{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:MG567SSV6VAU76FY33NBUH22NK","short_pith_number":"pith:MG567SSV","canonical_record":{"source":{"id":"0710.1742","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-10-09T16:01:30Z","cross_cats_sorted":[],"title_canon_sha256":"38ac039864cc848713d9a530ab52daa82ec605e91fc0a2f39116800ffdc824e3","abstract_canon_sha256":"e8cb4834323e326aa2b3060393e711853e04ea28935ca312fd96de39bc7321cc"},"schema_version":"1.0"},"canonical_sha256":"61bbefca55f5414ff8b8deda1a1f5a6aa95f9614831fed3795348d47c459373c","source":{"kind":"arxiv","id":"0710.1742","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.1742","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"arxiv_version","alias_value":"0710.1742v4","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1742","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"pith_short_12","alias_value":"MG567SSV6VAU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"MG567SSV6VAU76FY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"MG567SSV","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:MG567SSV6VAU76FY33NBUH22NK","target":"record","payload":{"canonical_record":{"source":{"id":"0710.1742","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-10-09T16:01:30Z","cross_cats_sorted":[],"title_canon_sha256":"38ac039864cc848713d9a530ab52daa82ec605e91fc0a2f39116800ffdc824e3","abstract_canon_sha256":"e8cb4834323e326aa2b3060393e711853e04ea28935ca312fd96de39bc7321cc"},"schema_version":"1.0"},"canonical_sha256":"61bbefca55f5414ff8b8deda1a1f5a6aa95f9614831fed3795348d47c459373c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:45.532368Z","signature_b64":"fZU2/rSr6A8elnH+oNNLO4Jr6Z28HDwAEJ1WwDripfLTdb5vJHtPHfndJ0q/Hu/X36/tXWw0Ovi5ifbkHNtDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61bbefca55f5414ff8b8deda1a1f5a6aa95f9614831fed3795348d47c459373c","last_reissued_at":"2026-05-18T04:40:45.531826Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:45.531826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.1742","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wYzuRJ2+O+44xeWXP97rz7P9P419Mz/c3B+musUKZo1UvN0BAQPgMbexDKXiETyx1uSR1zZCcnXfBv6aEaDLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:02:31.360552Z"},"content_sha256":"6cb8f7a5a4fa484469dc7a2af5e2581e069463ece3064c820b2d0ccbfe92ebfb","schema_version":"1.0","event_id":"sha256:6cb8f7a5a4fa484469dc7a2af5e2581e069463ece3064c820b2d0ccbfe92ebfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:MG567SSV6VAU76FY33NBUH22NK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neutrino Mass Matrix from Seesaw Mechanism with Heavy Majorana Neutrino Subject to Texture Zero and Invariant Under a Cyclic Permutation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Arief Hermanto, Asan Damanik, Mirza Satriawan, Muslim, Pramudita Anggraita","submitted_at":"2007-10-09T16:01:30Z","abstract_excerpt":"We evaluate the predictive power of the neutrino mass matrices arising from seesaw mechanism with heavy Majorana mass matrices subject to texture zero and satisfy a cyclic permutation invariant form to the solar neutrino mixing phenomena. From eight possible patterns of heavy Majorana neutrino mass matrix, we found that there is no heavy Majorana neutrino mass matrix to be invariant in form under a cyclic permutation. But, by imposing an additional assumption that at least one of the 2x2 sub-matrices of heavy Majorana neutrino mass matrix inverse having zero determinant, we found that only two"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1742","kind":"arxiv","version":4},"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":"2026-05-18T04:40:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sa7WF/CSh+3tic5qG4GHyk2aHQWqdoNcoTh3SOe9oSUqOaXlhyhUroWbWGwarHj6gXg7mME4BgwBzYq3W6iWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:02:31.360894Z"},"content_sha256":"aca93dbb5723ba43e5b398bf03a54fb14bf0978f8a1fa3957763224bc02cbb68","schema_version":"1.0","event_id":"sha256:aca93dbb5723ba43e5b398bf03a54fb14bf0978f8a1fa3957763224bc02cbb68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MG567SSV6VAU76FY33NBUH22NK/bundle.json","state_url":"https://pith.science/pith/MG567SSV6VAU76FY33NBUH22NK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MG567SSV6VAU76FY33NBUH22NK/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":"2026-06-05T08:02:31Z","links":{"resolver":"https://pith.science/pith/MG567SSV6VAU76FY33NBUH22NK","bundle":"https://pith.science/pith/MG567SSV6VAU76FY33NBUH22NK/bundle.json","state":"https://pith.science/pith/MG567SSV6VAU76FY33NBUH22NK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MG567SSV6VAU76FY33NBUH22NK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:MG567SSV6VAU76FY33NBUH22NK","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":"e8cb4834323e326aa2b3060393e711853e04ea28935ca312fd96de39bc7321cc","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-10-09T16:01:30Z","title_canon_sha256":"38ac039864cc848713d9a530ab52daa82ec605e91fc0a2f39116800ffdc824e3"},"schema_version":"1.0","source":{"id":"0710.1742","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.1742","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"arxiv_version","alias_value":"0710.1742v4","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1742","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"pith_short_12","alias_value":"MG567SSV6VAU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"MG567SSV6VAU76FY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"MG567SSV","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:aca93dbb5723ba43e5b398bf03a54fb14bf0978f8a1fa3957763224bc02cbb68","target":"graph","created_at":"2026-05-18T04:40:45Z","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":"We evaluate the predictive power of the neutrino mass matrices arising from seesaw mechanism with heavy Majorana mass matrices subject to texture zero and satisfy a cyclic permutation invariant form to the solar neutrino mixing phenomena. From eight possible patterns of heavy Majorana neutrino mass matrix, we found that there is no heavy Majorana neutrino mass matrix to be invariant in form under a cyclic permutation. But, by imposing an additional assumption that at least one of the 2x2 sub-matrices of heavy Majorana neutrino mass matrix inverse having zero determinant, we found that only two","authors_text":"Arief Hermanto, Asan Damanik, Mirza Satriawan, Muslim, Pramudita Anggraita","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-10-09T16:01:30Z","title":"Neutrino Mass Matrix from Seesaw Mechanism with Heavy Majorana Neutrino Subject to Texture Zero and Invariant Under a Cyclic Permutation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1742","kind":"arxiv","version":4},"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":"sha256:6cb8f7a5a4fa484469dc7a2af5e2581e069463ece3064c820b2d0ccbfe92ebfb","target":"record","created_at":"2026-05-18T04:40:45Z","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":"e8cb4834323e326aa2b3060393e711853e04ea28935ca312fd96de39bc7321cc","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-10-09T16:01:30Z","title_canon_sha256":"38ac039864cc848713d9a530ab52daa82ec605e91fc0a2f39116800ffdc824e3"},"schema_version":"1.0","source":{"id":"0710.1742","kind":"arxiv","version":4}},"canonical_sha256":"61bbefca55f5414ff8b8deda1a1f5a6aa95f9614831fed3795348d47c459373c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61bbefca55f5414ff8b8deda1a1f5a6aa95f9614831fed3795348d47c459373c","first_computed_at":"2026-05-18T04:40:45.531826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:45.531826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fZU2/rSr6A8elnH+oNNLO4Jr6Z28HDwAEJ1WwDripfLTdb5vJHtPHfndJ0q/Hu/X36/tXWw0Ovi5ifbkHNtDAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:45.532368Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.1742","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cb8f7a5a4fa484469dc7a2af5e2581e069463ece3064c820b2d0ccbfe92ebfb","sha256:aca93dbb5723ba43e5b398bf03a54fb14bf0978f8a1fa3957763224bc02cbb68"],"state_sha256":"90fac28b908b9576cdd93fdfd3e779bd4fb2b9958e929da040432325ff0bc5f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZVwL1quyIN1Wfb+sdexIF9jPr1a+hckedKYzsxyzq0IR0NXnnt4C01xR/7ExU80EIKTcpQOURpr3CcLJzEtsAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T08:02:31.362706Z","bundle_sha256":"a4a5401033f2d1a886fea7f837ae0d7716de68dad16aacfd78b0a8f492c79470"}}