{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:5YU2DZVQ2DCQG4QK4WKLVCUXWC","short_pith_number":"pith:5YU2DZVQ","canonical_record":{"source":{"id":"2301.06004","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-01-15T02:32:44Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"title_canon_sha256":"f7b691f8755556428b9a3b0e8974f989f0914e284f923a77fc0123bbf8836f36","abstract_canon_sha256":"cfa2ea9505cd00ab6a1dfc2bf0504afc2060c38cede755ba9d73e66d4fee9970"},"schema_version":"1.0"},"canonical_sha256":"ee29a1e6b0d0c503720ae594ba8a97b09717cd88394b1fca4889201f13419d5c","source":{"kind":"arxiv","id":"2301.06004","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.06004","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"arxiv_version","alias_value":"2301.06004v2","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.06004","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"pith_short_12","alias_value":"5YU2DZVQ2DCQ","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"pith_short_16","alias_value":"5YU2DZVQ2DCQG4QK","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"pith_short_8","alias_value":"5YU2DZVQ","created_at":"2026-07-05T11:39:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:5YU2DZVQ2DCQG4QK4WKLVCUXWC","target":"record","payload":{"canonical_record":{"source":{"id":"2301.06004","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-01-15T02:32:44Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"title_canon_sha256":"f7b691f8755556428b9a3b0e8974f989f0914e284f923a77fc0123bbf8836f36","abstract_canon_sha256":"cfa2ea9505cd00ab6a1dfc2bf0504afc2060c38cede755ba9d73e66d4fee9970"},"schema_version":"1.0"},"canonical_sha256":"ee29a1e6b0d0c503720ae594ba8a97b09717cd88394b1fca4889201f13419d5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:39:00.814017Z","signature_b64":"u6jJi9YslCpSjH6mi859lDXukUFD6pid4GQHQVssn1xmpGOKXhp4mNFXKFMxN1lKVmInQ7tx2VrEJK1byXn6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee29a1e6b0d0c503720ae594ba8a97b09717cd88394b1fca4889201f13419d5c","last_reissued_at":"2026-07-05T11:39:00.813593Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:39:00.813593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.06004","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":"2026-07-05T11:39:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A1jYxS+urDHHt6E1nx8TOPEWE0ukY9TFsgHOeSpxs/LueoppEfnwLlJRwR9h25gWptUjzrZD8tGUaquYXvLmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:14:26.202698Z"},"content_sha256":"bef4485ac98b4182ad9bac8216ee5bcda5a56cf597fb05a16535d12e52cfa094","schema_version":"1.0","event_id":"sha256:bef4485ac98b4182ad9bac8216ee5bcda5a56cf597fb05a16535d12e52cfa094"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:5YU2DZVQ2DCQG4QK4WKLVCUXWC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solution of a non-Hermitian $\\mathscr{PT}$-symmetric Heisenberg spin chain","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Natan Andrei, Parameshwar R. Pasnoori, Pradip Kattel","submitted_at":"2023-01-15T02:32:44Z","abstract_excerpt":"We construct the exact solution of a non-Hermitian $\\mathscr{PT}$-symmetric isotropic Heisenberg spin chain with integrable boundary fields. We find that the system exhibits two types of phases we refer to as $A$ and $B$ phases. In the $B$ type phase, the $\\mathscr{PT}$- symmetry remains unbroken and it consists of eigenstates with only real energies, whereas the $A$ type phase contains a $\\mathscr{PT}$-symmetry broken sector comprised of eigenstates with only complex energies and a sector of unbroken $\\mathscr{PT}$-symmetry with eigenstates of real energies. The $\\mathscr{PT}$-symmetry broken"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.06004","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.06004/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":"2026-07-05T11:39:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xQLpGAOho1lNYFG4/+qmL1OmDAqnOrUW5ofTGuRR5tqvA7nmhAWliDa1PkVNt99xGnaS6PQ163Z2hNPuek/tBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:14:26.203237Z"},"content_sha256":"cc62dd0d45e68b18069e6ea6821aeed80bb4e6fc2a035b6517389a8471bdee49","schema_version":"1.0","event_id":"sha256:cc62dd0d45e68b18069e6ea6821aeed80bb4e6fc2a035b6517389a8471bdee49"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5YU2DZVQ2DCQG4QK4WKLVCUXWC/bundle.json","state_url":"https://pith.science/pith/5YU2DZVQ2DCQG4QK4WKLVCUXWC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5YU2DZVQ2DCQG4QK4WKLVCUXWC/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":"2026-08-12T15:14:26Z","links":{"resolver":"https://pith.science/pith/5YU2DZVQ2DCQG4QK4WKLVCUXWC","bundle":"https://pith.science/pith/5YU2DZVQ2DCQG4QK4WKLVCUXWC/bundle.json","state":"https://pith.science/pith/5YU2DZVQ2DCQG4QK4WKLVCUXWC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5YU2DZVQ2DCQG4QK4WKLVCUXWC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5YU2DZVQ2DCQG4QK4WKLVCUXWC","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":"cfa2ea9505cd00ab6a1dfc2bf0504afc2060c38cede755ba9d73e66d4fee9970","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-01-15T02:32:44Z","title_canon_sha256":"f7b691f8755556428b9a3b0e8974f989f0914e284f923a77fc0123bbf8836f36"},"schema_version":"1.0","source":{"id":"2301.06004","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.06004","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"arxiv_version","alias_value":"2301.06004v2","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.06004","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"pith_short_12","alias_value":"5YU2DZVQ2DCQ","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"pith_short_16","alias_value":"5YU2DZVQ2DCQG4QK","created_at":"2026-07-05T11:39:00Z"},{"alias_kind":"pith_short_8","alias_value":"5YU2DZVQ","created_at":"2026-07-05T11:39:00Z"}],"graph_snapshots":[{"event_id":"sha256:cc62dd0d45e68b18069e6ea6821aeed80bb4e6fc2a035b6517389a8471bdee49","target":"graph","created_at":"2026-07-05T11:39:00Z","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/2301.06004/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct the exact solution of a non-Hermitian $\\mathscr{PT}$-symmetric isotropic Heisenberg spin chain with integrable boundary fields. We find that the system exhibits two types of phases we refer to as $A$ and $B$ phases. In the $B$ type phase, the $\\mathscr{PT}$- symmetry remains unbroken and it consists of eigenstates with only real energies, whereas the $A$ type phase contains a $\\mathscr{PT}$-symmetry broken sector comprised of eigenstates with only complex energies and a sector of unbroken $\\mathscr{PT}$-symmetry with eigenstates of real energies. The $\\mathscr{PT}$-symmetry broken","authors_text":"Natan Andrei, Parameshwar R. Pasnoori, Pradip Kattel","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-01-15T02:32:44Z","title":"Exact solution of a non-Hermitian $\\mathscr{PT}$-symmetric Heisenberg spin chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.06004","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:bef4485ac98b4182ad9bac8216ee5bcda5a56cf597fb05a16535d12e52cfa094","target":"record","created_at":"2026-07-05T11:39:00Z","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":"cfa2ea9505cd00ab6a1dfc2bf0504afc2060c38cede755ba9d73e66d4fee9970","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-01-15T02:32:44Z","title_canon_sha256":"f7b691f8755556428b9a3b0e8974f989f0914e284f923a77fc0123bbf8836f36"},"schema_version":"1.0","source":{"id":"2301.06004","kind":"arxiv","version":2}},"canonical_sha256":"ee29a1e6b0d0c503720ae594ba8a97b09717cd88394b1fca4889201f13419d5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee29a1e6b0d0c503720ae594ba8a97b09717cd88394b1fca4889201f13419d5c","first_computed_at":"2026-07-05T11:39:00.813593Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:39:00.813593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u6jJi9YslCpSjH6mi859lDXukUFD6pid4GQHQVssn1xmpGOKXhp4mNFXKFMxN1lKVmInQ7tx2VrEJK1byXn6Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:39:00.814017Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.06004","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bef4485ac98b4182ad9bac8216ee5bcda5a56cf597fb05a16535d12e52cfa094","sha256:cc62dd0d45e68b18069e6ea6821aeed80bb4e6fc2a035b6517389a8471bdee49"],"state_sha256":"56bc450133b73f5729d11df3d8f4a6933125851a5e00aa4e7d26dbb6439856d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HwXDADDmwTVw3wqY1rzqojGwuRmbcJxq7BRCa4a8SJiZfo6TYZj4pVBWbRebUGKTlU32wpHe0SaiedaMd3ljCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T15:14:26.208127Z","bundle_sha256":"a9204e4d58c47bd3a34569e5f69e8cbd7244f81194c8b4e1ee96c5b2403b9a9a"}}