{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ORBEZGFZYBVTB35J25CSUE7NZT","short_pith_number":"pith:ORBEZGFZ","canonical_record":{"source":{"id":"1008.4102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T18:25:46Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"fd50868979c989b5e1d5905b60494c3b80e67e1f1709350788156a79f2f1ddbe","abstract_canon_sha256":"6d17043b4d92c282d1990699f797e05762ce75d9e0f909cdbc27ae5eee6c3491"},"schema_version":"1.0"},"canonical_sha256":"74424c98b9c06b30efa9d7452a13edccca5298ae60dfad4f4a743669f816a009","source":{"kind":"arxiv","id":"1008.4102","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4102","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4102v1","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4102","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"pith_short_12","alias_value":"ORBEZGFZYBVT","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"ORBEZGFZYBVTB35J","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"ORBEZGFZ","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ORBEZGFZYBVTB35J25CSUE7NZT","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T18:25:46Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"fd50868979c989b5e1d5905b60494c3b80e67e1f1709350788156a79f2f1ddbe","abstract_canon_sha256":"6d17043b4d92c282d1990699f797e05762ce75d9e0f909cdbc27ae5eee6c3491"},"schema_version":"1.0"},"canonical_sha256":"74424c98b9c06b30efa9d7452a13edccca5298ae60dfad4f4a743669f816a009","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:54.134961Z","signature_b64":"gCwqSWXuTxaCOe2S2nGB55bRU1pt2G336q7DxNN4tGrbLSxO/Kn9LxPM5tvxCrEOgDR673bDieRFiFYY0BW9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74424c98b9c06b30efa9d7452a13edccca5298ae60dfad4f4a743669f816a009","last_reissued_at":"2026-05-18T04:41:54.134236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:54.134236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4102","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":"2026-05-18T04:41:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vbXRqYX+raRQmG5BhiYWWpn7A0+AdZOwinpjekSAoLKAiBhZHgmSZSCtbCUJAxAdJeUqrGY1MOLZll6rFCSBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T16:47:56.375424Z"},"content_sha256":"cfead5b730f90a7caf3c376a4b50abd4ddd41fba3085328cc724df31a435431a","schema_version":"1.0","event_id":"sha256:cfead5b730f90a7caf3c376a4b50abd4ddd41fba3085328cc724df31a435431a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ORBEZGFZYBVTB35J25CSUE7NZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"quant-ph","authors_text":"Gian Luca Giorgi","submitted_at":"2010-08-24T18:25:46Z","abstract_excerpt":"The occurrence of parity-time reversal ($\\mathcal{PT}$) symmetry breaking is discussed in a non-Hermitian spin chain. The Hermiticity of the model is broken by the presence of an alternating, imaginary, transverse magnetic field. A full real spectrum, which occurs if and only if all the eigenvectors are $\\mathcal{PT}$ symmetric, can appear only in presence of dimerization, i.e. only if the hopping amplitudes between nearest-neighbor spins assume alternate values along the chain. In order to make a connection between such system and the Hermitian world, we study the critical magnetic properties"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4102","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":"2026-05-18T04:41:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3EJmOQf8qNA0qxkxpYuRELMmowgM/zov89VDnEvQdfrpCbBDWL7TDaUo73Sy3mwFk9KEBAdgs0iNe0Ei/ieJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T16:47:56.376046Z"},"content_sha256":"b8f07b926cb1775ba73a4b0eaa8909413287df0563cfcc1b4eaccf20adef634a","schema_version":"1.0","event_id":"sha256:b8f07b926cb1775ba73a4b0eaa8909413287df0563cfcc1b4eaccf20adef634a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ORBEZGFZYBVTB35J25CSUE7NZT/bundle.json","state_url":"https://pith.science/pith/ORBEZGFZYBVTB35J25CSUE7NZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ORBEZGFZYBVTB35J25CSUE7NZT/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":"2026-05-20T16:47:56Z","links":{"resolver":"https://pith.science/pith/ORBEZGFZYBVTB35J25CSUE7NZT","bundle":"https://pith.science/pith/ORBEZGFZYBVTB35J25CSUE7NZT/bundle.json","state":"https://pith.science/pith/ORBEZGFZYBVTB35J25CSUE7NZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ORBEZGFZYBVTB35J25CSUE7NZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ORBEZGFZYBVTB35J25CSUE7NZT","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":"6d17043b4d92c282d1990699f797e05762ce75d9e0f909cdbc27ae5eee6c3491","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T18:25:46Z","title_canon_sha256":"fd50868979c989b5e1d5905b60494c3b80e67e1f1709350788156a79f2f1ddbe"},"schema_version":"1.0","source":{"id":"1008.4102","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4102","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4102v1","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4102","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"pith_short_12","alias_value":"ORBEZGFZYBVT","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"ORBEZGFZYBVTB35J","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"ORBEZGFZ","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:b8f07b926cb1775ba73a4b0eaa8909413287df0563cfcc1b4eaccf20adef634a","target":"graph","created_at":"2026-05-18T04:41:54Z","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":"The occurrence of parity-time reversal ($\\mathcal{PT}$) symmetry breaking is discussed in a non-Hermitian spin chain. The Hermiticity of the model is broken by the presence of an alternating, imaginary, transverse magnetic field. A full real spectrum, which occurs if and only if all the eigenvectors are $\\mathcal{PT}$ symmetric, can appear only in presence of dimerization, i.e. only if the hopping amplitudes between nearest-neighbor spins assume alternate values along the chain. In order to make a connection between such system and the Hermitian world, we study the critical magnetic properties","authors_text":"Gian Luca Giorgi","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T18:25:46Z","title":"Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4102","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:cfead5b730f90a7caf3c376a4b50abd4ddd41fba3085328cc724df31a435431a","target":"record","created_at":"2026-05-18T04:41:54Z","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":"6d17043b4d92c282d1990699f797e05762ce75d9e0f909cdbc27ae5eee6c3491","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T18:25:46Z","title_canon_sha256":"fd50868979c989b5e1d5905b60494c3b80e67e1f1709350788156a79f2f1ddbe"},"schema_version":"1.0","source":{"id":"1008.4102","kind":"arxiv","version":1}},"canonical_sha256":"74424c98b9c06b30efa9d7452a13edccca5298ae60dfad4f4a743669f816a009","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74424c98b9c06b30efa9d7452a13edccca5298ae60dfad4f4a743669f816a009","first_computed_at":"2026-05-18T04:41:54.134236Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:54.134236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gCwqSWXuTxaCOe2S2nGB55bRU1pt2G336q7DxNN4tGrbLSxO/Kn9LxPM5tvxCrEOgDR673bDieRFiFYY0BW9Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:54.134961Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4102","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfead5b730f90a7caf3c376a4b50abd4ddd41fba3085328cc724df31a435431a","sha256:b8f07b926cb1775ba73a4b0eaa8909413287df0563cfcc1b4eaccf20adef634a"],"state_sha256":"53548a1a196dd3ea573cf10207c24b37be4261811f37633c14be7fb73990a610"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eHXtyyCJ9jYxRZESi/kD07smZTKqi+3QyIpHeyWyyT/P0sFaj1IEr7atsJ8FS2wP+TV3IStSRN9WikMUW8EwDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T16:47:56.379148Z","bundle_sha256":"c64a84175ca6b36c8431f26cd0325bd11e3c40604cd997b60a61ed4d9ffcab18"}}