Pith Number

pith:2RPAUHWR

pith:2016:2RPAUHWRRKAXRU55IRAKWWISJN

not attested not anchored not stored refs pending

Multiparameter quantum Schur duality of type B

Hideya Watanabe, Huanchen Bao, Weiqiang Wang

arxiv:1609.01766 v2 · 2016-09-06 · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RPAUHWRRKAXRU55IRAKWWISJN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:13:48.384332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d45e0a1ed18a8178d3bd4440ab59124b7e18e0b4a6b6f09e67491b42c404e186

Aliases

arxiv: 1609.01766 · arxiv_version: 1609.01766v2 · doi: 10.48550/arxiv.1609.01766 · pith_short_12: 2RPAUHWRRKAX · pith_short_16: 2RPAUHWRRKAXRU55 · pith_short_8: 2RPAUHWR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2RPAUHWRRKAXRU55IRAKWWISJN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d45e0a1ed18a8178d3bd4440ab59124b7e18e0b4a6b6f09e67491b42c404e186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18fa1f478db9e9220a3878d45bca13cd5262a0b042e8d9505555346d8385982",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-09-06T21:19:42Z",
    "title_canon_sha256": "d55bfc47531ae9a79a8c13fba6b3ba6f2e71bb5a549447cfec216fa7883ba694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01766",
    "kind": "arxiv",
    "version": 2
  }
}