{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OPNHHT3BRMFQONKHKZNSYWHXNQ","short_pith_number":"pith:OPNHHT3B","canonical_record":{"source":{"id":"1509.07938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-09-26T02:50:57Z","cross_cats_sorted":[],"title_canon_sha256":"9cbbf8ad1d18c0e3ee4071443ca893d6eb718b472e8af13baa5bd8cd8d725fc8","abstract_canon_sha256":"c2e5f86e7cac7311c05aac6373b52b69c5c0171622de11552c9d9e4be914d75c"},"schema_version":"1.0"},"canonical_sha256":"73da73cf618b0b073547565b2c58f76c0e0d9db914685e389141a54656c708f6","source":{"kind":"arxiv","id":"1509.07938","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07938","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07938v2","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07938","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"pith_short_12","alias_value":"OPNHHT3BRMFQ","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OPNHHT3BRMFQONKH","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OPNHHT3B","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OPNHHT3BRMFQONKHKZNSYWHXNQ","target":"record","payload":{"canonical_record":{"source":{"id":"1509.07938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-09-26T02:50:57Z","cross_cats_sorted":[],"title_canon_sha256":"9cbbf8ad1d18c0e3ee4071443ca893d6eb718b472e8af13baa5bd8cd8d725fc8","abstract_canon_sha256":"c2e5f86e7cac7311c05aac6373b52b69c5c0171622de11552c9d9e4be914d75c"},"schema_version":"1.0"},"canonical_sha256":"73da73cf618b0b073547565b2c58f76c0e0d9db914685e389141a54656c708f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:18.729890Z","signature_b64":"11EngOT90Gm4XalxYy21hSE7OJ4IQY4v/EHhO3lXrCeMZIPPTU4nfL8O/nUdBgwW/fcgB7n2f6G6X/p02uCDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73da73cf618b0b073547565b2c58f76c0e0d9db914685e389141a54656c708f6","last_reissued_at":"2026-05-18T01:17:18.729399Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:18.729399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.07938","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":"2026-05-18T01:17:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A2GsjH4m234i0NlPTKwCgwjrvFobaPNWjcfDxbNOVMbW5rzwbu1aUVKWyQw/2yxDa/vGRT/+goYkI9S9UYAuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:25:39.268851Z"},"content_sha256":"9c2239d1f26ec381efaa00c7ec1238a838e29529835909c8a8b0ea6775a3124f","schema_version":"1.0","event_id":"sha256:9c2239d1f26ec381efaa00c7ec1238a838e29529835909c8a8b0ea6775a3124f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OPNHHT3BRMFQONKHKZNSYWHXNQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin one matter fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Napsuciale, Rodolfo Ferro-Hern\\'andez, Selim G\\'omez-\\'Avila, S. Rodr\\'iguez","submitted_at":"2015-09-26T02:50:57Z","abstract_excerpt":"Spin-one matter fields are relevant both for the description of hadronic states and as potential extensions of the Standard Model. In this work we present a formalism for the description of massive spin-one fields transforming in the $(1,0)\\oplus(0,1)$ representation of the Lorentz group, based on the covariant projection onto parity eigenspaces and Poincar\\'e orbits. The formalism yields a constrained dynamics. We solve the constraints and perform the canonical quantization accordingly. This formulation uses the recent construction of a parity-based covariant basis for matrix operators acting"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07938","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":"2026-05-18T01:17:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DuMIryyW+PfmmDuZVU2Mehdv/cvpnIuC2EzLEtHRbA7zVMCJKklZTHkajrynOYhJOI5i9kNpkbRDX3fZxq/fCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:25:39.269484Z"},"content_sha256":"cadf1d333cda810d886d0dfe507f96a586c38500f0a3447abf8b1157666000c8","schema_version":"1.0","event_id":"sha256:cadf1d333cda810d886d0dfe507f96a586c38500f0a3447abf8b1157666000c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OPNHHT3BRMFQONKHKZNSYWHXNQ/bundle.json","state_url":"https://pith.science/pith/OPNHHT3BRMFQONKHKZNSYWHXNQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OPNHHT3BRMFQONKHKZNSYWHXNQ/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":"2026-06-05T23:25:39Z","links":{"resolver":"https://pith.science/pith/OPNHHT3BRMFQONKHKZNSYWHXNQ","bundle":"https://pith.science/pith/OPNHHT3BRMFQONKHKZNSYWHXNQ/bundle.json","state":"https://pith.science/pith/OPNHHT3BRMFQONKHKZNSYWHXNQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OPNHHT3BRMFQONKHKZNSYWHXNQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OPNHHT3BRMFQONKHKZNSYWHXNQ","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":"c2e5f86e7cac7311c05aac6373b52b69c5c0171622de11552c9d9e4be914d75c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-09-26T02:50:57Z","title_canon_sha256":"9cbbf8ad1d18c0e3ee4071443ca893d6eb718b472e8af13baa5bd8cd8d725fc8"},"schema_version":"1.0","source":{"id":"1509.07938","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07938","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07938v2","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07938","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"pith_short_12","alias_value":"OPNHHT3BRMFQ","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OPNHHT3BRMFQONKH","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OPNHHT3B","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:cadf1d333cda810d886d0dfe507f96a586c38500f0a3447abf8b1157666000c8","target":"graph","created_at":"2026-05-18T01:17:18Z","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":"Spin-one matter fields are relevant both for the description of hadronic states and as potential extensions of the Standard Model. In this work we present a formalism for the description of massive spin-one fields transforming in the $(1,0)\\oplus(0,1)$ representation of the Lorentz group, based on the covariant projection onto parity eigenspaces and Poincar\\'e orbits. The formalism yields a constrained dynamics. We solve the constraints and perform the canonical quantization accordingly. This formulation uses the recent construction of a parity-based covariant basis for matrix operators acting","authors_text":"M. Napsuciale, Rodolfo Ferro-Hern\\'andez, Selim G\\'omez-\\'Avila, S. Rodr\\'iguez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-09-26T02:50:57Z","title":"Spin one matter fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07938","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":"sha256:9c2239d1f26ec381efaa00c7ec1238a838e29529835909c8a8b0ea6775a3124f","target":"record","created_at":"2026-05-18T01:17:18Z","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":"c2e5f86e7cac7311c05aac6373b52b69c5c0171622de11552c9d9e4be914d75c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-09-26T02:50:57Z","title_canon_sha256":"9cbbf8ad1d18c0e3ee4071443ca893d6eb718b472e8af13baa5bd8cd8d725fc8"},"schema_version":"1.0","source":{"id":"1509.07938","kind":"arxiv","version":2}},"canonical_sha256":"73da73cf618b0b073547565b2c58f76c0e0d9db914685e389141a54656c708f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73da73cf618b0b073547565b2c58f76c0e0d9db914685e389141a54656c708f6","first_computed_at":"2026-05-18T01:17:18.729399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:18.729399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"11EngOT90Gm4XalxYy21hSE7OJ4IQY4v/EHhO3lXrCeMZIPPTU4nfL8O/nUdBgwW/fcgB7n2f6G6X/p02uCDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:18.729890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07938","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c2239d1f26ec381efaa00c7ec1238a838e29529835909c8a8b0ea6775a3124f","sha256:cadf1d333cda810d886d0dfe507f96a586c38500f0a3447abf8b1157666000c8"],"state_sha256":"abebebe33957db0f5d2d7c5bf9c148d16cf26faf0a93811950daecdb5c5fa463"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rpa2DOOXntji2oPguHCxjIPXvAPkdHjvdXc2U/xDg26zvjgZr7UVY24aJUuaRDTzkhhPW48C8N6bZ5lF2EFYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T23:25:39.273269Z","bundle_sha256":"42363eb88284d8dfbd63c56b7525d8cdf23df51adb7f5fa81aebfe9e766af091"}}