{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:GEOAJFTW7JUJKIDMWMTVKTVHHD","short_pith_number":"pith:GEOAJFTW","canonical_record":{"source":{"id":"hep-ph/9303258","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1993-03-14T14:03:40Z","cross_cats_sorted":[],"title_canon_sha256":"ebf179931f8a49ba18e8c78d0c5935316b8e0a30427a11edb0c11d5def418e40","abstract_canon_sha256":"bba385752c02df155318cdc61aa28bb48ca798a1d8b090ba5dda34e6087456c9"},"schema_version":"1.0"},"canonical_sha256":"311c049676fa6895206cb327554ea738e65642db23d8d7ec9b42344c9ff6f54f","source":{"kind":"arxiv","id":"hep-ph/9303258","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9303258","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9303258v2","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9303258","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"pith_short_12","alias_value":"GEOAJFTW7JUJ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"GEOAJFTW7JUJKIDM","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"GEOAJFTW","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:GEOAJFTW7JUJKIDMWMTVKTVHHD","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9303258","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1993-03-14T14:03:40Z","cross_cats_sorted":[],"title_canon_sha256":"ebf179931f8a49ba18e8c78d0c5935316b8e0a30427a11edb0c11d5def418e40","abstract_canon_sha256":"bba385752c02df155318cdc61aa28bb48ca798a1d8b090ba5dda34e6087456c9"},"schema_version":"1.0"},"canonical_sha256":"311c049676fa6895206cb327554ea738e65642db23d8d7ec9b42344c9ff6f54f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:38.166640Z","signature_b64":"WOsUPpXnGRrW/CxoTZ1kejbtSdrSY8u2LqIxUFvTnQQDyAdFS3fF0mk3b1QvbYXKrwDygaDTdJ3XJaRFv+tbAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"311c049676fa6895206cb327554ea738e65642db23d8d7ec9b42344c9ff6f54f","last_reissued_at":"2026-05-18T00:51:38.166268Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:38.166268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9303258","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":"2026-05-18T00:51:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ZnR2HaQEVoJLO247HcBiWFbLkV2+YxJSb5YAiyyfG+JdCKoNen/lyI+z1hN5wJFyFGLdnwc7bnVsO9E/QZdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:13:58.305564Z"},"content_sha256":"bff66f2d4badec1bca3df6a5eaac32d4a96ab901b9ece759da561314c6bfdadb","schema_version":"1.0","event_id":"sha256:bff66f2d4badec1bca3df6a5eaac32d4a96ab901b9ece759da561314c6bfdadb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:GEOAJFTW7JUJKIDMWMTVKTVHHD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low Energy Theorems of Hidden Local Symmetries","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Koichi Yamawaki, Masayasu Harada, Taichiro Kugo","submitted_at":"1993-03-14T14:03:40Z","abstract_excerpt":"We prove to all orders of the loop expansion the low energy theorems of hidden local symmetries in four-dimensional nonlinear sigma models based on the coset space $G/H$, with $G$ and $H$ being arbitrary compact groups. Although the models are non-renormalizable, the proof is done in an analogous manner to the renormalization proof of gauge theories and two-dimensional nonlinear sigma models by restricting ourselves to the operators with two derivatives (counting a hidden gauge boson field as one derivative), i.e., with dimension 2, which are the only operators relevant to the low energy limit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9303258","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":"2026-05-18T00:51:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8SjPDhOKSUV/BrZ7qmQsrnn2Ur8x+NYAYi0BtUTEJfKKTCj6hDg80pCYGgGQgA1qHBZa7vO0h9ag3yKAKXs7CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:13:58.306270Z"},"content_sha256":"29e490099e1d3ffbc7bb9158ba471a0d987bb9bd0af47dbb7e3f5ee2c4a5f074","schema_version":"1.0","event_id":"sha256:29e490099e1d3ffbc7bb9158ba471a0d987bb9bd0af47dbb7e3f5ee2c4a5f074"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GEOAJFTW7JUJKIDMWMTVKTVHHD/bundle.json","state_url":"https://pith.science/pith/GEOAJFTW7JUJKIDMWMTVKTVHHD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GEOAJFTW7JUJKIDMWMTVKTVHHD/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":"2026-05-31T20:13:58Z","links":{"resolver":"https://pith.science/pith/GEOAJFTW7JUJKIDMWMTVKTVHHD","bundle":"https://pith.science/pith/GEOAJFTW7JUJKIDMWMTVKTVHHD/bundle.json","state":"https://pith.science/pith/GEOAJFTW7JUJKIDMWMTVKTVHHD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GEOAJFTW7JUJKIDMWMTVKTVHHD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:GEOAJFTW7JUJKIDMWMTVKTVHHD","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":"bba385752c02df155318cdc61aa28bb48ca798a1d8b090ba5dda34e6087456c9","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1993-03-14T14:03:40Z","title_canon_sha256":"ebf179931f8a49ba18e8c78d0c5935316b8e0a30427a11edb0c11d5def418e40"},"schema_version":"1.0","source":{"id":"hep-ph/9303258","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9303258","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9303258v2","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9303258","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"pith_short_12","alias_value":"GEOAJFTW7JUJ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"GEOAJFTW7JUJKIDM","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"GEOAJFTW","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:29e490099e1d3ffbc7bb9158ba471a0d987bb9bd0af47dbb7e3f5ee2c4a5f074","target":"graph","created_at":"2026-05-18T00:51:38Z","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":"We prove to all orders of the loop expansion the low energy theorems of hidden local symmetries in four-dimensional nonlinear sigma models based on the coset space $G/H$, with $G$ and $H$ being arbitrary compact groups. Although the models are non-renormalizable, the proof is done in an analogous manner to the renormalization proof of gauge theories and two-dimensional nonlinear sigma models by restricting ourselves to the operators with two derivatives (counting a hidden gauge boson field as one derivative), i.e., with dimension 2, which are the only operators relevant to the low energy limit","authors_text":"Koichi Yamawaki, Masayasu Harada, Taichiro Kugo","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1993-03-14T14:03:40Z","title":"Low Energy Theorems of Hidden Local Symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9303258","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:bff66f2d4badec1bca3df6a5eaac32d4a96ab901b9ece759da561314c6bfdadb","target":"record","created_at":"2026-05-18T00:51:38Z","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":"bba385752c02df155318cdc61aa28bb48ca798a1d8b090ba5dda34e6087456c9","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1993-03-14T14:03:40Z","title_canon_sha256":"ebf179931f8a49ba18e8c78d0c5935316b8e0a30427a11edb0c11d5def418e40"},"schema_version":"1.0","source":{"id":"hep-ph/9303258","kind":"arxiv","version":2}},"canonical_sha256":"311c049676fa6895206cb327554ea738e65642db23d8d7ec9b42344c9ff6f54f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"311c049676fa6895206cb327554ea738e65642db23d8d7ec9b42344c9ff6f54f","first_computed_at":"2026-05-18T00:51:38.166268Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:38.166268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WOsUPpXnGRrW/CxoTZ1kejbtSdrSY8u2LqIxUFvTnQQDyAdFS3fF0mk3b1QvbYXKrwDygaDTdJ3XJaRFv+tbAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:38.166640Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9303258","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bff66f2d4badec1bca3df6a5eaac32d4a96ab901b9ece759da561314c6bfdadb","sha256:29e490099e1d3ffbc7bb9158ba471a0d987bb9bd0af47dbb7e3f5ee2c4a5f074"],"state_sha256":"efe2c46e81a93b31edf947e97c796c948893d716b4e3255290c6b542337eea94"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UPl+guNJLHk6q37fEkkCGD0mWExzQrC/aUPMEwKMxfwvEYkZ6StZm+1vJ+kuaUWsG3AGA6URmTlr0OOpsNJHCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:13:58.309979Z","bundle_sha256":"7fa0c40bbe921f6a664edc2ddeba5ac4a6cfbc3c0dc378b3890933c01955d754"}}