{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7TQW3H7H6ASIWSPA34GSDTBMQO","short_pith_number":"pith:7TQW3H7H","canonical_record":{"source":{"id":"1207.5463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-23T17:33:30Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"bf88989b1d347a8989e457e5536d3d334f3567729a3e5933964ba699e1455cf5","abstract_canon_sha256":"f8fe7807f41858ea699f02d89fddf9571f24da05ea5c75c80495f509e321234a"},"schema_version":"1.0"},"canonical_sha256":"fce16d9fe7f0248b49e0df0d21cc2c83be79dc995dc2054b2bfb5d20536f5e77","source":{"kind":"arxiv","id":"1207.5463","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5463","created_at":"2026-05-18T03:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5463v1","created_at":"2026-05-18T03:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5463","created_at":"2026-05-18T03:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"7TQW3H7H6ASI","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7TQW3H7H6ASIWSPA","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7TQW3H7H","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7TQW3H7H6ASIWSPA34GSDTBMQO","target":"record","payload":{"canonical_record":{"source":{"id":"1207.5463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-23T17:33:30Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"bf88989b1d347a8989e457e5536d3d334f3567729a3e5933964ba699e1455cf5","abstract_canon_sha256":"f8fe7807f41858ea699f02d89fddf9571f24da05ea5c75c80495f509e321234a"},"schema_version":"1.0"},"canonical_sha256":"fce16d9fe7f0248b49e0df0d21cc2c83be79dc995dc2054b2bfb5d20536f5e77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:23.369200Z","signature_b64":"z6Ib6O0VdMZkdsCZwStzp7wh6+RZ996KMhCw+cJLB0colAu0WsIO8nQ93+WtpIK0AIOMdBIqDkjIeKSdQEkOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fce16d9fe7f0248b49e0df0d21cc2c83be79dc995dc2054b2bfb5d20536f5e77","last_reissued_at":"2026-05-18T03:50:23.368254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:23.368254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.5463","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":"2026-05-18T03:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WtnHALm6JiOXwpAGtPn5HBKF/dD2IA/aKMZ7wnzT5KcAkCtlgzuNw5QTh50YWCb4on0wbW4pIP1x2GRQYwcTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T07:25:34.688884Z"},"content_sha256":"e1eb1ce535ea06f07e296a2f94d7dabab6df235c8165884ca6595aee62ab4c15","schema_version":"1.0","event_id":"sha256:e1eb1ce535ea06f07e296a2f94d7dabab6df235c8165884ca6595aee62ab4c15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7TQW3H7H6ASIWSPA34GSDTBMQO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"PT-Symmetric Pseudo-Hermitian Relativistic Quantum Mechanics With a Maximal Mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"V. N. Rodionov","submitted_at":"2012-07-23T17:33:30Z","abstract_excerpt":"The quantum-field model described by non-Hermitian, but a ${\\cal PT}$-symmetric Hamiltonian is considered. It is shown by the algebraic way that the limiting of the physical mass value $m \\leq m_{max}= {m_1}^2/2m_2$ takes place for the case of a fermion field with a $\\gamma_5$-dependent mass term ($m\\rightarrow m_1 +\\gamma_5 m_2 $). In the regions of unbroken $\\cal PT$ symmetry the Hamiltonian $H$ has another symmetry represented by a linear operator $ \\cal C$. We exactly construct this operator by using a non-perturbative method. In terms of $ \\cal C$ operator we calculate a time-independent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5463","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":"2026-05-18T03:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1sFHIe7/KlZ3+B3J6sFcQ2Sf/Be/bjVLmlo8/9t3eTlaksQzDMe396E9JXcp7ActecjkOKkd9RWqYOLBmJDuCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T07:25:34.689479Z"},"content_sha256":"d43f958990ebe9cfbc913672209e1d3fc3914366d1eefd71ea67254674dab0c6","schema_version":"1.0","event_id":"sha256:d43f958990ebe9cfbc913672209e1d3fc3914366d1eefd71ea67254674dab0c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7TQW3H7H6ASIWSPA34GSDTBMQO/bundle.json","state_url":"https://pith.science/pith/7TQW3H7H6ASIWSPA34GSDTBMQO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7TQW3H7H6ASIWSPA34GSDTBMQO/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":"2026-06-04T07:25:34Z","links":{"resolver":"https://pith.science/pith/7TQW3H7H6ASIWSPA34GSDTBMQO","bundle":"https://pith.science/pith/7TQW3H7H6ASIWSPA34GSDTBMQO/bundle.json","state":"https://pith.science/pith/7TQW3H7H6ASIWSPA34GSDTBMQO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7TQW3H7H6ASIWSPA34GSDTBMQO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7TQW3H7H6ASIWSPA34GSDTBMQO","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":"f8fe7807f41858ea699f02d89fddf9571f24da05ea5c75c80495f509e321234a","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-23T17:33:30Z","title_canon_sha256":"bf88989b1d347a8989e457e5536d3d334f3567729a3e5933964ba699e1455cf5"},"schema_version":"1.0","source":{"id":"1207.5463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5463","created_at":"2026-05-18T03:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5463v1","created_at":"2026-05-18T03:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5463","created_at":"2026-05-18T03:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"7TQW3H7H6ASI","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7TQW3H7H6ASIWSPA","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7TQW3H7H","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:d43f958990ebe9cfbc913672209e1d3fc3914366d1eefd71ea67254674dab0c6","target":"graph","created_at":"2026-05-18T03:50:23Z","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 quantum-field model described by non-Hermitian, but a ${\\cal PT}$-symmetric Hamiltonian is considered. It is shown by the algebraic way that the limiting of the physical mass value $m \\leq m_{max}= {m_1}^2/2m_2$ takes place for the case of a fermion field with a $\\gamma_5$-dependent mass term ($m\\rightarrow m_1 +\\gamma_5 m_2 $). In the regions of unbroken $\\cal PT$ symmetry the Hamiltonian $H$ has another symmetry represented by a linear operator $ \\cal C$. We exactly construct this operator by using a non-perturbative method. In terms of $ \\cal C$ operator we calculate a time-independent ","authors_text":"V. N. Rodionov","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-23T17:33:30Z","title":"PT-Symmetric Pseudo-Hermitian Relativistic Quantum Mechanics With a Maximal Mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5463","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:e1eb1ce535ea06f07e296a2f94d7dabab6df235c8165884ca6595aee62ab4c15","target":"record","created_at":"2026-05-18T03:50:23Z","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":"f8fe7807f41858ea699f02d89fddf9571f24da05ea5c75c80495f509e321234a","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-23T17:33:30Z","title_canon_sha256":"bf88989b1d347a8989e457e5536d3d334f3567729a3e5933964ba699e1455cf5"},"schema_version":"1.0","source":{"id":"1207.5463","kind":"arxiv","version":1}},"canonical_sha256":"fce16d9fe7f0248b49e0df0d21cc2c83be79dc995dc2054b2bfb5d20536f5e77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fce16d9fe7f0248b49e0df0d21cc2c83be79dc995dc2054b2bfb5d20536f5e77","first_computed_at":"2026-05-18T03:50:23.368254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:23.368254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z6Ib6O0VdMZkdsCZwStzp7wh6+RZ996KMhCw+cJLB0colAu0WsIO8nQ93+WtpIK0AIOMdBIqDkjIeKSdQEkOAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:23.369200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.5463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1eb1ce535ea06f07e296a2f94d7dabab6df235c8165884ca6595aee62ab4c15","sha256:d43f958990ebe9cfbc913672209e1d3fc3914366d1eefd71ea67254674dab0c6"],"state_sha256":"58c2fcc423e04297f9005980bd8fd334d49e23d81b3901655f1f3d73c10b4608"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QrYyR0Td3A3reqTpl3+Son+BtDtfbRpk846wfgmiXc1VTRs+WK7JqIsUd6s6pIOiJHd8EL+9uMdiLFylMGb8DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T07:25:34.692685Z","bundle_sha256":"e0276ed6593f4fb1f4c478786f49629372282cff900cee5c0488bc1911ed3e89"}}