Pith Number

pith:77364WVP

pith:2012:77364WVPLDCWCH5RSA3LKOQYGA

not attested not anchored not stored refs pending

Spin characters of generalized symmetric groups

Naihuan Jing, Xiaoli Hu

arxiv:1210.1629 v2 · 2012-10-05 · math.GR · 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{77364WVPLDCWCH5RSA3LKOQYGA}

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	2026-05-18T02:55:39.372128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fff7ee5aaf58c5611fb19036b53a183010b71732fca22a1caceca0c03b1a4b50

Aliases

arxiv: 1210.1629 · arxiv_version: 1210.1629v2 · doi: 10.48550/arxiv.1210.1629 · pith_short_12: 77364WVPLDCW · pith_short_16: 77364WVPLDCWCH5R · pith_short_8: 77364WVP

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/77364WVPLDCWCH5RSA3LKOQYGA \
  | 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: fff7ee5aaf58c5611fb19036b53a183010b71732fca22a1caceca0c03b1a4b50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "503a4f74880b44cb41c68cfd817f2a768a98cdf798e7695c321179ff4c2e5dde",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-05T02:32:04Z",
    "title_canon_sha256": "c526f97bcacda9e1395cd0994b4fff07dc9c080b1d30cd835ac06f9460c2abbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1629",
    "kind": "arxiv",
    "version": 2
  }
}