{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LQLSLRSMZZDDNGG3MWWOUJCNWB","short_pith_number":"pith:LQLSLRSM","canonical_record":{"source":{"id":"1311.5684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-22T09:10:17Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"47b4bb19b3abccca6f785bcfa7494dc3648d01a44c05c6c0e6ea6a08eab33844","abstract_canon_sha256":"8d9001b02cd6366b25b721696ef25b5ee8d3a2c7019e30775b0fb8ea872272de"},"schema_version":"1.0"},"canonical_sha256":"5c1725c64cce463698db65acea244db0563c25331508a01a4ef607caa3fac2f1","source":{"kind":"arxiv","id":"1311.5684","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5684","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5684v1","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5684","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"pith_short_12","alias_value":"LQLSLRSMZZDD","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LQLSLRSMZZDDNGG3","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LQLSLRSM","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LQLSLRSMZZDDNGG3MWWOUJCNWB","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-22T09:10:17Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"47b4bb19b3abccca6f785bcfa7494dc3648d01a44c05c6c0e6ea6a08eab33844","abstract_canon_sha256":"8d9001b02cd6366b25b721696ef25b5ee8d3a2c7019e30775b0fb8ea872272de"},"schema_version":"1.0"},"canonical_sha256":"5c1725c64cce463698db65acea244db0563c25331508a01a4ef607caa3fac2f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:23.522218Z","signature_b64":"bfjoTiCGtWi/pQ+MzfTaOVzPkWxWECpajWPzYmT9VUYVhJaeJtxJte9OaodT4OyP8viXue7ymyMaEPU+QtPUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c1725c64cce463698db65acea244db0563c25331508a01a4ef607caa3fac2f1","last_reissued_at":"2026-05-18T03:06:23.521604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:23.521604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5684","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":"2026-05-18T03:06:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sO44hSc/kvhbXjmeo+qIlm81KgM2kxQB2Bg6k+pyeM1M5sGybmFtzMa2xZR+5QuDlZy14Z/P650wcQJ7WaTkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:21:45.760372Z"},"content_sha256":"d4472adaf1450bd89b48e8a2b2181f0f45a72e0b14a00326a1637520463aa985","schema_version":"1.0","event_id":"sha256:d4472adaf1450bd89b48e8a2b2181f0f45a72e0b14a00326a1637520463aa985"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LQLSLRSMZZDDNGG3MWWOUJCNWB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three types of polynomials related to q-oscillator algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Mahouton Norbert Hounkonnou, Sama Arjika, Won Sang Chung","submitted_at":"2013-11-22T09:10:17Z","abstract_excerpt":"This work addresses a full characterization of three new q-polynomials derived from the $q-$oscillator algebra. Related matrix elements and generating functions are deduced. Further, a connection between Hahn factorial and q-Gaussian polynomials is established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5684","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":"2026-05-18T03:06:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lt2KJellvH0G816Mb721UWpxXHve40pqTDfDQraV9qa29doE1dfA0rrhmvBtd63/uLQOyg1DMaas6RxFIYKwDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:21:45.760713Z"},"content_sha256":"2c9ec93a28c9491f672e73ce450321cde5b641d43a8ff2d6efca7c91ca21662e","schema_version":"1.0","event_id":"sha256:2c9ec93a28c9491f672e73ce450321cde5b641d43a8ff2d6efca7c91ca21662e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LQLSLRSMZZDDNGG3MWWOUJCNWB/bundle.json","state_url":"https://pith.science/pith/LQLSLRSMZZDDNGG3MWWOUJCNWB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LQLSLRSMZZDDNGG3MWWOUJCNWB/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":"2026-06-02T10:21:45Z","links":{"resolver":"https://pith.science/pith/LQLSLRSMZZDDNGG3MWWOUJCNWB","bundle":"https://pith.science/pith/LQLSLRSMZZDDNGG3MWWOUJCNWB/bundle.json","state":"https://pith.science/pith/LQLSLRSMZZDDNGG3MWWOUJCNWB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LQLSLRSMZZDDNGG3MWWOUJCNWB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LQLSLRSMZZDDNGG3MWWOUJCNWB","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":"8d9001b02cd6366b25b721696ef25b5ee8d3a2c7019e30775b0fb8ea872272de","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-22T09:10:17Z","title_canon_sha256":"47b4bb19b3abccca6f785bcfa7494dc3648d01a44c05c6c0e6ea6a08eab33844"},"schema_version":"1.0","source":{"id":"1311.5684","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5684","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5684v1","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5684","created_at":"2026-05-18T03:06:23Z"},{"alias_kind":"pith_short_12","alias_value":"LQLSLRSMZZDD","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LQLSLRSMZZDDNGG3","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LQLSLRSM","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:2c9ec93a28c9491f672e73ce450321cde5b641d43a8ff2d6efca7c91ca21662e","target":"graph","created_at":"2026-05-18T03:06:23Z","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":"This work addresses a full characterization of three new q-polynomials derived from the $q-$oscillator algebra. Related matrix elements and generating functions are deduced. Further, a connection between Hahn factorial and q-Gaussian polynomials is established.","authors_text":"Mahouton Norbert Hounkonnou, Sama Arjika, Won Sang Chung","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-22T09:10:17Z","title":"Three types of polynomials related to q-oscillator algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5684","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:d4472adaf1450bd89b48e8a2b2181f0f45a72e0b14a00326a1637520463aa985","target":"record","created_at":"2026-05-18T03:06:23Z","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":"8d9001b02cd6366b25b721696ef25b5ee8d3a2c7019e30775b0fb8ea872272de","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-22T09:10:17Z","title_canon_sha256":"47b4bb19b3abccca6f785bcfa7494dc3648d01a44c05c6c0e6ea6a08eab33844"},"schema_version":"1.0","source":{"id":"1311.5684","kind":"arxiv","version":1}},"canonical_sha256":"5c1725c64cce463698db65acea244db0563c25331508a01a4ef607caa3fac2f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c1725c64cce463698db65acea244db0563c25331508a01a4ef607caa3fac2f1","first_computed_at":"2026-05-18T03:06:23.521604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:23.521604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bfjoTiCGtWi/pQ+MzfTaOVzPkWxWECpajWPzYmT9VUYVhJaeJtxJte9OaodT4OyP8viXue7ymyMaEPU+QtPUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:23.522218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5684","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4472adaf1450bd89b48e8a2b2181f0f45a72e0b14a00326a1637520463aa985","sha256:2c9ec93a28c9491f672e73ce450321cde5b641d43a8ff2d6efca7c91ca21662e"],"state_sha256":"62bb06f01aa92148ce60477785a26b8f1528cb7ea0016f390325386081c4f2eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4nFXuDaLojwm3Xd4noRJ/wdHjHydD+mmJcijk8NANjD3IfkIJpjqI0SBq28Bh/DWKq/ee6d69huMW0Jet+taDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:21:45.762618Z","bundle_sha256":"61d9a8957ec91d61b4825e0894e4aab3dbe8e1067379b91fcfde6397950ad07a"}}