{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:QY47TEFMIPPOC7CGWZDVJBRYTM","short_pith_number":"pith:QY47TEFM","schema_version":"1.0","canonical_sha256":"8639f990ac43dee17c46b6475486389b0b7f0c07a065a79b0114cc46e4418498","source":{"kind":"arxiv","id":"1404.4938","version":2},"attestation_state":"computed","paper":{"title":"Irreducible decomposition for local representations of quantum Teichm\\\"uller space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Toulisse J\\'er\\'emy","submitted_at":"2014-04-19T08:40:43Z","abstract_excerpt":"We give an irreducible decomposition of the so-called local representations (see arXiv:0707.2151) of the quantum Teichm\\\"uller space $\\mathcal{T}_q(\\Sigma)$ where $\\Sigma$ is a punctured surface of genus $g>0$ and $q$ is a primitive $N$-th root of unity with $N$ odd. As an application, we construct a family of representations of the Kauffman bracket skein algebra of the closed surface $\\overline\\Sigma$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1404.4938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-04-19T08:40:43Z","cross_cats_sorted":[],"title_canon_sha256":"1cd0e03ac4667b5425c3e197ffc903d92c108ac89209f9b4cbd6a868973ee061","abstract_canon_sha256":"d8219e1ceb3a2234aaf02f6797a16c5c0b25abc3fbfa310ac12bec1c81d24f48"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:00.932933Z","signature_b64":"ebkZDrU76ZwPli7uD932M6SzKuAwRXAz+EOpMH0ALIYVUnqUSlBnC+Yw+Ly8JaSmn5AUgZ8Z8QHvim9uuHm7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8639f990ac43dee17c46b6475486389b0b7f0c07a065a79b0114cc46e4418498","last_reissued_at":"2026-05-18T00:21:00.932337Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:00.932337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Irreducible decomposition for local representations of quantum Teichm\\\"uller space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Toulisse J\\'er\\'emy","submitted_at":"2014-04-19T08:40:43Z","abstract_excerpt":"We give an irreducible decomposition of the so-called local representations (see arXiv:0707.2151) of the quantum Teichm\\\"uller space $\\mathcal{T}_q(\\Sigma)$ where $\\Sigma$ is a punctured surface of genus $g>0$ and $q$ is a primitive $N$-th root of unity with $N$ odd. As an application, we construct a family of representations of the Kauffman bracket skein algebra of the closed surface $\\overline\\Sigma$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4938","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1404.4938","created_at":"2026-05-18T00:21:00.932410+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.4938v2","created_at":"2026-05-18T00:21:00.932410+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4938","created_at":"2026-05-18T00:21:00.932410+00:00"},{"alias_kind":"pith_short_12","alias_value":"QY47TEFMIPPO","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"QY47TEFMIPPOC7CG","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"QY47TEFM","created_at":"2026-05-18T12:28:46.137349+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.16077","citing_title":"Volume Conjecture and quantum hyperbolic invariants: the figure eight knot complement","ref_index":59,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QY47TEFMIPPOC7CGWZDVJBRYTM","json":"https://pith.science/pith/QY47TEFMIPPOC7CGWZDVJBRYTM.json","graph_json":"https://pith.science/api/pith-number/QY47TEFMIPPOC7CGWZDVJBRYTM/graph.json","events_json":"https://pith.science/api/pith-number/QY47TEFMIPPOC7CGWZDVJBRYTM/events.json","paper":"https://pith.science/paper/QY47TEFM"},"agent_actions":{"view_html":"https://pith.science/pith/QY47TEFMIPPOC7CGWZDVJBRYTM","download_json":"https://pith.science/pith/QY47TEFMIPPOC7CGWZDVJBRYTM.json","view_paper":"https://pith.science/paper/QY47TEFM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.4938&json=true","fetch_graph":"https://pith.science/api/pith-number/QY47TEFMIPPOC7CGWZDVJBRYTM/graph.json","fetch_events":"https://pith.science/api/pith-number/QY47TEFMIPPOC7CGWZDVJBRYTM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QY47TEFMIPPOC7CGWZDVJBRYTM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QY47TEFMIPPOC7CGWZDVJBRYTM/action/storage_attestation","attest_author":"https://pith.science/pith/QY47TEFMIPPOC7CGWZDVJBRYTM/action/author_attestation","sign_citation":"https://pith.science/pith/QY47TEFMIPPOC7CGWZDVJBRYTM/action/citation_signature","submit_replication":"https://pith.science/pith/QY47TEFMIPPOC7CGWZDVJBRYTM/action/replication_record"}},"created_at":"2026-05-18T00:21:00.932410+00:00","updated_at":"2026-05-18T00:21:00.932410+00:00"}