Pith Number

pith:WVU2A3JN

pith:2018:WVU2A3JNKF4FTZPWPD5QRST4VT

not attested not anchored not stored refs pending

Action of Weyl group on zero weight space

Bruno Le Floch, Ilia Smilga

arxiv:1806.00347 v2 · 2018-06-01 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVU2A3JNKF4FTZPWPD5QRST4VT}

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	2026-07-04T23:59:27.672907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b569a06d2d517859e5f678fb08ca7cacf407003894a6999a38fab8a69b449984

Aliases

arxiv: 1806.00347 · arxiv_version: 1806.00347v2 · doi: 10.48550/arxiv.1806.00347 · pith_short_12: WVU2A3JNKF4F · pith_short_16: WVU2A3JNKF4FTZPW · pith_short_8: WVU2A3JN

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/WVU2A3JNKF4FTZPWPD5QRST4VT \
  | 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: b569a06d2d517859e5f678fb08ca7cacf407003894a6999a38fab8a69b449984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d22cc43a3190b85f020d6834a8ed66484e59a09e90a5db3f7a6bcf5efd6d39",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-06-01T13:54:24Z",
    "title_canon_sha256": "9e54164cae0e2883675f86644d58c99040f8e0dd297abf9e2bd22332461293e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00347",
    "kind": "arxiv",
    "version": 2
  }
}