{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BH7P6L4PUKT2H4IJGQSKSSQ5XB","short_pith_number":"pith:BH7P6L4P","canonical_record":{"source":{"id":"1612.04272","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-12-13T16:40:09Z","cross_cats_sorted":[],"title_canon_sha256":"bd21bb5fa667e371e359878b290a5fed4ad092de01e9f445dc13d56ac709f460","abstract_canon_sha256":"b56f8c92e965ae75666218b9ec0ce087789d52ac4f800f60ad55f584e6632a6b"},"schema_version":"1.0"},"canonical_sha256":"09feff2f8fa2a7a3f1093424a94a1db851bc6aea96806fa06b7241c220d5a5ab","source":{"kind":"arxiv","id":"1612.04272","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04272","created_at":"2026-05-18T00:49:10Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04272v2","created_at":"2026-05-18T00:49:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04272","created_at":"2026-05-18T00:49:10Z"},{"alias_kind":"pith_short_12","alias_value":"BH7P6L4PUKT2","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BH7P6L4PUKT2H4IJ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BH7P6L4P","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BH7P6L4PUKT2H4IJGQSKSSQ5XB","target":"record","payload":{"canonical_record":{"source":{"id":"1612.04272","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-12-13T16:40:09Z","cross_cats_sorted":[],"title_canon_sha256":"bd21bb5fa667e371e359878b290a5fed4ad092de01e9f445dc13d56ac709f460","abstract_canon_sha256":"b56f8c92e965ae75666218b9ec0ce087789d52ac4f800f60ad55f584e6632a6b"},"schema_version":"1.0"},"canonical_sha256":"09feff2f8fa2a7a3f1093424a94a1db851bc6aea96806fa06b7241c220d5a5ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:10.725474Z","signature_b64":"oBojMLTxEvMv97WNO4PKE6AkdE8VqoccvB4D55OJlBOFKaOG+kZ5AWDD/NRmjMjmucfwakTmBJMJVr4BLxDBDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09feff2f8fa2a7a3f1093424a94a1db851bc6aea96806fa06b7241c220d5a5ab","last_reissued_at":"2026-05-18T00:49:10.724765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:10.724765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.04272","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":"2026-05-18T00:49:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TIrMkBnGzNwWNfsQ+n3HAAU4EFp6UOD6mwW6DbrEQZF2Pw++ERmpZvFC3BSMrk414OwcKDSD+R2//M5pwMoDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:17:07.231349Z"},"content_sha256":"36eeb5208b0c9d096c79ee02680831f07d7a0334b4f619608c8d48f17bde450f","schema_version":"1.0","event_id":"sha256:36eeb5208b0c9d096c79ee02680831f07d7a0334b4f619608c8d48f17bde450f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BH7P6L4PUKT2H4IJGQSKSSQ5XB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge vectors and double beta decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Martin Hirsch, Renato M. Fonseca","submitted_at":"2016-12-13T16:40:09Z","abstract_excerpt":"We discuss contributions to neutrinoless double beta ($0\\nu\\beta\\beta$) decay involving vector bosons. The starting point is a list of all possible vector representations that may contribute to $0\\nu\\beta\\beta$ decay via $d=9$ or $d=11$ operators at tree-level. We then identify gauge groups which contain these vectors in the adjoint representation. Even though the complete list of vector fields that can contribute to $0\\nu\\beta\\beta$ up to $d=11$ is large (a total of 46 vectors), only a few of them can be gauge bosons of phenomenologically realistic groups. These latter cases are discussed in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04272","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":"2026-05-18T00:49:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rPnRSpqhEs02y5++QCCPAnExqLbQ6Jq6WK2DdhzND+SbKgJoyIAN1X3Re/G2aIl0Y2lExyRif3lO+ojIqvCdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:17:07.231691Z"},"content_sha256":"176c96fcf48b37668ecc35b2041c192a38a2af20e78350bfce69241b02bc5c9c","schema_version":"1.0","event_id":"sha256:176c96fcf48b37668ecc35b2041c192a38a2af20e78350bfce69241b02bc5c9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BH7P6L4PUKT2H4IJGQSKSSQ5XB/bundle.json","state_url":"https://pith.science/pith/BH7P6L4PUKT2H4IJGQSKSSQ5XB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BH7P6L4PUKT2H4IJGQSKSSQ5XB/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":"2026-06-08T12:17:07Z","links":{"resolver":"https://pith.science/pith/BH7P6L4PUKT2H4IJGQSKSSQ5XB","bundle":"https://pith.science/pith/BH7P6L4PUKT2H4IJGQSKSSQ5XB/bundle.json","state":"https://pith.science/pith/BH7P6L4PUKT2H4IJGQSKSSQ5XB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BH7P6L4PUKT2H4IJGQSKSSQ5XB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BH7P6L4PUKT2H4IJGQSKSSQ5XB","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":"b56f8c92e965ae75666218b9ec0ce087789d52ac4f800f60ad55f584e6632a6b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-12-13T16:40:09Z","title_canon_sha256":"bd21bb5fa667e371e359878b290a5fed4ad092de01e9f445dc13d56ac709f460"},"schema_version":"1.0","source":{"id":"1612.04272","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04272","created_at":"2026-05-18T00:49:10Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04272v2","created_at":"2026-05-18T00:49:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04272","created_at":"2026-05-18T00:49:10Z"},{"alias_kind":"pith_short_12","alias_value":"BH7P6L4PUKT2","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BH7P6L4PUKT2H4IJ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BH7P6L4P","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:176c96fcf48b37668ecc35b2041c192a38a2af20e78350bfce69241b02bc5c9c","target":"graph","created_at":"2026-05-18T00:49:10Z","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 discuss contributions to neutrinoless double beta ($0\\nu\\beta\\beta$) decay involving vector bosons. The starting point is a list of all possible vector representations that may contribute to $0\\nu\\beta\\beta$ decay via $d=9$ or $d=11$ operators at tree-level. We then identify gauge groups which contain these vectors in the adjoint representation. Even though the complete list of vector fields that can contribute to $0\\nu\\beta\\beta$ up to $d=11$ is large (a total of 46 vectors), only a few of them can be gauge bosons of phenomenologically realistic groups. These latter cases are discussed in ","authors_text":"Martin Hirsch, Renato M. Fonseca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-12-13T16:40:09Z","title":"Gauge vectors and double beta decay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04272","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":"sha256:36eeb5208b0c9d096c79ee02680831f07d7a0334b4f619608c8d48f17bde450f","target":"record","created_at":"2026-05-18T00:49:10Z","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":"b56f8c92e965ae75666218b9ec0ce087789d52ac4f800f60ad55f584e6632a6b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-12-13T16:40:09Z","title_canon_sha256":"bd21bb5fa667e371e359878b290a5fed4ad092de01e9f445dc13d56ac709f460"},"schema_version":"1.0","source":{"id":"1612.04272","kind":"arxiv","version":2}},"canonical_sha256":"09feff2f8fa2a7a3f1093424a94a1db851bc6aea96806fa06b7241c220d5a5ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09feff2f8fa2a7a3f1093424a94a1db851bc6aea96806fa06b7241c220d5a5ab","first_computed_at":"2026-05-18T00:49:10.724765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:10.724765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oBojMLTxEvMv97WNO4PKE6AkdE8VqoccvB4D55OJlBOFKaOG+kZ5AWDD/NRmjMjmucfwakTmBJMJVr4BLxDBDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:10.725474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.04272","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36eeb5208b0c9d096c79ee02680831f07d7a0334b4f619608c8d48f17bde450f","sha256:176c96fcf48b37668ecc35b2041c192a38a2af20e78350bfce69241b02bc5c9c"],"state_sha256":"b74d9a7d8b4b0f6816912931f83145fcd75a92f4ffd40c9c976460266785ebfe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q2dKZgFrGOAn763f81lcZaua9vsgkxOt0Gydnkq2kD//rZlIlXaWM2AWRDgGHoZOem2okZfRsLkhBdx8QN3aAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T12:17:07.233538Z","bundle_sha256":"afe731f2f4c80345f35ea841679d16f0ea2b2c4144d8eaa35bc8caec595aa363"}}