{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:JBPOOM4GV4U4Q3YMFB2DBPCLND","short_pith_number":"pith:JBPOOM4G","canonical_record":{"source":{"id":"0909.1230","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-09-07T12:04:03Z","cross_cats_sorted":[],"title_canon_sha256":"4d59879bf7937da3bb1e9b91587b9006a0e9f9ab193da01ce02d385fb935f8f2","abstract_canon_sha256":"e7bf9236bec7031c38c57ecfb74e6104d3909120cf8b09c3a96c3e8680b88534"},"schema_version":"1.0"},"canonical_sha256":"485ee73386af29c86f0c287430bc4b68f6e27e35268ec7d6a28d396c8e4f1596","source":{"kind":"arxiv","id":"0909.1230","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1230","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1230v1","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1230","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"pith_short_12","alias_value":"JBPOOM4GV4U4","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"pith_short_16","alias_value":"JBPOOM4GV4U4Q3YM","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"pith_short_8","alias_value":"JBPOOM4G","created_at":"2026-07-04T15:49:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:JBPOOM4GV4U4Q3YMFB2DBPCLND","target":"record","payload":{"canonical_record":{"source":{"id":"0909.1230","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-09-07T12:04:03Z","cross_cats_sorted":[],"title_canon_sha256":"4d59879bf7937da3bb1e9b91587b9006a0e9f9ab193da01ce02d385fb935f8f2","abstract_canon_sha256":"e7bf9236bec7031c38c57ecfb74e6104d3909120cf8b09c3a96c3e8680b88534"},"schema_version":"1.0"},"canonical_sha256":"485ee73386af29c86f0c287430bc4b68f6e27e35268ec7d6a28d396c8e4f1596","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:49:05.240601Z","signature_b64":"c7Sxkv/W4nqrEzutk3UgJn98dL1qQcRkaRr9JIo87YAWbC7YlbWcvzVJC18U5dsF9jw/ibbQ1k4S7tpJLLOiDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"485ee73386af29c86f0c287430bc4b68f6e27e35268ec7d6a28d396c8e4f1596","last_reissued_at":"2026-07-04T15:49:05.240191Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:49:05.240191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.1230","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":"2026-07-04T15:49:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PB2IRdH9BrgExQZ1PkJF02CsOR+cgmkozjPN8bf5iidhTaDebwpOcAUOMsYDm00mCy3TCpgiFihIf9a17FSPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T06:06:17.403276Z"},"content_sha256":"91213d6d662ef1b17a175724e772fd099128827eb585409a8c2b2271f33daf2a","schema_version":"1.0","event_id":"sha256:91213d6d662ef1b17a175724e772fd099128827eb585409a8c2b2271f33daf2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:JBPOOM4GV4U4Q3YMFB2DBPCLND","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spontaneous symmetry breaking in thermalization and anti-thermalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"C. P. Sun, H. Dong, Jie-Qiao Liao, X. F. Liu, X. G. Wang","submitted_at":"2009-09-07T12:04:03Z","abstract_excerpt":"The phenomenon of spontaneous symmetry breaking is investigated in the dynamic thermalization of a degenerate quantum system. A three-level system interacting with a heat bath is carefully studied to this end. It is shown that the three-level system with degenerate ground states might have different behaviors depending on the details of the interaction with the heat bath when the temperature approaches zero. If we introduce an external field to break the degeneracy of the ground states and let it approach zero after letting the temperature approach zero, then two possibilities will arise: the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1230","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0909.1230/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:49:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l3zFM+tN/iYmOKCmeSS2AGSX/+oiklpahPlb1sBnrNBRUzViCuHtlnkYWh2AWz93bUMVWEqPhHkGFYI6aFyzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T06:06:17.403663Z"},"content_sha256":"d2464155943f9a245a02f08b53bce2926f74c2ebc50bbfded5bf81a0349f0930","schema_version":"1.0","event_id":"sha256:d2464155943f9a245a02f08b53bce2926f74c2ebc50bbfded5bf81a0349f0930"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JBPOOM4GV4U4Q3YMFB2DBPCLND/bundle.json","state_url":"https://pith.science/pith/JBPOOM4GV4U4Q3YMFB2DBPCLND/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JBPOOM4GV4U4Q3YMFB2DBPCLND/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":"2026-07-22T06:06:17Z","links":{"resolver":"https://pith.science/pith/JBPOOM4GV4U4Q3YMFB2DBPCLND","bundle":"https://pith.science/pith/JBPOOM4GV4U4Q3YMFB2DBPCLND/bundle.json","state":"https://pith.science/pith/JBPOOM4GV4U4Q3YMFB2DBPCLND/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JBPOOM4GV4U4Q3YMFB2DBPCLND/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JBPOOM4GV4U4Q3YMFB2DBPCLND","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":"e7bf9236bec7031c38c57ecfb74e6104d3909120cf8b09c3a96c3e8680b88534","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-09-07T12:04:03Z","title_canon_sha256":"4d59879bf7937da3bb1e9b91587b9006a0e9f9ab193da01ce02d385fb935f8f2"},"schema_version":"1.0","source":{"id":"0909.1230","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1230","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1230v1","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1230","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"pith_short_12","alias_value":"JBPOOM4GV4U4","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"pith_short_16","alias_value":"JBPOOM4GV4U4Q3YM","created_at":"2026-07-04T15:49:05Z"},{"alias_kind":"pith_short_8","alias_value":"JBPOOM4G","created_at":"2026-07-04T15:49:05Z"}],"graph_snapshots":[{"event_id":"sha256:d2464155943f9a245a02f08b53bce2926f74c2ebc50bbfded5bf81a0349f0930","target":"graph","created_at":"2026-07-04T15:49:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0909.1230/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The phenomenon of spontaneous symmetry breaking is investigated in the dynamic thermalization of a degenerate quantum system. A three-level system interacting with a heat bath is carefully studied to this end. It is shown that the three-level system with degenerate ground states might have different behaviors depending on the details of the interaction with the heat bath when the temperature approaches zero. If we introduce an external field to break the degeneracy of the ground states and let it approach zero after letting the temperature approach zero, then two possibilities will arise: the ","authors_text":"C. P. Sun, H. Dong, Jie-Qiao Liao, X. F. Liu, X. G. Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-09-07T12:04:03Z","title":"Spontaneous symmetry breaking in thermalization and anti-thermalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1230","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":"sha256:91213d6d662ef1b17a175724e772fd099128827eb585409a8c2b2271f33daf2a","target":"record","created_at":"2026-07-04T15:49:05Z","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":"e7bf9236bec7031c38c57ecfb74e6104d3909120cf8b09c3a96c3e8680b88534","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-09-07T12:04:03Z","title_canon_sha256":"4d59879bf7937da3bb1e9b91587b9006a0e9f9ab193da01ce02d385fb935f8f2"},"schema_version":"1.0","source":{"id":"0909.1230","kind":"arxiv","version":1}},"canonical_sha256":"485ee73386af29c86f0c287430bc4b68f6e27e35268ec7d6a28d396c8e4f1596","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"485ee73386af29c86f0c287430bc4b68f6e27e35268ec7d6a28d396c8e4f1596","first_computed_at":"2026-07-04T15:49:05.240191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:49:05.240191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c7Sxkv/W4nqrEzutk3UgJn98dL1qQcRkaRr9JIo87YAWbC7YlbWcvzVJC18U5dsF9jw/ibbQ1k4S7tpJLLOiDA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:49:05.240601Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.1230","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91213d6d662ef1b17a175724e772fd099128827eb585409a8c2b2271f33daf2a","sha256:d2464155943f9a245a02f08b53bce2926f74c2ebc50bbfded5bf81a0349f0930"],"state_sha256":"97479609a0d90f8f7e3ba1d97f0f202adb7a81b678183c4a15c7409e6db1bea2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MI6IJ0lqDCFKzqdARSLevBSrAg0Ynz+bpNMGbfbCJ8dmt4tOU+uufNMnsMgr414Rgf8jNBX0WuMC5kSQ1Ev+Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-22T06:06:17.405857Z","bundle_sha256":"cac8896b2e1f78dc7174c5323cb8f44e5caa9473fdfd66781d1c2e35758901d1"}}