{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RDMIRRPEGPZTCFS7IB3ZKFVN64","short_pith_number":"pith:RDMIRRPE","canonical_record":{"source":{"id":"1805.08560","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-05-22T13:03:52Z","cross_cats_sorted":[],"title_canon_sha256":"52cadf114f1cde38ee381f1e0a93888e9d6e2c6b7c0108cc2d9e311efcc0cc71","abstract_canon_sha256":"d1f87e3708f7f8ed375edd96beb0505fbbd79c5dd53ce6a146a2f4f835825f6b"},"schema_version":"1.0"},"canonical_sha256":"88d888c5e433f331165f40779516adf718ffcd8f6ca4e92f22efbb9c38997e7e","source":{"kind":"arxiv","id":"1805.08560","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08560","created_at":"2026-05-18T00:11:23Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08560v2","created_at":"2026-05-18T00:11:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08560","created_at":"2026-05-18T00:11:23Z"},{"alias_kind":"pith_short_12","alias_value":"RDMIRRPEGPZT","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RDMIRRPEGPZTCFS7","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RDMIRRPE","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RDMIRRPEGPZTCFS7IB3ZKFVN64","target":"record","payload":{"canonical_record":{"source":{"id":"1805.08560","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-05-22T13:03:52Z","cross_cats_sorted":[],"title_canon_sha256":"52cadf114f1cde38ee381f1e0a93888e9d6e2c6b7c0108cc2d9e311efcc0cc71","abstract_canon_sha256":"d1f87e3708f7f8ed375edd96beb0505fbbd79c5dd53ce6a146a2f4f835825f6b"},"schema_version":"1.0"},"canonical_sha256":"88d888c5e433f331165f40779516adf718ffcd8f6ca4e92f22efbb9c38997e7e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:23.242475Z","signature_b64":"D8BNDKdMfjTzogFCwgea6/zO3WaoYKWyjo6HnegahnOMd7nUmNbcVPglg8OwF5xVbLPFZX8YypePy2iq/DDIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88d888c5e433f331165f40779516adf718ffcd8f6ca4e92f22efbb9c38997e7e","last_reissued_at":"2026-05-18T00:11:23.242034Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:23.242034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.08560","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":"2026-05-18T00:11:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5ZmzLi9AzoM0mx5hVsrKGY9vgB3BET4z0AVfKExlBcsmy6RlwDex2wh3DTm7/kdRS64iCy8i7KNOYjHOn/GjCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:46:54.885942Z"},"content_sha256":"bf4ec19b23d6dd2298894a2a41e060c630a02695d14721972a2b437c32a45feb","schema_version":"1.0","event_id":"sha256:bf4ec19b23d6dd2298894a2a41e060c630a02695d14721972a2b437c32a45feb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RDMIRRPEGPZTCFS7IB3ZKFVN64","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Deformed Quon Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Hery Randriamaro","submitted_at":"2018-05-22T13:03:52Z","abstract_excerpt":"The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and creation operators obey the quon algebra which interpolates between fermions and bosons. In this paper we generalize these models by introducing a deformation of the quon algebra generated by a collection of operators $a_{i,k}$, $(i,k) \\in \\mathbb{N}^* \\times [m]$, on an infinite dimensional vector space satisfying the deformed $q$-mutator relations $a_{j,l} a_{i,k}^{\\dag} = "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08560","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":"2026-05-18T00:11:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dN26f7MHK2MRwgAYBBNtcsid8MNXnc9fc6RjgnRCwHVQephtc9lzDy50QzjvPwhokkIGmaUXh8vIXo1HDtX5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:46:54.886293Z"},"content_sha256":"025544dab04f6f1eeb980d8ecc0419025039d184ce18c2997db133f5fd5d6997","schema_version":"1.0","event_id":"sha256:025544dab04f6f1eeb980d8ecc0419025039d184ce18c2997db133f5fd5d6997"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RDMIRRPEGPZTCFS7IB3ZKFVN64/bundle.json","state_url":"https://pith.science/pith/RDMIRRPEGPZTCFS7IB3ZKFVN64/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RDMIRRPEGPZTCFS7IB3ZKFVN64/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":"2026-06-05T18:46:54Z","links":{"resolver":"https://pith.science/pith/RDMIRRPEGPZTCFS7IB3ZKFVN64","bundle":"https://pith.science/pith/RDMIRRPEGPZTCFS7IB3ZKFVN64/bundle.json","state":"https://pith.science/pith/RDMIRRPEGPZTCFS7IB3ZKFVN64/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RDMIRRPEGPZTCFS7IB3ZKFVN64/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RDMIRRPEGPZTCFS7IB3ZKFVN64","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":"d1f87e3708f7f8ed375edd96beb0505fbbd79c5dd53ce6a146a2f4f835825f6b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-05-22T13:03:52Z","title_canon_sha256":"52cadf114f1cde38ee381f1e0a93888e9d6e2c6b7c0108cc2d9e311efcc0cc71"},"schema_version":"1.0","source":{"id":"1805.08560","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08560","created_at":"2026-05-18T00:11:23Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08560v2","created_at":"2026-05-18T00:11:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08560","created_at":"2026-05-18T00:11:23Z"},{"alias_kind":"pith_short_12","alias_value":"RDMIRRPEGPZT","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RDMIRRPEGPZTCFS7","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RDMIRRPE","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:025544dab04f6f1eeb980d8ecc0419025039d184ce18c2997db133f5fd5d6997","target":"graph","created_at":"2026-05-18T00:11:23Z","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 quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and creation operators obey the quon algebra which interpolates between fermions and bosons. In this paper we generalize these models by introducing a deformation of the quon algebra generated by a collection of operators $a_{i,k}$, $(i,k) \\in \\mathbb{N}^* \\times [m]$, on an infinite dimensional vector space satisfying the deformed $q$-mutator relations $a_{j,l} a_{i,k}^{\\dag} = ","authors_text":"Hery Randriamaro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-05-22T13:03:52Z","title":"A Deformed Quon Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08560","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:bf4ec19b23d6dd2298894a2a41e060c630a02695d14721972a2b437c32a45feb","target":"record","created_at":"2026-05-18T00:11:23Z","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":"d1f87e3708f7f8ed375edd96beb0505fbbd79c5dd53ce6a146a2f4f835825f6b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-05-22T13:03:52Z","title_canon_sha256":"52cadf114f1cde38ee381f1e0a93888e9d6e2c6b7c0108cc2d9e311efcc0cc71"},"schema_version":"1.0","source":{"id":"1805.08560","kind":"arxiv","version":2}},"canonical_sha256":"88d888c5e433f331165f40779516adf718ffcd8f6ca4e92f22efbb9c38997e7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88d888c5e433f331165f40779516adf718ffcd8f6ca4e92f22efbb9c38997e7e","first_computed_at":"2026-05-18T00:11:23.242034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:23.242034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D8BNDKdMfjTzogFCwgea6/zO3WaoYKWyjo6HnegahnOMd7nUmNbcVPglg8OwF5xVbLPFZX8YypePy2iq/DDIDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:23.242475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.08560","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf4ec19b23d6dd2298894a2a41e060c630a02695d14721972a2b437c32a45feb","sha256:025544dab04f6f1eeb980d8ecc0419025039d184ce18c2997db133f5fd5d6997"],"state_sha256":"8b765de45649ec4581e12e33e31ead08a2b839d03145e7a05ee1162a4fbc423f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GcPy7r2dJqlBBCZtkDsE2x6wPA29qviyO1kzcvpu6yX29oxIJQy0DC8bS/QGQs6vu50F87Ril/knsh897fnvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:46:54.888283Z","bundle_sha256":"b331e0a53147a46b00c92a3cf3ec38292d1227978a969fd2587ed7c64ecd593c"}}