Pith Number

pith:CRNUZVA3

pith:2011:CRNUZVA3CWFVQJSJBX67KPJIHB

not attested not anchored not stored refs pending

Asymptotics of generalized Galois numbers via affine Kac-Moody algebras

Stavros Kousidis

arxiv:1109.2546 v2 · 2011-09-12 · 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{CRNUZVA3CWFVQJSJBX67KPJIHB}

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	2026-05-18T03:01:11.513955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145b4cd41b158b5826490dfdf53d283854a284560d720e274a95a94fba95c53b

Aliases

arxiv: 1109.2546 · arxiv_version: 1109.2546v2 · doi: 10.48550/arxiv.1109.2546 · pith_short_12: CRNUZVA3CWFV · pith_short_16: CRNUZVA3CWFVQJSJ · pith_short_8: CRNUZVA3

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/CRNUZVA3CWFVQJSJBX67KPJIHB \
  | 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: 145b4cd41b158b5826490dfdf53d283854a284560d720e274a95a94fba95c53b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b2aeb609648c60d2f24bf08485e2e7bf132d41cb1be6ba6fedad519e448ae1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-09-12T17:42:42Z",
    "title_canon_sha256": "234b5afc0bd22362fc671d93bad72261017c03078ad7a015c2470ec0358e9ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2546",
    "kind": "arxiv",
    "version": 2
  }
}