Pith Number

pith:KX3BVBIE

pith:2010:KX3BVBIE2WR2B46P47UQ3VXMVW

not attested not anchored not stored refs pending

Spin invariant theory for the symmetric group

Jinkui Wan, Weiqiang Wang

arxiv:1002.0272 v3 · 2010-02-01 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KX3BVBIE2WR2B46P47UQ3VXMVW}

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	2026-05-18T04:28:30.017473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f61a8504d5a3a0f3cfe7e90dd6ecad8e7bdc61a2a8b2e738b0656a15eef025

Aliases

arxiv: 1002.0272 · arxiv_version: 1002.0272v3 · doi: 10.48550/arxiv.1002.0272 · pith_short_12: KX3BVBIE2WR2 · pith_short_16: KX3BVBIE2WR2B46P · pith_short_8: KX3BVBIE

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/KX3BVBIE2WR2B46P47UQ3VXMVW \
  | 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: 55f61a8504d5a3a0f3cfe7e90dd6ecad8e7bdc61a2a8b2e738b0656a15eef025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabb52d252345353d03e02cb3f22f28c67a642230f43429d35198f2e83da9445",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-02-01T15:22:36Z",
    "title_canon_sha256": "d1c8afd36fc09a792bb512a3fd02872914c383c15a6198b973c53423a62ce72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0272",
    "kind": "arxiv",
    "version": 3
  }
}