Pith Number

pith:JMYOT3PK

pith:2010:JMYOT3PK3CQJQBOEL5EEQ5JKMX

not attested not anchored not stored refs pending

Cells in Coxeter groups I

Mikhail V. Belolipetsky, Paul E. Gunnells

arxiv:1012.0489 v4 · 2010-12-02 · math.RT · math.CO · 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{JMYOT3PK3CQJQBOEL5EEQ5JKMX}

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	2026-05-18T02:49:52.486920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b30e9edead8a09805c45f4848752a65dd46c9fa6fdb1de26d01c2172da1a957

Aliases

arxiv: 1012.0489 · arxiv_version: 1012.0489v4 · doi: 10.48550/arxiv.1012.0489 · pith_short_12: JMYOT3PK3CQJ · pith_short_16: JMYOT3PK3CQJQBOE · pith_short_8: JMYOT3PK

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/JMYOT3PK3CQJQBOEL5EEQ5JKMX \
  | 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: 4b30e9edead8a09805c45f4848752a65dd46c9fa6fdb1de26d01c2172da1a957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55228f181a6eeb526afc5d5bffafc3e2273f8b2dfb8626031345b9e9028d3073",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-02T16:49:52Z",
    "title_canon_sha256": "edd8b7cc6f7af7f9b78e8998a20a477e6a6d1b35935a50b21bdb6ba80fba08af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0489",
    "kind": "arxiv",
    "version": 4
  }
}