Pith Number

pith:TSR3SX5E

pith:1998:TSR3SX5EJ2Q7D73KU4GIUCID2Q

not attested not anchored not stored refs pending

Universal construction of W_{p,q} algebras

J. Avan, L. Frappat, M. Rossi, P. Sorba

arxiv:math/9807048 v1 · 1998-07-09 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSR3SX5EJ2Q7D73KU4GIUCID2Q}

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	2026-07-04T16:10:10.152634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca3b95fa44ea1f1ff6aa70c8a0903d42240a57c6a8771a2a13d06c766536865

Aliases

arxiv: math/9807048 · arxiv_version: math/9807048v1 · doi: 10.48550/arxiv.math/9807048 · pith_short_12: TSR3SX5EJ2Q7 · pith_short_16: TSR3SX5EJ2Q7D73K · pith_short_8: TSR3SX5E

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/TSR3SX5EJ2Q7D73KU4GIUCID2Q \
  | 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: 9ca3b95fa44ea1f1ff6aa70c8a0903d42240a57c6a8771a2a13d06c766536865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0111d774fc80998a3aacc8a2d2886672e4573a229a68ce878f2225401c0a9988",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1998-07-09T16:06:53Z",
    "title_canon_sha256": "e051fbc46811762818e29f12049fba5d015ea90e5218941f983130537153675b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9807048",
    "kind": "arxiv",
    "version": 1
  }
}