{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:KG2IZYGICRDXUCHZD3H4EXSKEW","short_pith_number":"pith:KG2IZYGI","canonical_record":{"source":{"id":"math-ph/0701023","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2007-01-09T14:12:45Z","cross_cats_sorted":["hep-th","math.MP","math.QA"],"title_canon_sha256":"a9f1899c074be5625865bfbf559d37cd6f8b23e7be0e5e45d3ef26b76a87aa86","abstract_canon_sha256":"62fda5e8a2767cb2525da31c802bf1066ea43fcfdf271eff8131b7a227f547f2"},"schema_version":"1.0"},"canonical_sha256":"51b48ce0c814477a08f91ecfc25e4a25a2f18b6b1f843e6f72f0d405e92f0c27","source":{"kind":"arxiv","id":"math-ph/0701023","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0701023","created_at":"2026-05-18T03:56:09Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0701023v1","created_at":"2026-05-18T03:56:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0701023","created_at":"2026-05-18T03:56:09Z"},{"alias_kind":"pith_short_12","alias_value":"KG2IZYGICRDX","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"KG2IZYGICRDXUCHZ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"KG2IZYGI","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:KG2IZYGICRDXUCHZD3H4EXSKEW","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0701023","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2007-01-09T14:12:45Z","cross_cats_sorted":["hep-th","math.MP","math.QA"],"title_canon_sha256":"a9f1899c074be5625865bfbf559d37cd6f8b23e7be0e5e45d3ef26b76a87aa86","abstract_canon_sha256":"62fda5e8a2767cb2525da31c802bf1066ea43fcfdf271eff8131b7a227f547f2"},"schema_version":"1.0"},"canonical_sha256":"51b48ce0c814477a08f91ecfc25e4a25a2f18b6b1f843e6f72f0d405e92f0c27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:09.250028Z","signature_b64":"ek7jU4RM4oaeOG+aQLFD/YYWRyfnSRRTnuLkXuFPtIov7atqy32k8BRbotXKEeHLZJAF7yrNexg9BBu0L4QuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51b48ce0c814477a08f91ecfc25e4a25a2f18b6b1f843e6f72f0d405e92f0c27","last_reissued_at":"2026-05-18T03:56:09.249341Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:09.249341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0701023","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":"2026-05-18T03:56:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xXU4iWIcpuCf/1bdHZj9egZ2b6km+hGZpO3u6Qwbi3pdwiMO2KIUwEOWac+UA3X7bPC2R8R1Up1F26hOeOSHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:02:26.283242Z"},"content_sha256":"51fea584d81131ef1d0291ace456a54d0e540c07ef929b3d5a346d1f4b02ad39","schema_version":"1.0","event_id":"sha256:51fea584d81131ef1d0291ace456a54d0e540c07ef929b3d5a346d1f4b02ad39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:KG2IZYGICRDXUCHZD3H4EXSKEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bosonisation and Parastatistics: An Example and an Alternative Approach","license":"","headline":"","cross_cats":["hep-th","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"C. Daskaloyannis, K. Kanakoglou","submitted_at":"2007-01-09T14:12:45Z","abstract_excerpt":"Definitions of the parastatistics algebras and known results on their Lie (super)algebraic structure are reviewed. The notion of super-Hopf algebra is discussed. The bosonisation technique for switching a Hopf algebra in a braided category ${}_{H}\\mathcal{M}$ ($H$: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0701023","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":"2026-05-18T03:56:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4CIDORQE+lfJzDOKn0B1uRZ6oH2r5cpWk/vVRT0KDG9HeTMMQi18DA2koch+WpVU6+3ej1Z2EZkqxgsEEWvoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:02:26.283860Z"},"content_sha256":"25430d4bf4527df1689991f166d2ab543d1003b5ec6419417a5162f80ceda76c","schema_version":"1.0","event_id":"sha256:25430d4bf4527df1689991f166d2ab543d1003b5ec6419417a5162f80ceda76c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KG2IZYGICRDXUCHZD3H4EXSKEW/bundle.json","state_url":"https://pith.science/pith/KG2IZYGICRDXUCHZD3H4EXSKEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KG2IZYGICRDXUCHZD3H4EXSKEW/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":"2026-06-08T16:02:26Z","links":{"resolver":"https://pith.science/pith/KG2IZYGICRDXUCHZD3H4EXSKEW","bundle":"https://pith.science/pith/KG2IZYGICRDXUCHZD3H4EXSKEW/bundle.json","state":"https://pith.science/pith/KG2IZYGICRDXUCHZD3H4EXSKEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KG2IZYGICRDXUCHZD3H4EXSKEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:KG2IZYGICRDXUCHZD3H4EXSKEW","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":"62fda5e8a2767cb2525da31c802bf1066ea43fcfdf271eff8131b7a227f547f2","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"","primary_cat":"math-ph","submitted_at":"2007-01-09T14:12:45Z","title_canon_sha256":"a9f1899c074be5625865bfbf559d37cd6f8b23e7be0e5e45d3ef26b76a87aa86"},"schema_version":"1.0","source":{"id":"math-ph/0701023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0701023","created_at":"2026-05-18T03:56:09Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0701023v1","created_at":"2026-05-18T03:56:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0701023","created_at":"2026-05-18T03:56:09Z"},{"alias_kind":"pith_short_12","alias_value":"KG2IZYGICRDX","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"KG2IZYGICRDXUCHZ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"KG2IZYGI","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:25430d4bf4527df1689991f166d2ab543d1003b5ec6419417a5162f80ceda76c","target":"graph","created_at":"2026-05-18T03:56:09Z","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":"Definitions of the parastatistics algebras and known results on their Lie (super)algebraic structure are reviewed. The notion of super-Hopf algebra is discussed. The bosonisation technique for switching a Hopf algebra in a braided category ${}_{H}\\mathcal{M}$ ($H$: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed.","authors_text":"C. Daskaloyannis, K. Kanakoglou","cross_cats":["hep-th","math.MP","math.QA"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2007-01-09T14:12:45Z","title":"Bosonisation and Parastatistics: An Example and an Alternative Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0701023","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":"sha256:51fea584d81131ef1d0291ace456a54d0e540c07ef929b3d5a346d1f4b02ad39","target":"record","created_at":"2026-05-18T03:56:09Z","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":"62fda5e8a2767cb2525da31c802bf1066ea43fcfdf271eff8131b7a227f547f2","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"","primary_cat":"math-ph","submitted_at":"2007-01-09T14:12:45Z","title_canon_sha256":"a9f1899c074be5625865bfbf559d37cd6f8b23e7be0e5e45d3ef26b76a87aa86"},"schema_version":"1.0","source":{"id":"math-ph/0701023","kind":"arxiv","version":1}},"canonical_sha256":"51b48ce0c814477a08f91ecfc25e4a25a2f18b6b1f843e6f72f0d405e92f0c27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51b48ce0c814477a08f91ecfc25e4a25a2f18b6b1f843e6f72f0d405e92f0c27","first_computed_at":"2026-05-18T03:56:09.249341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:09.249341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ek7jU4RM4oaeOG+aQLFD/YYWRyfnSRRTnuLkXuFPtIov7atqy32k8BRbotXKEeHLZJAF7yrNexg9BBu0L4QuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:09.250028Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0701023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51fea584d81131ef1d0291ace456a54d0e540c07ef929b3d5a346d1f4b02ad39","sha256:25430d4bf4527df1689991f166d2ab543d1003b5ec6419417a5162f80ceda76c"],"state_sha256":"f911d7445d5aff71936d9f1584a0cc3557e72e95e84ee415c94aafd05726bff2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jP0Z3oxRGdVTUJjxb0xc4dLdp2f6PcLTqL+u75bGqu1+FCl0N42ZynwdgCmuP75Pv4fGcsSnbnREar6s3qZ4Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:02:26.287388Z","bundle_sha256":"df808ab486f817e1862a1fc49d9eb6dcd89cd4e4133a7eaa7c9873960df11646"}}