{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:TEVTTDTSJ7WOHNXPJS4JVABEN7","short_pith_number":"pith:TEVTTDTS","canonical_record":{"source":{"id":"0902.1138","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-02-06T17:06:05Z","cross_cats_sorted":["hep-th","math.MP","math.RA"],"title_canon_sha256":"9161ae9fd0e2d293c38ee489747c959acdfe0fe0fd08f3a527cb306993dbad89","abstract_canon_sha256":"4e9be140d0f34cb0cafb7855eb54b071d0085189913e5b2d4bac7397b6dfcc58"},"schema_version":"1.0"},"canonical_sha256":"992b398e724fece3b6ef4cb89a80246fc53cab4c56feefd82efa148fd5b297b1","source":{"kind":"arxiv","id":"0902.1138","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.1138","created_at":"2026-05-18T02:14:48Z"},{"alias_kind":"arxiv_version","alias_value":"0902.1138v1","created_at":"2026-05-18T02:14:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.1138","created_at":"2026-05-18T02:14:48Z"},{"alias_kind":"pith_short_12","alias_value":"TEVTTDTSJ7WO","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TEVTTDTSJ7WOHNXP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TEVTTDTS","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:TEVTTDTSJ7WOHNXPJS4JVABEN7","target":"record","payload":{"canonical_record":{"source":{"id":"0902.1138","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-02-06T17:06:05Z","cross_cats_sorted":["hep-th","math.MP","math.RA"],"title_canon_sha256":"9161ae9fd0e2d293c38ee489747c959acdfe0fe0fd08f3a527cb306993dbad89","abstract_canon_sha256":"4e9be140d0f34cb0cafb7855eb54b071d0085189913e5b2d4bac7397b6dfcc58"},"schema_version":"1.0"},"canonical_sha256":"992b398e724fece3b6ef4cb89a80246fc53cab4c56feefd82efa148fd5b297b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:48.958180Z","signature_b64":"NvoP3RwJDutXh921KDcQHJNCrAFfGNLjfnBPhDKKZqf8IvsNfEhPYOy9R7/1Bj4ZJySaLYLDwZLcuT+bV0IhCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"992b398e724fece3b6ef4cb89a80246fc53cab4c56feefd82efa148fd5b297b1","last_reissued_at":"2026-05-18T02:14:48.957724Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:48.957724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0902.1138","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":"2026-05-18T02:14:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3rcjYilLqwwT6HMQNU5mWUADJkhsUQSlDWFDKwcV5Vy9+2LJSBB9BXgg+GfRHMY85HCib365iOVi7BO/D09mCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:36:23.634006Z"},"content_sha256":"f6f07f8d263d22e388006019c0f8c31c69c0091d144b31e5e8c16078017a4d27","schema_version":"1.0","event_id":"sha256:f6f07f8d263d22e388006019c0f8c31c69c0091d144b31e5e8c16078017a4d27"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:TEVTTDTSJ7WOHNXPJS4JVABEN7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variants of bosonisation in Parabosonic algebra. The Hopf and super-Hopf structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.RA"],"primary_cat":"math-ph","authors_text":"C. Daskaloyannis, K. Kanakoglou","submitted_at":"2009-02-06T17:06:05Z","abstract_excerpt":"Parabosonic algebra in finite or infinite degrees of freedom is considered as a $\\mathbb{Z}_{2}$-graded associative algebra, and is shown to be a $\\mathbb{Z}_{2}$-graded (or: super) Hopf algebra. The super-Hopf algebraic structure of the parabosonic algebra is established directly without appealing to its relation to the $osp(1/2n)$ Lie superalgebraic structure. The notion of super-Hopf algebra is equivalently described as a Hopf algebra in the braided monoidal category ${}_{\\mathbb{CZ}_{2}}\\mathcal{M}$. The bosonisation technique for switching a Hopf algebra in the braided monoidal category $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.1138","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":"2026-05-18T02:14:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4aliAe/bV9caAIYkjwMrdjXI7hzonOUhveFq7FGHAR4ul7zSKOjUHUpsrupigm8ab1ozbUW8b5AnUt+Im2qEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:36:23.634626Z"},"content_sha256":"2880e3350aefe32f74150d75c20b218fdc7c25afe725edc170d26053384e11f6","schema_version":"1.0","event_id":"sha256:2880e3350aefe32f74150d75c20b218fdc7c25afe725edc170d26053384e11f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TEVTTDTSJ7WOHNXPJS4JVABEN7/bundle.json","state_url":"https://pith.science/pith/TEVTTDTSJ7WOHNXPJS4JVABEN7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TEVTTDTSJ7WOHNXPJS4JVABEN7/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":"2026-06-08T14:36:23Z","links":{"resolver":"https://pith.science/pith/TEVTTDTSJ7WOHNXPJS4JVABEN7","bundle":"https://pith.science/pith/TEVTTDTSJ7WOHNXPJS4JVABEN7/bundle.json","state":"https://pith.science/pith/TEVTTDTSJ7WOHNXPJS4JVABEN7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TEVTTDTSJ7WOHNXPJS4JVABEN7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:TEVTTDTSJ7WOHNXPJS4JVABEN7","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":"4e9be140d0f34cb0cafb7855eb54b071d0085189913e5b2d4bac7397b6dfcc58","cross_cats_sorted":["hep-th","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-02-06T17:06:05Z","title_canon_sha256":"9161ae9fd0e2d293c38ee489747c959acdfe0fe0fd08f3a527cb306993dbad89"},"schema_version":"1.0","source":{"id":"0902.1138","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.1138","created_at":"2026-05-18T02:14:48Z"},{"alias_kind":"arxiv_version","alias_value":"0902.1138v1","created_at":"2026-05-18T02:14:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.1138","created_at":"2026-05-18T02:14:48Z"},{"alias_kind":"pith_short_12","alias_value":"TEVTTDTSJ7WO","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TEVTTDTSJ7WOHNXP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TEVTTDTS","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:2880e3350aefe32f74150d75c20b218fdc7c25afe725edc170d26053384e11f6","target":"graph","created_at":"2026-05-18T02:14:48Z","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":"Parabosonic algebra in finite or infinite degrees of freedom is considered as a $\\mathbb{Z}_{2}$-graded associative algebra, and is shown to be a $\\mathbb{Z}_{2}$-graded (or: super) Hopf algebra. The super-Hopf algebraic structure of the parabosonic algebra is established directly without appealing to its relation to the $osp(1/2n)$ Lie superalgebraic structure. The notion of super-Hopf algebra is equivalently described as a Hopf algebra in the braided monoidal category ${}_{\\mathbb{CZ}_{2}}\\mathcal{M}$. The bosonisation technique for switching a Hopf algebra in the braided monoidal category $","authors_text":"C. Daskaloyannis, K. Kanakoglou","cross_cats":["hep-th","math.MP","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-02-06T17:06:05Z","title":"Variants of bosonisation in Parabosonic algebra. The Hopf and super-Hopf structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.1138","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:f6f07f8d263d22e388006019c0f8c31c69c0091d144b31e5e8c16078017a4d27","target":"record","created_at":"2026-05-18T02:14:48Z","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":"4e9be140d0f34cb0cafb7855eb54b071d0085189913e5b2d4bac7397b6dfcc58","cross_cats_sorted":["hep-th","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-02-06T17:06:05Z","title_canon_sha256":"9161ae9fd0e2d293c38ee489747c959acdfe0fe0fd08f3a527cb306993dbad89"},"schema_version":"1.0","source":{"id":"0902.1138","kind":"arxiv","version":1}},"canonical_sha256":"992b398e724fece3b6ef4cb89a80246fc53cab4c56feefd82efa148fd5b297b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"992b398e724fece3b6ef4cb89a80246fc53cab4c56feefd82efa148fd5b297b1","first_computed_at":"2026-05-18T02:14:48.957724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:48.957724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NvoP3RwJDutXh921KDcQHJNCrAFfGNLjfnBPhDKKZqf8IvsNfEhPYOy9R7/1Bj4ZJySaLYLDwZLcuT+bV0IhCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:48.958180Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.1138","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6f07f8d263d22e388006019c0f8c31c69c0091d144b31e5e8c16078017a4d27","sha256:2880e3350aefe32f74150d75c20b218fdc7c25afe725edc170d26053384e11f6"],"state_sha256":"6789abbd073224dd8ec8762a021e7f4c23d33badae15c806f15213221ecc040e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D9xVFcosWuP2h16XlSxtlaofTPdnfqxngsCF1OMwRaKJfn+Ix65dUHvzHR4Y8p9JCxutBvUbWEb5GNPJTLfsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T14:36:23.637955Z","bundle_sha256":"ad5e91a8553cc4b76a478d2da255aaa3a48e4aa6b25457ceacfc1820e6da2c19"}}