{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3AG6X5UXHQNAWAA47XEAWFBRW4","short_pith_number":"pith:3AG6X5UX","canonical_record":{"source":{"id":"1707.05313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-17T02:36:18Z","cross_cats_sorted":[],"title_canon_sha256":"3c932fa2ee8b6cc7e5e16563a683f6465fc3725fb10e1a5565f6f8efe2eb1d18","abstract_canon_sha256":"3dba5d139b932f22d6f14e2a88744102a5e9a10c5b0e5e911ca58fd5ba4d1f10"},"schema_version":"1.0"},"canonical_sha256":"d80debf6973c1a0b001cfdc80b1431b70e156b720370378ebd90fa85c1ca2630","source":{"kind":"arxiv","id":"1707.05313","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05313","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05313v1","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05313","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"3AG6X5UXHQNA","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3AG6X5UXHQNAWAA4","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3AG6X5UX","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3AG6X5UXHQNAWAA47XEAWFBRW4","target":"record","payload":{"canonical_record":{"source":{"id":"1707.05313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-17T02:36:18Z","cross_cats_sorted":[],"title_canon_sha256":"3c932fa2ee8b6cc7e5e16563a683f6465fc3725fb10e1a5565f6f8efe2eb1d18","abstract_canon_sha256":"3dba5d139b932f22d6f14e2a88744102a5e9a10c5b0e5e911ca58fd5ba4d1f10"},"schema_version":"1.0"},"canonical_sha256":"d80debf6973c1a0b001cfdc80b1431b70e156b720370378ebd90fa85c1ca2630","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:02.634839Z","signature_b64":"TYah3HbAGhLiBF2Alg74T7L44SDP/RzWPORWymCHSqcxHeO8ugxBUfM+nF9uInQEUJx49SG/Xh03hOT0c726Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d80debf6973c1a0b001cfdc80b1431b70e156b720370378ebd90fa85c1ca2630","last_reissued_at":"2026-05-18T00:40:02.634189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:02.634189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.05313","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UVOWQCblwzf735HeKpCUocBW2gyJXgarLpabnNzjXvtC93hBDoNAX9b2NtIeIbesRZF6esYgNHLC3/Hh5ToVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:41:36.700778Z"},"content_sha256":"3186de308d00f82012a2b3d03f93f25e09ac1a992744bd2cf54634cc216312bc","schema_version":"1.0","event_id":"sha256:3186de308d00f82012a2b3d03f93f25e09ac1a992744bd2cf54634cc216312bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3AG6X5UXHQNAWAA47XEAWFBRW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hidden antiunitary symmetry behind \"accidental\" degeneracy and its protection of degeneracy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jing-Min Hou, Wei Chen","submitted_at":"2017-07-17T02:36:18Z","abstract_excerpt":"In quantum mechanics, accidental degeneracy refers to energy degeneracy that occurs coincidentally, without any protection by symmetry. Here, we prove a theorem stating that any two-fold degeneracy (accidental or not) in a quantum system is protected by a novel hidden symmetry, which can be expressed by an antiunitary operator with its square being -1. In this sense, the so-called accidental degeneracy is not really accidental, and this actually implies a hidden antiunitary symmetry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05313","kind":"arxiv","version":1},"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":"2026-05-18T00:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/c9mbaK5zj8VkVto9fIt23/Z1E3yqPq7W6HybGf0mwuWqyTaKWlKFxtExz9FLxJYQvmu01N9ant2L2IdqE8XAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:41:36.701204Z"},"content_sha256":"779008b8c79382d6ccdbe312e345aa17a3f5ea3c5d88b2755cc11faf10c4043c","schema_version":"1.0","event_id":"sha256:779008b8c79382d6ccdbe312e345aa17a3f5ea3c5d88b2755cc11faf10c4043c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3AG6X5UXHQNAWAA47XEAWFBRW4/bundle.json","state_url":"https://pith.science/pith/3AG6X5UXHQNAWAA47XEAWFBRW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3AG6X5UXHQNAWAA47XEAWFBRW4/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":"2026-05-31T11:41:36Z","links":{"resolver":"https://pith.science/pith/3AG6X5UXHQNAWAA47XEAWFBRW4","bundle":"https://pith.science/pith/3AG6X5UXHQNAWAA47XEAWFBRW4/bundle.json","state":"https://pith.science/pith/3AG6X5UXHQNAWAA47XEAWFBRW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3AG6X5UXHQNAWAA47XEAWFBRW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3AG6X5UXHQNAWAA47XEAWFBRW4","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":"3dba5d139b932f22d6f14e2a88744102a5e9a10c5b0e5e911ca58fd5ba4d1f10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-17T02:36:18Z","title_canon_sha256":"3c932fa2ee8b6cc7e5e16563a683f6465fc3725fb10e1a5565f6f8efe2eb1d18"},"schema_version":"1.0","source":{"id":"1707.05313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05313","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05313v1","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05313","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"3AG6X5UXHQNA","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3AG6X5UXHQNAWAA4","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3AG6X5UX","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:779008b8c79382d6ccdbe312e345aa17a3f5ea3c5d88b2755cc11faf10c4043c","target":"graph","created_at":"2026-05-18T00:40:02Z","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":"In quantum mechanics, accidental degeneracy refers to energy degeneracy that occurs coincidentally, without any protection by symmetry. Here, we prove a theorem stating that any two-fold degeneracy (accidental or not) in a quantum system is protected by a novel hidden symmetry, which can be expressed by an antiunitary operator with its square being -1. In this sense, the so-called accidental degeneracy is not really accidental, and this actually implies a hidden antiunitary symmetry.","authors_text":"Jing-Min Hou, Wei Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-17T02:36:18Z","title":"Hidden antiunitary symmetry behind \"accidental\" degeneracy and its protection of degeneracy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05313","kind":"arxiv","version":1},"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":"sha256:3186de308d00f82012a2b3d03f93f25e09ac1a992744bd2cf54634cc216312bc","target":"record","created_at":"2026-05-18T00:40:02Z","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":"3dba5d139b932f22d6f14e2a88744102a5e9a10c5b0e5e911ca58fd5ba4d1f10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-17T02:36:18Z","title_canon_sha256":"3c932fa2ee8b6cc7e5e16563a683f6465fc3725fb10e1a5565f6f8efe2eb1d18"},"schema_version":"1.0","source":{"id":"1707.05313","kind":"arxiv","version":1}},"canonical_sha256":"d80debf6973c1a0b001cfdc80b1431b70e156b720370378ebd90fa85c1ca2630","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d80debf6973c1a0b001cfdc80b1431b70e156b720370378ebd90fa85c1ca2630","first_computed_at":"2026-05-18T00:40:02.634189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:02.634189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TYah3HbAGhLiBF2Alg74T7L44SDP/RzWPORWymCHSqcxHeO8ugxBUfM+nF9uInQEUJx49SG/Xh03hOT0c726Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:02.634839Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3186de308d00f82012a2b3d03f93f25e09ac1a992744bd2cf54634cc216312bc","sha256:779008b8c79382d6ccdbe312e345aa17a3f5ea3c5d88b2755cc11faf10c4043c"],"state_sha256":"28d246851b610205d0b062419981916b1e4604cb70b372b9f302468acd138e1a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X5FJLumlnlgjqe2tKzU2XN1DBO264InkijYLvVTn5x3sCOjAZjMbMZhToUwy6AITb/sNTv1Lvpeg5NZ6bRaKAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:41:36.704779Z","bundle_sha256":"85e6025f9b0c2a7b7fc515920450c201a967f304e67d5dd6f27405737a8ce54e"}}