{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:THX6Y44MNLSHWV27S5ED2YX7CX","short_pith_number":"pith:THX6Y44M","canonical_record":{"source":{"id":"1805.09533","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-05-24T07:37:19Z","cross_cats_sorted":[],"title_canon_sha256":"451924eb5bf6b5c3f796675c8b313a74abdf038baa7f4fa457b2dfe88b5c5250","abstract_canon_sha256":"edba980f5a33b9883bf530d053e13312d12676dd1bb193e033cb10d00639bf46"},"schema_version":"1.0"},"canonical_sha256":"99efec738c6ae47b575f97483d62ff15e7a61333c87ba5916cd306e8f9f27d08","source":{"kind":"arxiv","id":"1805.09533","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09533","created_at":"2026-05-18T00:01:29Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09533v2","created_at":"2026-05-18T00:01:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09533","created_at":"2026-05-18T00:01:29Z"},{"alias_kind":"pith_short_12","alias_value":"THX6Y44MNLSH","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"THX6Y44MNLSHWV27","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"THX6Y44M","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:THX6Y44MNLSHWV27S5ED2YX7CX","target":"record","payload":{"canonical_record":{"source":{"id":"1805.09533","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-05-24T07:37:19Z","cross_cats_sorted":[],"title_canon_sha256":"451924eb5bf6b5c3f796675c8b313a74abdf038baa7f4fa457b2dfe88b5c5250","abstract_canon_sha256":"edba980f5a33b9883bf530d053e13312d12676dd1bb193e033cb10d00639bf46"},"schema_version":"1.0"},"canonical_sha256":"99efec738c6ae47b575f97483d62ff15e7a61333c87ba5916cd306e8f9f27d08","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:29.508557Z","signature_b64":"Ax66AfYeYXkOGyKSccUmRkwQlS6LJ4J7j/E76Om7Vv0XEMxBEYxeWIC+tYHLB9tnFqeGIENuBe814DH7EnFvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99efec738c6ae47b575f97483d62ff15e7a61333c87ba5916cd306e8f9f27d08","last_reissued_at":"2026-05-18T00:01:29.508084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:29.508084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.09533","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":"2026-05-18T00:01:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rUKuLCR/brESGluSCaAEBFGaRMf/pyuwB8kbkKrfs+nNXQU0SNfX05/f8SkviBOMBKDSFw8SROcZCjyXoKhFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T19:15:27.145115Z"},"content_sha256":"fc0c489ce37ef1c3a7d1faecdc1e24e3a25826c12f31998145e11b35a68d7c81","schema_version":"1.0","event_id":"sha256:fc0c489ce37ef1c3a7d1faecdc1e24e3a25826c12f31998145e11b35a68d7c81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:THX6Y44MNLSHWV27S5ED2YX7CX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Charged Lepton Mass Relations in a SUSY Scenario","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Toshifumi Yamashita, Yoshio Koide","submitted_at":"2018-05-24T07:37:19Z","abstract_excerpt":"The observed charged lepton masses satisfy the relations $K \\equiv (m_e +m_\\mu+m_\\tau)/(\\sqrt{m_e} +\\sqrt{m_\\mu} +\\sqrt{m_\\tau})^2 =2/3$ and $\\kappa \\equiv \\sqrt{m_e m_\\mu m_\\tau}/(\\sqrt{m_e} +\\sqrt{m_\\mu} +\\sqrt{m_\\tau})^3 =1/486$ with great accuracy. These parameters are given as $K=( {\\rm Tr}[\\Phi \\Phi])/\n  ({\\rm Tr}[\\Phi ])^2$ and $\\kappa = {\\rm det} \\Phi/({\\rm Tr}[\\Phi ])^3$ if the charged lepton masses $m_{ei}$ are given by $m_{ei} \\propto \\sum_k \\Phi_i^{\\ k} \\Phi_k^{\\ i}$ where $\\Phi$ is a U(3)-family nonet scalar. Simple scalar potential forms to realize the relations have been already"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09533","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":""},"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":"2026-05-18T00:01:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CBfMKY3a1tR3mG7PVfFAWnnp7k35hjOm+G+dgddHciPyoTo2gJkBlDJ55VCpaOefE3YKJzjvK+6emVhlJbHmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T19:15:27.145852Z"},"content_sha256":"fcf83c1ef5c69eace673f4a80093df5a1a140ed099f00a405f01b7333b0c6e1a","schema_version":"1.0","event_id":"sha256:fcf83c1ef5c69eace673f4a80093df5a1a140ed099f00a405f01b7333b0c6e1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/THX6Y44MNLSHWV27S5ED2YX7CX/bundle.json","state_url":"https://pith.science/pith/THX6Y44MNLSHWV27S5ED2YX7CX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/THX6Y44MNLSHWV27S5ED2YX7CX/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":"2026-05-18T19:15:27Z","links":{"resolver":"https://pith.science/pith/THX6Y44MNLSHWV27S5ED2YX7CX","bundle":"https://pith.science/pith/THX6Y44MNLSHWV27S5ED2YX7CX/bundle.json","state":"https://pith.science/pith/THX6Y44MNLSHWV27S5ED2YX7CX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/THX6Y44MNLSHWV27S5ED2YX7CX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:THX6Y44MNLSHWV27S5ED2YX7CX","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":"edba980f5a33b9883bf530d053e13312d12676dd1bb193e033cb10d00639bf46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-05-24T07:37:19Z","title_canon_sha256":"451924eb5bf6b5c3f796675c8b313a74abdf038baa7f4fa457b2dfe88b5c5250"},"schema_version":"1.0","source":{"id":"1805.09533","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09533","created_at":"2026-05-18T00:01:29Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09533v2","created_at":"2026-05-18T00:01:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09533","created_at":"2026-05-18T00:01:29Z"},{"alias_kind":"pith_short_12","alias_value":"THX6Y44MNLSH","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"THX6Y44MNLSHWV27","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"THX6Y44M","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:fcf83c1ef5c69eace673f4a80093df5a1a140ed099f00a405f01b7333b0c6e1a","target":"graph","created_at":"2026-05-18T00:01:29Z","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 observed charged lepton masses satisfy the relations $K \\equiv (m_e +m_\\mu+m_\\tau)/(\\sqrt{m_e} +\\sqrt{m_\\mu} +\\sqrt{m_\\tau})^2 =2/3$ and $\\kappa \\equiv \\sqrt{m_e m_\\mu m_\\tau}/(\\sqrt{m_e} +\\sqrt{m_\\mu} +\\sqrt{m_\\tau})^3 =1/486$ with great accuracy. These parameters are given as $K=( {\\rm Tr}[\\Phi \\Phi])/\n  ({\\rm Tr}[\\Phi ])^2$ and $\\kappa = {\\rm det} \\Phi/({\\rm Tr}[\\Phi ])^3$ if the charged lepton masses $m_{ei}$ are given by $m_{ei} \\propto \\sum_k \\Phi_i^{\\ k} \\Phi_k^{\\ i}$ where $\\Phi$ is a U(3)-family nonet scalar. Simple scalar potential forms to realize the relations have been already","authors_text":"Toshifumi Yamashita, Yoshio Koide","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-05-24T07:37:19Z","title":"Charged Lepton Mass Relations in a SUSY Scenario"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09533","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:fc0c489ce37ef1c3a7d1faecdc1e24e3a25826c12f31998145e11b35a68d7c81","target":"record","created_at":"2026-05-18T00:01:29Z","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":"edba980f5a33b9883bf530d053e13312d12676dd1bb193e033cb10d00639bf46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-05-24T07:37:19Z","title_canon_sha256":"451924eb5bf6b5c3f796675c8b313a74abdf038baa7f4fa457b2dfe88b5c5250"},"schema_version":"1.0","source":{"id":"1805.09533","kind":"arxiv","version":2}},"canonical_sha256":"99efec738c6ae47b575f97483d62ff15e7a61333c87ba5916cd306e8f9f27d08","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99efec738c6ae47b575f97483d62ff15e7a61333c87ba5916cd306e8f9f27d08","first_computed_at":"2026-05-18T00:01:29.508084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:29.508084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ax66AfYeYXkOGyKSccUmRkwQlS6LJ4J7j/E76Om7Vv0XEMxBEYxeWIC+tYHLB9tnFqeGIENuBe814DH7EnFvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:29.508557Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09533","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc0c489ce37ef1c3a7d1faecdc1e24e3a25826c12f31998145e11b35a68d7c81","sha256:fcf83c1ef5c69eace673f4a80093df5a1a140ed099f00a405f01b7333b0c6e1a"],"state_sha256":"cc08f7870106488efea539580fa92d22bd3434ea24a1085a7e87e7d6329b4eb6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q23vCB1GU/p4TAcuT00S8lW0e/j/YS1uSrtXus66gupkdo2JZ4bMQTeYC+A/9Pe+xwSUkpBqDZtouFD5FJKiDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-18T19:15:27.147292Z","bundle_sha256":"ac43162f4f388c6e8d70b4f4e62c300cd55113861912a9bff0a0d03ae80fa44f"}}