{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:OFG7CLSMBPPKQ5PKDARPLRBU62","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":"3d90963546999e6b67bc69714e8b2e8185106a1cdb42cd4ea996aeb5c2860557","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"","primary_cat":"math-ph","submitted_at":"2001-01-08T17:54:39Z","title_canon_sha256":"0db4badddd6b7a978e4f0d245831f1f4ff7b539487404e09567d386764cc12ed"},"schema_version":"1.0","source":{"id":"math-ph/0101009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0101009","created_at":"2026-05-18T00:37:08Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0101009v1","created_at":"2026-05-18T00:37:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0101009","created_at":"2026-05-18T00:37:08Z"},{"alias_kind":"pith_short_12","alias_value":"OFG7CLSMBPPK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"OFG7CLSMBPPKQ5PK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"OFG7CLSM","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:43977986978fd80b4de3d90333aa783190bd427c51e9d0818a64e27730638d70","target":"graph","created_at":"2026-05-18T00:37:08Z","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 Hamiltonian for a fractional supersymmetric oscillator is derived from three approaches. The first one is based on a decomposition in which a Q-uon gives rise to an ordinary boson and a k-fermion (a k-fermion being an object interpolating between boson and fermion). The second one starts from a generalized Weyl-Heisenberg algebra. Finally, the third one relies on the quantum algebra Uq(sl(2)) where q is a root of unity.","authors_text":"M. Daoud, M.R. Kibler","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2001-01-08T17:54:39Z","title":"On Fractional Supersymmetric Quantum Mechanics: The Fractional Supersymmetric Oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0101009","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":"sha256:453294410883b81b32751e33fc7d7a5e3bc499e218d413f287a13b0f58955f14","target":"record","created_at":"2026-05-18T00:37:08Z","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":"3d90963546999e6b67bc69714e8b2e8185106a1cdb42cd4ea996aeb5c2860557","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"","primary_cat":"math-ph","submitted_at":"2001-01-08T17:54:39Z","title_canon_sha256":"0db4badddd6b7a978e4f0d245831f1f4ff7b539487404e09567d386764cc12ed"},"schema_version":"1.0","source":{"id":"math-ph/0101009","kind":"arxiv","version":1}},"canonical_sha256":"714df12e4c0bdea875ea1822f5c434f6941ba1da59e39dbc4a8581262508ae41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"714df12e4c0bdea875ea1822f5c434f6941ba1da59e39dbc4a8581262508ae41","first_computed_at":"2026-05-18T00:37:08.064759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:08.064759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iCZlxuZGiVIMa1+7vcUnlpFWnU/U6CFTqQ9UxeK+NWHBuXCQcDYDxN0NDdH9iEKUaqvnkPV5znL9/l+SjYdrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:08.065300Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0101009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:453294410883b81b32751e33fc7d7a5e3bc499e218d413f287a13b0f58955f14","sha256:43977986978fd80b4de3d90333aa783190bd427c51e9d0818a64e27730638d70"],"state_sha256":"84e585d61d0c13dd704698fcd3fae45b032472e492bc9e183cc42d7a04ac680a"}