{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4EBXUSYNACXO4LNGA4LXPS2XC6","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":"b5173dffd1b7f6603885650f13cf102894e997c6adc7bd16c4d78f92494a0327","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-08-02T17:31:40Z","title_canon_sha256":"57413c4a2be361e3eda263ca0b362d528ce3cf6858b9e560210c3dbe51656603"},"schema_version":"1.0","source":{"id":"1108.0629","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0629","created_at":"2026-05-18T04:01:13Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0629v2","created_at":"2026-05-18T04:01:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0629","created_at":"2026-05-18T04:01:13Z"},{"alias_kind":"pith_short_12","alias_value":"4EBXUSYNACXO","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4EBXUSYNACXO4LNG","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4EBXUSYN","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:191a77ae5435268387cb27aaa9ac5c987898e12a8cd1d1702062e5c8c0d20c8e","target":"graph","created_at":"2026-05-18T04:01:13Z","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":"Topological quantum field theory associates to a punctured surface $\\Sigma$, a level $r$ and colors $c$ in $\\{1,...,r-1\\}$ at the marked points a finite dimensional hermitian space $V_r(\\Sigma,c)$. Curves $\\gamma$ on $\\Sigma$ act as Hermitian operator $T_r^\\gamma$ on these spaces. In the case of the punctured torus and the 4 times punctured sphere, we prove that the matrix elements of $T_r^\\gamma$ have an asymptotic expansion in powers of $\\frac{1}{r}$ and we identify the two first terms using trace functions on representation spaces of the surface in $\\su$. We conjecture a formula for the gen","authors_text":"Julien March\\'e (CMLS-EcolePolytechnique), Thierry Paul (CMLS-EcolePolytechnique)","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-08-02T17:31:40Z","title":"Toeplitz operators in TQFT via skein theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0629","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":"sha256:4a9e5eee95699e974124afefc8b6eb81aa85a120e43c0acc5038f314cd9aeba8","target":"record","created_at":"2026-05-18T04:01:13Z","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":"b5173dffd1b7f6603885650f13cf102894e997c6adc7bd16c4d78f92494a0327","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-08-02T17:31:40Z","title_canon_sha256":"57413c4a2be361e3eda263ca0b362d528ce3cf6858b9e560210c3dbe51656603"},"schema_version":"1.0","source":{"id":"1108.0629","kind":"arxiv","version":2}},"canonical_sha256":"e1037a4b0d00aeee2da6071777cb571787508d3bf5436a61e10a8340388fe802","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1037a4b0d00aeee2da6071777cb571787508d3bf5436a61e10a8340388fe802","first_computed_at":"2026-05-18T04:01:13.104076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:13.104076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MrSqy3BKoc+ubqdR09vIkDyTWCBMsYdYeqZW+CNT/uckfK1IAi2/fke623o116qRNENh+2HYpbCG5D+7BfOsDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:13.104777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0629","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a9e5eee95699e974124afefc8b6eb81aa85a120e43c0acc5038f314cd9aeba8","sha256:191a77ae5435268387cb27aaa9ac5c987898e12a8cd1d1702062e5c8c0d20c8e"],"state_sha256":"0389efb008c13f7fa63419020610ee9162446e50b27e4c0b158c1de5f416db9d"}