Pith Number

pith:ZEOFRAVC

pith:2011:ZEOFRAVC32UZG5FUFACO3C24CK

not attested not anchored not stored refs pending

On a theorem of Lehrer and Zhang

Jun Hu, Zhankui Xiao

arxiv:1105.5287 v3 · 2011-05-26 · 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{ZEOFRAVC32UZG5FUFACO3C24CK}

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	2026-05-18T04:14:07.608364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91c5882a2dea99374b42804ed8b5c129fe2e40248004d99544a63c38298e602

Aliases

arxiv: 1105.5287 · arxiv_version: 1105.5287v3 · doi: 10.48550/arxiv.1105.5287 · pith_short_12: ZEOFRAVC32UZ · pith_short_16: ZEOFRAVC32UZG5FU · pith_short_8: ZEOFRAVC

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/ZEOFRAVC32UZG5FUFACO3C24CK \
  | 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: c91c5882a2dea99374b42804ed8b5c129fe2e40248004d99544a63c38298e602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1784a643dc21637790b55e16d6265e63a7ee1cd2284304b8d832aaaa8c96a38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-05-26T13:45:47Z",
    "title_canon_sha256": "7225fc08397547b495a422df9430f7bb42cc5d437c31d081f1bc8d7d4b247e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5287",
    "kind": "arxiv",
    "version": 3
  }
}