{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DYIYX7PL4NKNAKCFLWVXV472DS","short_pith_number":"pith:DYIYX7PL","canonical_record":{"source":{"id":"1304.3295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-11T13:37:56Z","cross_cats_sorted":["math.MP","math.RT","quant-ph"],"title_canon_sha256":"857b81ab092fe5d702e194226b22de6c9e715aa9d39279ed1e0cfaec5bb7dcf0","abstract_canon_sha256":"8051c04024f458630b985ff9e15fb7e4542a714b8b805a9ec8297254af57fadf"},"schema_version":"1.0"},"canonical_sha256":"1e118bfdebe354d028455dab7af3fa1ca368a9f97ce3dea10b5d00825abb768f","source":{"kind":"arxiv","id":"1304.3295","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3295","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3295v2","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3295","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"DYIYX7PL4NKN","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DYIYX7PL4NKNAKCF","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DYIYX7PL","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DYIYX7PL4NKNAKCFLWVXV472DS","target":"record","payload":{"canonical_record":{"source":{"id":"1304.3295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-11T13:37:56Z","cross_cats_sorted":["math.MP","math.RT","quant-ph"],"title_canon_sha256":"857b81ab092fe5d702e194226b22de6c9e715aa9d39279ed1e0cfaec5bb7dcf0","abstract_canon_sha256":"8051c04024f458630b985ff9e15fb7e4542a714b8b805a9ec8297254af57fadf"},"schema_version":"1.0"},"canonical_sha256":"1e118bfdebe354d028455dab7af3fa1ca368a9f97ce3dea10b5d00825abb768f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:01.536374Z","signature_b64":"Ss9Z/O7t+w6xBFzYgwWa7COIaPbjjJ11LapPC1kUrrcmLGaHh2Nlk/jQwWvFdgVGoDMsnwX3Q0U2+33YNUR5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e118bfdebe354d028455dab7af3fa1ca368a9f97ce3dea10b5d00825abb768f","last_reissued_at":"2026-05-18T02:33:01.535975Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:01.535975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.3295","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":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sd0bRv04ms/IIX5ag3kOdRtkPppsM7CjERAeh2zsrvirDl+8EUA7NQKEkgHP6j8jmALxsrDgoezxKTG3DZ5IBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:13:09.612258Z"},"content_sha256":"cd8d04605ca93fc9d6820db8a8ecbcf4ca0edcf30cda1035292d587b53a00bfb","schema_version":"1.0","event_id":"sha256:cd8d04605ca93fc9d6820db8a8ecbcf4ca0edcf30cda1035292d587b53a00bfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DYIYX7PL4NKNAKCFLWVXV472DS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The oscillator model for the Lie superalgebra sh(2|2) and Charlier polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.RT","quant-ph"],"primary_cat":"math-ph","authors_text":"E.I. Jafarov, J. Van der Jeugt","submitted_at":"2013-04-11T13:37:56Z","abstract_excerpt":"We investigate an algebraic model for the quantum oscillator based upon the Lie superalgebra sh(2|2), known as the Heisenberg-Weyl superalgebra or \"the algebra of supersymmetric quantum mechanics\", and its Fock representation. The model offers some freedom in the choice of a position and a momentum operator, leading to a free model parameter gamma. Using the technique of Jacobi matrices, we determine the spectrum of the position operator, and show that its wavefunctions are related to Charlier polynomials C_n with parameter gamma^2. Some properties of these wavefunctions are discussed, as well"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3295","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":""},"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":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WTCGeHDNVMjNK8lIPSHFokt2Zry9YCWe3BWjqPnppjnhLcEhTgv+ufHIMGb7M5ZpIi2uCYwLDb1vFZqsBZBXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:13:09.612617Z"},"content_sha256":"ecf3d8a12b45521f24daeba1774b82d17069bb43de3d22c873ee63a8fe525e33","schema_version":"1.0","event_id":"sha256:ecf3d8a12b45521f24daeba1774b82d17069bb43de3d22c873ee63a8fe525e33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DYIYX7PL4NKNAKCFLWVXV472DS/bundle.json","state_url":"https://pith.science/pith/DYIYX7PL4NKNAKCFLWVXV472DS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DYIYX7PL4NKNAKCFLWVXV472DS/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":"2026-05-30T01:13:09Z","links":{"resolver":"https://pith.science/pith/DYIYX7PL4NKNAKCFLWVXV472DS","bundle":"https://pith.science/pith/DYIYX7PL4NKNAKCFLWVXV472DS/bundle.json","state":"https://pith.science/pith/DYIYX7PL4NKNAKCFLWVXV472DS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DYIYX7PL4NKNAKCFLWVXV472DS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DYIYX7PL4NKNAKCFLWVXV472DS","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":"8051c04024f458630b985ff9e15fb7e4542a714b8b805a9ec8297254af57fadf","cross_cats_sorted":["math.MP","math.RT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-11T13:37:56Z","title_canon_sha256":"857b81ab092fe5d702e194226b22de6c9e715aa9d39279ed1e0cfaec5bb7dcf0"},"schema_version":"1.0","source":{"id":"1304.3295","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3295","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3295v2","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3295","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"DYIYX7PL4NKN","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DYIYX7PL4NKNAKCF","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DYIYX7PL","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:ecf3d8a12b45521f24daeba1774b82d17069bb43de3d22c873ee63a8fe525e33","target":"graph","created_at":"2026-05-18T02:33:01Z","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":"We investigate an algebraic model for the quantum oscillator based upon the Lie superalgebra sh(2|2), known as the Heisenberg-Weyl superalgebra or \"the algebra of supersymmetric quantum mechanics\", and its Fock representation. The model offers some freedom in the choice of a position and a momentum operator, leading to a free model parameter gamma. Using the technique of Jacobi matrices, we determine the spectrum of the position operator, and show that its wavefunctions are related to Charlier polynomials C_n with parameter gamma^2. Some properties of these wavefunctions are discussed, as well","authors_text":"E.I. Jafarov, J. Van der Jeugt","cross_cats":["math.MP","math.RT","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-11T13:37:56Z","title":"The oscillator model for the Lie superalgebra sh(2|2) and Charlier polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3295","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:cd8d04605ca93fc9d6820db8a8ecbcf4ca0edcf30cda1035292d587b53a00bfb","target":"record","created_at":"2026-05-18T02:33:01Z","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":"8051c04024f458630b985ff9e15fb7e4542a714b8b805a9ec8297254af57fadf","cross_cats_sorted":["math.MP","math.RT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-11T13:37:56Z","title_canon_sha256":"857b81ab092fe5d702e194226b22de6c9e715aa9d39279ed1e0cfaec5bb7dcf0"},"schema_version":"1.0","source":{"id":"1304.3295","kind":"arxiv","version":2}},"canonical_sha256":"1e118bfdebe354d028455dab7af3fa1ca368a9f97ce3dea10b5d00825abb768f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e118bfdebe354d028455dab7af3fa1ca368a9f97ce3dea10b5d00825abb768f","first_computed_at":"2026-05-18T02:33:01.535975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:01.535975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ss9Z/O7t+w6xBFzYgwWa7COIaPbjjJ11LapPC1kUrrcmLGaHh2Nlk/jQwWvFdgVGoDMsnwX3Q0U2+33YNUR5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:01.536374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3295","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd8d04605ca93fc9d6820db8a8ecbcf4ca0edcf30cda1035292d587b53a00bfb","sha256:ecf3d8a12b45521f24daeba1774b82d17069bb43de3d22c873ee63a8fe525e33"],"state_sha256":"54860fd05d25376842944cb14958696b1e008d5d36334cbec7153bf27b7a4c11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RK49uiSQ9lCAZkjwUz9evFyePtn51ycR0OrVdTZDBJOh0uPa10umxjgW1QEc5zrnNMW4GFwDKkyEKfI1YhoaAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T01:13:09.614549Z","bundle_sha256":"3fa4bec21dd93b3cdd32c46b48b0ce3ea826240240a2ee003adbd23e5bc1e7a0"}}