Pith Number

pith:6JWRUNI2

pith:2011:6JWRUNI2BLJ4CHID7KLUI5I6QQ

not attested not anchored not stored refs pending

Kazhdan--Lusztig cells and the Frobenius--Schur indicator

Meinolf Geck

arxiv:1110.5672 v2 · 2011-10-25 · 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{6JWRUNI2BLJ4CHID7KLUI5I6QQ}

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	2026-05-18T04:06:07.511586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f26d1a351a0ad3c11d03fa9744751e840846346bb94da5f1e01081984adec8a8

Aliases

arxiv: 1110.5672 · arxiv_version: 1110.5672v2 · doi: 10.48550/arxiv.1110.5672 · pith_short_12: 6JWRUNI2BLJ4 · pith_short_16: 6JWRUNI2BLJ4CHID · pith_short_8: 6JWRUNI2

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/6JWRUNI2BLJ4CHID7KLUI5I6QQ \
  | 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: f26d1a351a0ad3c11d03fa9744751e840846346bb94da5f1e01081984adec8a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d44a3ff7e495aa8b35b8b8239fb8d7b127e6fac5732b0402226925f57e47043a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-25T21:47:00Z",
    "title_canon_sha256": "8f9b5e163d3c2881ba1a1a2ba3396ffef6dd55b7ace537ed6c1570f797f64ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5672",
    "kind": "arxiv",
    "version": 2
  }
}