{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:S7BI2AAT6YPIKZHL6EO4KTZTSK","short_pith_number":"pith:S7BI2AAT","canonical_record":{"source":{"id":"2009.12120","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-09-25T10:46:17Z","cross_cats_sorted":[],"title_canon_sha256":"b250b68ccd7e03d00b07e9bc116f14df23dc9e6aee2d2b7e9bbe5eaa1d350353","abstract_canon_sha256":"7ef3fc404a4cbdf874b7472819a7e75c66d4bd94432aad97161a3b23e04c844f"},"schema_version":"1.0"},"canonical_sha256":"97c28d0013f61e8564ebf11dc54f339289433dd983ebbca2c85e9d4e022b65ae","source":{"kind":"arxiv","id":"2009.12120","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.12120","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"arxiv_version","alias_value":"2009.12120v2","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.12120","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"pith_short_12","alias_value":"S7BI2AAT6YPI","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"pith_short_16","alias_value":"S7BI2AAT6YPIKZHL","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"pith_short_8","alias_value":"S7BI2AAT","created_at":"2026-07-05T02:28:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:S7BI2AAT6YPIKZHL6EO4KTZTSK","target":"record","payload":{"canonical_record":{"source":{"id":"2009.12120","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-09-25T10:46:17Z","cross_cats_sorted":[],"title_canon_sha256":"b250b68ccd7e03d00b07e9bc116f14df23dc9e6aee2d2b7e9bbe5eaa1d350353","abstract_canon_sha256":"7ef3fc404a4cbdf874b7472819a7e75c66d4bd94432aad97161a3b23e04c844f"},"schema_version":"1.0"},"canonical_sha256":"97c28d0013f61e8564ebf11dc54f339289433dd983ebbca2c85e9d4e022b65ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:28:05.974066Z","signature_b64":"vI3Q0JPeKlhoOnOAFdEvk3WN28u+bVA9hfVAACVzbWJ1EhO1QqCqPYyicJVsJNJCH9s51yaw3+tQcishk+ODBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97c28d0013f61e8564ebf11dc54f339289433dd983ebbca2c85e9d4e022b65ae","last_reissued_at":"2026-07-05T02:28:05.973652Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:28:05.973652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2009.12120","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":"2026-07-05T02:28:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bvJ1/1ONxcBAAVryVuhw3wLLks4S8VVCGHK7K+SOa41uoBUPUU5itAKxZqtRT60KdXFWc7Ajg3JP3hfx2mgNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:32:12.620948Z"},"content_sha256":"7f0f4a57d0e669940ca690fec9cb0b8412df37c69cb20f311d81398d732b147c","schema_version":"1.0","event_id":"sha256:7f0f4a57d0e669940ca690fec9cb0b8412df37c69cb20f311d81398d732b147c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:S7BI2AAT6YPIKZHL6EO4KTZTSK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lepton flavor model with modular $A_4$ symmetry in large volume limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Takahiro Yoshida, Takehiko Asaka, Yongtae Heo","submitted_at":"2020-09-25T10:46:17Z","abstract_excerpt":"We consider the modular symmetry associated with the compactification of extra dimensions as the flavor symmetry on lepton sector. Especially, we propose a model based on the modular $A_4$ symmetry with three right-handed neutrinos and a gauge singlet Higgs, which works well in the so-called large volume limit of the extra dimensions, i.e., $\\mbox{Im}\\tau \\to \\infty$ for a modulus $\\tau$. The right-handed neutrinos are introduced to realize the seesaw mechanism for tiny neutrino masses observed in oscillation experiments. The vacuum expectation value of the singlet Higgs gives the Majorana mas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.12120","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/2009.12120/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":"2026-07-05T02:28:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BIYj/DiqjfQNUPSDO0pGeiho4e/yDJScsK1PPteyN+SSLt3AA3neXEXF238IzLx6x7TLiEHYRYYZiCupB+N+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:32:12.621557Z"},"content_sha256":"92ee10141e5a56668bf6e684ef5bfe877b9b042d72e0830ae0966856f94470cc","schema_version":"1.0","event_id":"sha256:92ee10141e5a56668bf6e684ef5bfe877b9b042d72e0830ae0966856f94470cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S7BI2AAT6YPIKZHL6EO4KTZTSK/bundle.json","state_url":"https://pith.science/pith/S7BI2AAT6YPIKZHL6EO4KTZTSK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S7BI2AAT6YPIKZHL6EO4KTZTSK/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":"2026-08-07T18:32:12Z","links":{"resolver":"https://pith.science/pith/S7BI2AAT6YPIKZHL6EO4KTZTSK","bundle":"https://pith.science/pith/S7BI2AAT6YPIKZHL6EO4KTZTSK/bundle.json","state":"https://pith.science/pith/S7BI2AAT6YPIKZHL6EO4KTZTSK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S7BI2AAT6YPIKZHL6EO4KTZTSK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:S7BI2AAT6YPIKZHL6EO4KTZTSK","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":"7ef3fc404a4cbdf874b7472819a7e75c66d4bd94432aad97161a3b23e04c844f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-09-25T10:46:17Z","title_canon_sha256":"b250b68ccd7e03d00b07e9bc116f14df23dc9e6aee2d2b7e9bbe5eaa1d350353"},"schema_version":"1.0","source":{"id":"2009.12120","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.12120","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"arxiv_version","alias_value":"2009.12120v2","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.12120","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"pith_short_12","alias_value":"S7BI2AAT6YPI","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"pith_short_16","alias_value":"S7BI2AAT6YPIKZHL","created_at":"2026-07-05T02:28:05Z"},{"alias_kind":"pith_short_8","alias_value":"S7BI2AAT","created_at":"2026-07-05T02:28:05Z"}],"graph_snapshots":[{"event_id":"sha256:92ee10141e5a56668bf6e684ef5bfe877b9b042d72e0830ae0966856f94470cc","target":"graph","created_at":"2026-07-05T02:28:05Z","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/2009.12120/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the modular symmetry associated with the compactification of extra dimensions as the flavor symmetry on lepton sector. Especially, we propose a model based on the modular $A_4$ symmetry with three right-handed neutrinos and a gauge singlet Higgs, which works well in the so-called large volume limit of the extra dimensions, i.e., $\\mbox{Im}\\tau \\to \\infty$ for a modulus $\\tau$. The right-handed neutrinos are introduced to realize the seesaw mechanism for tiny neutrino masses observed in oscillation experiments. The vacuum expectation value of the singlet Higgs gives the Majorana mas","authors_text":"Takahiro Yoshida, Takehiko Asaka, Yongtae Heo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-09-25T10:46:17Z","title":"Lepton flavor model with modular $A_4$ symmetry in large volume limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.12120","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":"sha256:7f0f4a57d0e669940ca690fec9cb0b8412df37c69cb20f311d81398d732b147c","target":"record","created_at":"2026-07-05T02:28:05Z","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":"7ef3fc404a4cbdf874b7472819a7e75c66d4bd94432aad97161a3b23e04c844f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-09-25T10:46:17Z","title_canon_sha256":"b250b68ccd7e03d00b07e9bc116f14df23dc9e6aee2d2b7e9bbe5eaa1d350353"},"schema_version":"1.0","source":{"id":"2009.12120","kind":"arxiv","version":2}},"canonical_sha256":"97c28d0013f61e8564ebf11dc54f339289433dd983ebbca2c85e9d4e022b65ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97c28d0013f61e8564ebf11dc54f339289433dd983ebbca2c85e9d4e022b65ae","first_computed_at":"2026-07-05T02:28:05.973652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:28:05.973652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vI3Q0JPeKlhoOnOAFdEvk3WN28u+bVA9hfVAACVzbWJ1EhO1QqCqPYyicJVsJNJCH9s51yaw3+tQcishk+ODBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:28:05.974066Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.12120","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f0f4a57d0e669940ca690fec9cb0b8412df37c69cb20f311d81398d732b147c","sha256:92ee10141e5a56668bf6e684ef5bfe877b9b042d72e0830ae0966856f94470cc"],"state_sha256":"08b4184207e4e6b8d3d0d5fabb3e7a3d2364474f95c25d10b8d40cf4eabfd533"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K0trKjD34LdaQQjFJcEFzHV7I6nHCLJjMoAYuliztVtdgccMJzaG2bFDPdPaQgHj1GVV7WUO12pwGWOcmXklCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T18:32:12.627521Z","bundle_sha256":"5fa648462f56cae3eb0058476224783a5e6f0e9aba152a5b48a6a34f1f7a5d83"}}