{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:B6LAURFLSFSLM36MR7IF7WYA3P","short_pith_number":"pith:B6LAURFL","canonical_record":{"source":{"id":"1605.07738","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-05-25T05:53:35Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"510a310f1ae2fc48c17ea7fb34ed18934279efac7ea8d389fe2837d34f20a9ae","abstract_canon_sha256":"f53bd02ec8348119810fc25e87b30e34de3653b58be7b2c341e84e8c4a2d886e"},"schema_version":"1.0"},"canonical_sha256":"0f960a44ab9164b66fcc8fd05fdb00dbf595039f859faa388e1ca6f8ca7b80d5","source":{"kind":"arxiv","id":"1605.07738","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07738","created_at":"2026-05-18T01:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07738v2","created_at":"2026-05-18T01:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07738","created_at":"2026-05-18T01:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"B6LAURFLSFSL","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B6LAURFLSFSLM36M","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B6LAURFL","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:B6LAURFLSFSLM36MR7IF7WYA3P","target":"record","payload":{"canonical_record":{"source":{"id":"1605.07738","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-05-25T05:53:35Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"510a310f1ae2fc48c17ea7fb34ed18934279efac7ea8d389fe2837d34f20a9ae","abstract_canon_sha256":"f53bd02ec8348119810fc25e87b30e34de3653b58be7b2c341e84e8c4a2d886e"},"schema_version":"1.0"},"canonical_sha256":"0f960a44ab9164b66fcc8fd05fdb00dbf595039f859faa388e1ca6f8ca7b80d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:10.203970Z","signature_b64":"p3dZeBMmohYo2C2k8aITMzJ7Fnlegw2XDhqkHKD0mWLQFExbZHLY7d6eLXkLuowIa0gITQrxGnA9KP1nUl9nBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f960a44ab9164b66fcc8fd05fdb00dbf595039f859faa388e1ca6f8ca7b80d5","last_reissued_at":"2026-05-18T01:11:10.203374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:10.203374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.07738","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":"2026-05-18T01:11:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pZlC2XzLrMzBn505QmyGP0PSdb3uI/rtDKwa3ZheFavBGtKFHbbTosfEPY6kibrN3zZqePY3Wh7m1yH6FW02CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:07:15.167752Z"},"content_sha256":"b87cd4cf7959f6337181582f1bc6d4a9ba0f5060d74bb42d6068c3a7d5269e66","schema_version":"1.0","event_id":"sha256:b87cd4cf7959f6337181582f1bc6d4a9ba0f5060d74bb42d6068c3a7d5269e66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:B6LAURFLSFSLM36MR7IF7WYA3P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One-loop Chiral Perturbation Theory with two fermion representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Ethan T. Neil, Maarten Golterman, Thomas DeGrand, Yigal Shamir","submitted_at":"2016-05-25T05:53:35Z","abstract_excerpt":"We develop Chiral Perturbation Theory for chirally broken theories with fermions in two different representations of the gauge group. Any such theory has a non-anomalous singlet $U(1)_A$ symmetry, yielding an additional Nambu-Goldstone boson when spontaneously broken. We calculate the next-to-leading order corrections for the pseudoscalar masses and decay constants, which include the singlet Nambu-Goldstone boson, as well as for the two condensates. The results can be generalized to more than two representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07738","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":"2026-05-18T01:11:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qkg4XjsUYvhw7W2M/ViJLz+7c7yZiJ3unwFdzOBh5vSvjwrVnVWX3ZsFr3E8mg2xyc2hkaSvWm7tHabsqpcGDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:07:15.168435Z"},"content_sha256":"18359391e2ddca33a763e9d28c381ffbc83f587350518cba4fbc89372538dd02","schema_version":"1.0","event_id":"sha256:18359391e2ddca33a763e9d28c381ffbc83f587350518cba4fbc89372538dd02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B6LAURFLSFSLM36MR7IF7WYA3P/bundle.json","state_url":"https://pith.science/pith/B6LAURFLSFSLM36MR7IF7WYA3P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B6LAURFLSFSLM36MR7IF7WYA3P/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":"2026-05-24T04:07:15Z","links":{"resolver":"https://pith.science/pith/B6LAURFLSFSLM36MR7IF7WYA3P","bundle":"https://pith.science/pith/B6LAURFLSFSLM36MR7IF7WYA3P/bundle.json","state":"https://pith.science/pith/B6LAURFLSFSLM36MR7IF7WYA3P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B6LAURFLSFSLM36MR7IF7WYA3P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B6LAURFLSFSLM36MR7IF7WYA3P","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":"f53bd02ec8348119810fc25e87b30e34de3653b58be7b2c341e84e8c4a2d886e","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-05-25T05:53:35Z","title_canon_sha256":"510a310f1ae2fc48c17ea7fb34ed18934279efac7ea8d389fe2837d34f20a9ae"},"schema_version":"1.0","source":{"id":"1605.07738","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07738","created_at":"2026-05-18T01:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07738v2","created_at":"2026-05-18T01:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07738","created_at":"2026-05-18T01:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"B6LAURFLSFSL","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B6LAURFLSFSLM36M","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B6LAURFL","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:18359391e2ddca33a763e9d28c381ffbc83f587350518cba4fbc89372538dd02","target":"graph","created_at":"2026-05-18T01:11:10Z","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 develop Chiral Perturbation Theory for chirally broken theories with fermions in two different representations of the gauge group. Any such theory has a non-anomalous singlet $U(1)_A$ symmetry, yielding an additional Nambu-Goldstone boson when spontaneously broken. We calculate the next-to-leading order corrections for the pseudoscalar masses and decay constants, which include the singlet Nambu-Goldstone boson, as well as for the two condensates. The results can be generalized to more than two representations.","authors_text":"Ethan T. Neil, Maarten Golterman, Thomas DeGrand, Yigal Shamir","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-05-25T05:53:35Z","title":"One-loop Chiral Perturbation Theory with two fermion representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07738","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:b87cd4cf7959f6337181582f1bc6d4a9ba0f5060d74bb42d6068c3a7d5269e66","target":"record","created_at":"2026-05-18T01:11:10Z","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":"f53bd02ec8348119810fc25e87b30e34de3653b58be7b2c341e84e8c4a2d886e","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-05-25T05:53:35Z","title_canon_sha256":"510a310f1ae2fc48c17ea7fb34ed18934279efac7ea8d389fe2837d34f20a9ae"},"schema_version":"1.0","source":{"id":"1605.07738","kind":"arxiv","version":2}},"canonical_sha256":"0f960a44ab9164b66fcc8fd05fdb00dbf595039f859faa388e1ca6f8ca7b80d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f960a44ab9164b66fcc8fd05fdb00dbf595039f859faa388e1ca6f8ca7b80d5","first_computed_at":"2026-05-18T01:11:10.203374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:10.203374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p3dZeBMmohYo2C2k8aITMzJ7Fnlegw2XDhqkHKD0mWLQFExbZHLY7d6eLXkLuowIa0gITQrxGnA9KP1nUl9nBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:10.203970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.07738","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b87cd4cf7959f6337181582f1bc6d4a9ba0f5060d74bb42d6068c3a7d5269e66","sha256:18359391e2ddca33a763e9d28c381ffbc83f587350518cba4fbc89372538dd02"],"state_sha256":"ecde110af1c377fdaacac366dc8892e53b7aeb5056ef5dc3011124fe2cb97584"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LLxrbtxMKMbq2vNreRCMKYnoeEeZ1Ygl7WhYmt/iRgUbvglXCV+Jwo9FQYUiYWI+tI/IUXwUtkhqoOJuunTuCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T04:07:15.172237Z","bundle_sha256":"316fb6560cc022ea67513eb28912a730e16bbf14682592bf72b80b26d8bc4650"}}