{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TUS727UAOAIK3JI3VBXITVB7IL","short_pith_number":"pith:TUS727UA","canonical_record":{"source":{"id":"1611.06552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-20T17:24:22Z","cross_cats_sorted":[],"title_canon_sha256":"86ada1cdc45a39542051c965ef62dc333f5a3ed6ab0c4db89ae3c764bec6eb7f","abstract_canon_sha256":"701660d87a7cab46bfc89f72c863668658ce863951ed774d60b0770fc3764a24"},"schema_version":"1.0"},"canonical_sha256":"9d25fd7e807010ada51ba86e89d43f42fe8e7a3f21790b6a1141a26491d0fbb6","source":{"kind":"arxiv","id":"1611.06552","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06552","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06552v1","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06552","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"pith_short_12","alias_value":"TUS727UAOAIK","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TUS727UAOAIK3JI3","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TUS727UA","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TUS727UAOAIK3JI3VBXITVB7IL","target":"record","payload":{"canonical_record":{"source":{"id":"1611.06552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-20T17:24:22Z","cross_cats_sorted":[],"title_canon_sha256":"86ada1cdc45a39542051c965ef62dc333f5a3ed6ab0c4db89ae3c764bec6eb7f","abstract_canon_sha256":"701660d87a7cab46bfc89f72c863668658ce863951ed774d60b0770fc3764a24"},"schema_version":"1.0"},"canonical_sha256":"9d25fd7e807010ada51ba86e89d43f42fe8e7a3f21790b6a1141a26491d0fbb6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:36.453235Z","signature_b64":"ktQfGHWKyI74LTg9uJx84nx/5AkObQYwcDsll+ex1r1nBD4GwzUrVc8Th1gwr3og9erjGSw9sCRfo7Nc54VIDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d25fd7e807010ada51ba86e89d43f42fe8e7a3f21790b6a1141a26491d0fbb6","last_reissued_at":"2026-05-18T00:57:36.452616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:36.452616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.06552","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":"2026-05-18T00:57:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l7iA29s5Y7WKaGLEdtoubuU1rRNiLYvog/gThpUMnr+cX/UIgZMX1mW9Zm2HbP1648NDt89Pqho5tDvkqB8xCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:38:01.983116Z"},"content_sha256":"4f57d95696a3b4fc50ca2643191da66cafe3dfb8f53f0190deb196a5d75afd8d","schema_version":"1.0","event_id":"sha256:4f57d95696a3b4fc50ca2643191da66cafe3dfb8f53f0190deb196a5d75afd8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TUS727UAOAIK3JI3VBXITVB7IL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The statistical properties of the q-deformed Dirac oscillator in one and two-dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Abdelmalek Boumali, Hassan Hassanabadi","submitted_at":"2016-11-20T17:24:22Z","abstract_excerpt":"In this paper, we study the behavior of the eigenvalues of the one and two dimensions of q-deformed Dirac oscillator. The eigensolutions have been obtained by using a method based on the q-deformed creation and annihilation operators in both dimensions. For a two-dimensional case, we have used the complex formalism which reduced the problem to the problem of one dimensional case. The influence of the q-numbers on the eigenvalues has been well analyzed. Also, the connection between the q-oscillator and a quantum optics is well established. Finally, for very small deformation \\eta, we have menti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06552","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":"2026-05-18T00:57:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9RBxM6lWeBhiEieH+ZHQJFITLhDgAqrtCz8TU9/eWSwMUUqRXMDgIQjzEml50BjQ4Vk/QFb5Bjvz3aA0GE5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:38:01.983808Z"},"content_sha256":"c2536b264f5b7400779ead7e07884676652b002225e4fdc0959344b33b4bb4a2","schema_version":"1.0","event_id":"sha256:c2536b264f5b7400779ead7e07884676652b002225e4fdc0959344b33b4bb4a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TUS727UAOAIK3JI3VBXITVB7IL/bundle.json","state_url":"https://pith.science/pith/TUS727UAOAIK3JI3VBXITVB7IL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TUS727UAOAIK3JI3VBXITVB7IL/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":"2026-05-25T17:38:01Z","links":{"resolver":"https://pith.science/pith/TUS727UAOAIK3JI3VBXITVB7IL","bundle":"https://pith.science/pith/TUS727UAOAIK3JI3VBXITVB7IL/bundle.json","state":"https://pith.science/pith/TUS727UAOAIK3JI3VBXITVB7IL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TUS727UAOAIK3JI3VBXITVB7IL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TUS727UAOAIK3JI3VBXITVB7IL","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":"701660d87a7cab46bfc89f72c863668658ce863951ed774d60b0770fc3764a24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-20T17:24:22Z","title_canon_sha256":"86ada1cdc45a39542051c965ef62dc333f5a3ed6ab0c4db89ae3c764bec6eb7f"},"schema_version":"1.0","source":{"id":"1611.06552","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06552","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06552v1","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06552","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"pith_short_12","alias_value":"TUS727UAOAIK","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TUS727UAOAIK3JI3","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TUS727UA","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:c2536b264f5b7400779ead7e07884676652b002225e4fdc0959344b33b4bb4a2","target":"graph","created_at":"2026-05-18T00:57:36Z","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 this paper, we study the behavior of the eigenvalues of the one and two dimensions of q-deformed Dirac oscillator. The eigensolutions have been obtained by using a method based on the q-deformed creation and annihilation operators in both dimensions. For a two-dimensional case, we have used the complex formalism which reduced the problem to the problem of one dimensional case. The influence of the q-numbers on the eigenvalues has been well analyzed. Also, the connection between the q-oscillator and a quantum optics is well established. Finally, for very small deformation \\eta, we have menti","authors_text":"Abdelmalek Boumali, Hassan Hassanabadi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-20T17:24:22Z","title":"The statistical properties of the q-deformed Dirac oscillator in one and two-dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06552","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":"sha256:4f57d95696a3b4fc50ca2643191da66cafe3dfb8f53f0190deb196a5d75afd8d","target":"record","created_at":"2026-05-18T00:57:36Z","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":"701660d87a7cab46bfc89f72c863668658ce863951ed774d60b0770fc3764a24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-20T17:24:22Z","title_canon_sha256":"86ada1cdc45a39542051c965ef62dc333f5a3ed6ab0c4db89ae3c764bec6eb7f"},"schema_version":"1.0","source":{"id":"1611.06552","kind":"arxiv","version":1}},"canonical_sha256":"9d25fd7e807010ada51ba86e89d43f42fe8e7a3f21790b6a1141a26491d0fbb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d25fd7e807010ada51ba86e89d43f42fe8e7a3f21790b6a1141a26491d0fbb6","first_computed_at":"2026-05-18T00:57:36.452616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:36.452616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ktQfGHWKyI74LTg9uJx84nx/5AkObQYwcDsll+ex1r1nBD4GwzUrVc8Th1gwr3og9erjGSw9sCRfo7Nc54VIDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:36.453235Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06552","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f57d95696a3b4fc50ca2643191da66cafe3dfb8f53f0190deb196a5d75afd8d","sha256:c2536b264f5b7400779ead7e07884676652b002225e4fdc0959344b33b4bb4a2"],"state_sha256":"61d37bac45cc7fc95d81cef0b78f95d3dd3e72c6f53d6cce2a9157f2864f9357"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Li6n+fPexIf0RtS9fOhzOmyTFMJR+ZNP44fIUBuRx0OtcRyP34+rEl+cY8kDcGCzHIoDs+OvV03FP09vV8WeDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:38:01.987436Z","bundle_sha256":"abf51f5805a7fa99b26730e6c8e98d25fae7fa78b826e0c45b592f56bbde7a33"}}