGTO","target":"record","payload":{"canonical_record":{"source":{"id":"2011.09154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-11-18T08:23:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c373a4ce91d6ea2dd5fbd0fb52473710afbf8ae6e5ca94c0bff2e803e4ce0e9c","abstract_canon_sha256":"15c20ca40616d13b007a9bebdb9275b156559641b32cda1cd5e2cbdfc120acb8"},"schema_version":"1.0"},"canonical_sha256":"847faa6b83de688c2086ca130cd5669b844e8e0bf0eac02e34c28d5345bad426","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:29:36.452236Z","signature_b64":"3O0chGk9Rho+Z31pqUJroERWFWPV2sdlNCjwpNNlkP8F7W6vBEE1/N+pxvq15u4vpbfqxP8tbaFXoNkNIFjuAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"847faa6b83de688c2086ca130cd5669b844e8e0bf0eac02e34c28d5345bad426","last_reissued_at":"2026-07-05T02:29:36.451760Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:29:36.451760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2011.09154","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:29:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KBdfo8ujz/fSsHYTsIBhiXnH4zA7gwxVTASJq3vDwCurTSRPwNM19+5tmQ+Fj1gzVnlf0M+uUjRmipHfeKahDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T01:00:25.106803Z"},"content_sha256":"7eea93945bc84e29a2edcc3b60b6f0d49a9f28b39f8ce303adca6d975ef21715","schema_version":"1.0","event_id":"sha256:7eea93945bc84e29a2edcc3b60b6f0d49a9f28b39f8ce303adca6d975ef21715"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:QR72U24D3ZUIYIEGZIJQZVLGTO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Landscape of Modular Symmetric Flavor Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Hajime Otsuka, Keiya Ishiguro, Tatsuo Kobayashi","submitted_at":"2020-11-18T08:23:38Z","abstract_excerpt":"We study the moduli stabilization from the viewpoint of modular flavor symmetries. We systematically analyze stabilized moduli values in possible configurations of flux compactifications, investigating probabilities of moduli values and showing which moduli values are favorable from our moduli stabilization. Then, we examine their implications on modular symmetric flavor models. It is found that distributions of complex structure modulus $\\tau$ determining the flavor structure are clustered at a fixed point with the residual $\\mathbb{Z}_3$ symmetry in the $SL(2,\\mathbb{Z})$ fundamental region."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.09154","kind":"arxiv","version":1},"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/2011.09154/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":"2026-07-05T02:29:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OvFyf4VngMN9v9f0O1vMAp+ib+92kL7VuxlcZkblRf0PR9y0xj2pNLJO5LBuzn0JUCHI3ofBRLJjwUwT37G2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T01:00:25.107311Z"},"content_sha256":"b36c9eb03fb88218aeb160c687015d7284b827a5bb1a964c33487b6fdffeb87d","schema_version":"1.0","event_id":"sha256:b36c9eb03fb88218aeb160c687015d7284b827a5bb1a964c33487b6fdffeb87d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QR72U24D3ZUIYIEGZIJQZVLGTO/bundle.json","state_url":"https://pith.science/pith/QR72U24D3ZUIYIEGZIJQZVLGTO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QR72U24D3ZUIYIEGZIJQZVLGTO/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":"2026-08-01T01:00:25Z","links":{"resolver":"https://pith.science/pith/QR72U24D3ZUIYIEGZIJQZVLGTO","bundle":"https://pith.science/pith/QR72U24D3ZUIYIEGZIJQZVLGTO/bundle.json","state":"https://pith.science/pith/QR72U24D3ZUIYIEGZIJQZVLGTO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QR72U24D3ZUIYIEGZIJQZVLGTO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:QR72U24D3ZUIYIEGZIJQZVLGTO","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":"15c20ca40616d13b007a9bebdb9275b156559641b32cda1cd5e2cbdfc120acb8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-11-18T08:23:38Z","title_canon_sha256":"c373a4ce91d6ea2dd5fbd0fb52473710afbf8ae6e5ca94c0bff2e803e4ce0e9c"},"schema_version":"1.0","source":{"id":"2011.09154","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.09154","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"arxiv_version","alias_value":"2011.09154v1","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.09154","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"pith_short_12","alias_value":"QR72U24D3ZUI","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"pith_short_16","alias_value":"QR72U24D3ZUIYIEG","created_at":"2026-07-05T02:29:36Z"},{"alias_kind":"pith_short_8","alias_value":"QR72U24D","created_at":"2026-07-05T02:29:36Z"}],"graph_snapshots":[{"event_id":"sha256:b36c9eb03fb88218aeb160c687015d7284b827a5bb1a964c33487b6fdffeb87d","target":"graph","created_at":"2026-07-05T02:29:36Z","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/2011.09154/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the moduli stabilization from the viewpoint of modular flavor symmetries. We systematically analyze stabilized moduli values in possible configurations of flux compactifications, investigating probabilities of moduli values and showing which moduli values are favorable from our moduli stabilization. Then, we examine their implications on modular symmetric flavor models. It is found that distributions of complex structure modulus $\\tau$ determining the flavor structure are clustered at a fixed point with the residual $\\mathbb{Z}_3$ symmetry in the $SL(2,\\mathbb{Z})$ fundamental region.","authors_text":"Hajime Otsuka, Keiya Ishiguro, Tatsuo Kobayashi","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-11-18T08:23:38Z","title":"Landscape of Modular Symmetric Flavor Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.09154","kind":"arxiv","version":1},"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":"sha256:7eea93945bc84e29a2edcc3b60b6f0d49a9f28b39f8ce303adca6d975ef21715","target":"record","created_at":"2026-07-05T02:29:36Z","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":"15c20ca40616d13b007a9bebdb9275b156559641b32cda1cd5e2cbdfc120acb8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-11-18T08:23:38Z","title_canon_sha256":"c373a4ce91d6ea2dd5fbd0fb52473710afbf8ae6e5ca94c0bff2e803e4ce0e9c"},"schema_version":"1.0","source":{"id":"2011.09154","kind":"arxiv","version":1}},"canonical_sha256":"847faa6b83de688c2086ca130cd5669b844e8e0bf0eac02e34c28d5345bad426","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"847faa6b83de688c2086ca130cd5669b844e8e0bf0eac02e34c28d5345bad426","first_computed_at":"2026-07-05T02:29:36.451760Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:29:36.451760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3O0chGk9Rho+Z31pqUJroERWFWPV2sdlNCjwpNNlkP8F7W6vBEE1/N+pxvq15u4vpbfqxP8tbaFXoNkNIFjuAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:29:36.452236Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.09154","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7eea93945bc84e29a2edcc3b60b6f0d49a9f28b39f8ce303adca6d975ef21715","sha256:b36c9eb03fb88218aeb160c687015d7284b827a5bb1a964c33487b6fdffeb87d"],"state_sha256":"7bd7b47eb0d160ca3d0daa42d86347473e0efa3c949d345d76d8c4c1ded52bfe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G0QweNyAy+TVL5ZnbYIvS8VhCsOjNFeO6fOAB7qsMxQe0FlTXDUD9i6riwc5Y6CCDMZ1bFB/sF2/nNa3Na33AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T01:00:25.111411Z","bundle_sha256":"dfebeb46a00d4143c4430ab29c386f9895874f952de0e613afcc6e4b2896caa1"}}