{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:X65W3JNEXP33PDIDEVKW5PEPBQ","short_pith_number":"pith:X65W3JNE","canonical_record":{"source":{"id":"1011.6379","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-29T21:00:55Z","cross_cats_sorted":[],"title_canon_sha256":"4ead9d72185af92331c27e36e89b89a3b681e226e0172d4913c2ac36905dc075","abstract_canon_sha256":"fe74f03c79eb6fa1ca6091e3cf13824053ca355401a21ced3a44147252ece07e"},"schema_version":"1.0"},"canonical_sha256":"bfbb6da5a4bbf7b78d0325556ebc8f0c2bbd875f278384ec8fb02de786fd3d2d","source":{"kind":"arxiv","id":"1011.6379","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.6379","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"arxiv_version","alias_value":"1011.6379v2","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6379","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"pith_short_12","alias_value":"X65W3JNEXP33","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"X65W3JNEXP33PDID","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"X65W3JNE","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:X65W3JNEXP33PDIDEVKW5PEPBQ","target":"record","payload":{"canonical_record":{"source":{"id":"1011.6379","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-29T21:00:55Z","cross_cats_sorted":[],"title_canon_sha256":"4ead9d72185af92331c27e36e89b89a3b681e226e0172d4913c2ac36905dc075","abstract_canon_sha256":"fe74f03c79eb6fa1ca6091e3cf13824053ca355401a21ced3a44147252ece07e"},"schema_version":"1.0"},"canonical_sha256":"bfbb6da5a4bbf7b78d0325556ebc8f0c2bbd875f278384ec8fb02de786fd3d2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:38.988534Z","signature_b64":"BYKdJNzV2S3ytq2rBeJOk3oyli+4xiEWlHiDfNMgwkK21ibiM8G5zU/W1TNCcLX6sgrOHNRq9oz70K7GvUuoCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfbb6da5a4bbf7b78d0325556ebc8f0c2bbd875f278384ec8fb02de786fd3d2d","last_reissued_at":"2026-05-18T04:28:38.987981Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:38.987981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.6379","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":"2026-05-18T04:28:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gYD/OroK6Tw3IZ7PJNma2arBWeavlC6+gsUhDcL2/slsNpv/SutdfOnFODgQVQXlJvrqVG/c6EskHcMiovzWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:28:35.406202Z"},"content_sha256":"ef8b44efec391dad9733bcd70d5e30f83f52753f273a52b5964efdd3d757b0bb","schema_version":"1.0","event_id":"sha256:ef8b44efec391dad9733bcd70d5e30f83f52753f273a52b5964efdd3d757b0bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:X65W3JNEXP33PDIDEVKW5PEPBQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tribimaximal Neutrino Mixing from A_4 Replication","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Christopher D. Carone, Richard F. Lebed","submitted_at":"2010-11-29T21:00:55Z","abstract_excerpt":"Motivated by dimensional deconstruction, we propose a model of tribimaximal neutrino mixing based on A_4 x A_4 symmetry. In this model, the two triplet symmetry-breaking fields of conventional A_4 models are taken to transform under different A_4 group factors, but are not distinguished by any other quantum numbers. An additional bi-triplet flavon field breaks A_4 x A_4 to its diagonal subgroup. If the bi-triplet transforms under an additional Z_3 symmetry, we show that one can construct a general, renormalizable superpotential that yields the desired pattern of symmetry breaking. We identify "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6379","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":"2026-05-18T04:28:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CQR/+bMGhNArMwVtCW8UnGv+UhulLgCIWWDpfwryH38p/IcBLhU+6r98PBZdvrgDWTV7oUKJUntLMukAFzTfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:28:35.406851Z"},"content_sha256":"784af6e80f70ca702484e0d55028fc06d9523d88f24bea004d62a1c1321172a0","schema_version":"1.0","event_id":"sha256:784af6e80f70ca702484e0d55028fc06d9523d88f24bea004d62a1c1321172a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X65W3JNEXP33PDIDEVKW5PEPBQ/bundle.json","state_url":"https://pith.science/pith/X65W3JNEXP33PDIDEVKW5PEPBQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X65W3JNEXP33PDIDEVKW5PEPBQ/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":"2026-05-24T05:28:35Z","links":{"resolver":"https://pith.science/pith/X65W3JNEXP33PDIDEVKW5PEPBQ","bundle":"https://pith.science/pith/X65W3JNEXP33PDIDEVKW5PEPBQ/bundle.json","state":"https://pith.science/pith/X65W3JNEXP33PDIDEVKW5PEPBQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X65W3JNEXP33PDIDEVKW5PEPBQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:X65W3JNEXP33PDIDEVKW5PEPBQ","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":"fe74f03c79eb6fa1ca6091e3cf13824053ca355401a21ced3a44147252ece07e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-29T21:00:55Z","title_canon_sha256":"4ead9d72185af92331c27e36e89b89a3b681e226e0172d4913c2ac36905dc075"},"schema_version":"1.0","source":{"id":"1011.6379","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.6379","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"arxiv_version","alias_value":"1011.6379v2","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6379","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"pith_short_12","alias_value":"X65W3JNEXP33","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"X65W3JNEXP33PDID","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"X65W3JNE","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:784af6e80f70ca702484e0d55028fc06d9523d88f24bea004d62a1c1321172a0","target":"graph","created_at":"2026-05-18T04:28:38Z","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":"Motivated by dimensional deconstruction, we propose a model of tribimaximal neutrino mixing based on A_4 x A_4 symmetry. In this model, the two triplet symmetry-breaking fields of conventional A_4 models are taken to transform under different A_4 group factors, but are not distinguished by any other quantum numbers. An additional bi-triplet flavon field breaks A_4 x A_4 to its diagonal subgroup. If the bi-triplet transforms under an additional Z_3 symmetry, we show that one can construct a general, renormalizable superpotential that yields the desired pattern of symmetry breaking. We identify ","authors_text":"Christopher D. Carone, Richard F. Lebed","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-29T21:00:55Z","title":"Tribimaximal Neutrino Mixing from A_4 Replication"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6379","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:ef8b44efec391dad9733bcd70d5e30f83f52753f273a52b5964efdd3d757b0bb","target":"record","created_at":"2026-05-18T04:28:38Z","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":"fe74f03c79eb6fa1ca6091e3cf13824053ca355401a21ced3a44147252ece07e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-29T21:00:55Z","title_canon_sha256":"4ead9d72185af92331c27e36e89b89a3b681e226e0172d4913c2ac36905dc075"},"schema_version":"1.0","source":{"id":"1011.6379","kind":"arxiv","version":2}},"canonical_sha256":"bfbb6da5a4bbf7b78d0325556ebc8f0c2bbd875f278384ec8fb02de786fd3d2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfbb6da5a4bbf7b78d0325556ebc8f0c2bbd875f278384ec8fb02de786fd3d2d","first_computed_at":"2026-05-18T04:28:38.987981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:38.987981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BYKdJNzV2S3ytq2rBeJOk3oyli+4xiEWlHiDfNMgwkK21ibiM8G5zU/W1TNCcLX6sgrOHNRq9oz70K7GvUuoCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:38.988534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.6379","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef8b44efec391dad9733bcd70d5e30f83f52753f273a52b5964efdd3d757b0bb","sha256:784af6e80f70ca702484e0d55028fc06d9523d88f24bea004d62a1c1321172a0"],"state_sha256":"107838e850447d9340b6f7aa12f760a806e637341816a3cd67725da6bd2cdfd6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j+6YY76IFnnOxFcjqQlrpiOAzU4enoQPvnXZAPEbVd+6XyFQDmBibnr9l/4JCwt+3Vn85mNp5JVegB47ThE7BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T05:28:35.410371Z","bundle_sha256":"95ef2e99ba3096bfaaca4568cfbc18f43828ea68e2ed3170f7e7828937595d5f"}}