Pith Number

pith:THXPU5RS

pith:2011:THXPU5RSIKBOXDJYBLCV7BO4MF

not attested not anchored not stored refs pending

Lectures on spin representation theory of symmetric groups

Jinkui Wan, Weiqiang Wang

arxiv:1110.0263 v2 · 2011-10-03 · math.RT · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THXPU5RSIKBOXDJYBLCV7BO4MF}

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	2026-05-18T04:06:20.515538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99eefa76324282eb8d380ac55f85dc616b3ed3439bdf6b8c7c094dc2dbf6e7ab

Aliases

arxiv: 1110.0263 · arxiv_version: 1110.0263v2 · doi: 10.48550/arxiv.1110.0263 · pith_short_12: THXPU5RSIKBO · pith_short_16: THXPU5RSIKBOXDJY · pith_short_8: THXPU5RS

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/THXPU5RSIKBOXDJYBLCV7BO4MF \
  | 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: 99eefa76324282eb8d380ac55f85dc616b3ed3439bdf6b8c7c094dc2dbf6e7ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2354c20c8b69b1f9d9ed69477e2be08a67ada67cc83403a5f061c28a12d058",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-03T03:59:23Z",
    "title_canon_sha256": "02a663ebb362df3cf610579b0f0c792cd07418e80cb6129e5e954f7ae02601a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0263",
    "kind": "arxiv",
    "version": 2
  }
}