Pith Number

pith:6OV7G7WT

pith:2009:6OV7G7WTP2AQCSPEW7FYRXPJW6

not attested not anchored not stored refs pending

Twist-rigid Coxeter groups

Pierre-Emmanuel Caprace, Piotr Przytycki

arxiv:0911.0354 v1 · 2009-11-02 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OV7G7WTP2AQCSPEW7FYRXPJW6}

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	2026-05-18T02:38:18.751072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3abf37ed37e810149e4b7cb88dde9b78b2f588848b24a85785210663ab49942

Aliases

arxiv: 0911.0354 · arxiv_version: 0911.0354v1 · doi: 10.48550/arxiv.0911.0354 · pith_short_12: 6OV7G7WTP2AQ · pith_short_16: 6OV7G7WTP2AQCSPE · pith_short_8: 6OV7G7WT

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/6OV7G7WTP2AQCSPEW7FYRXPJW6 \
  | 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: f3abf37ed37e810149e4b7cb88dde9b78b2f588848b24a85785210663ab49942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "142d166dbf009016418940a61966c006853b469f2198d157cb87f4bd194a96cd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-11-02T16:44:29Z",
    "title_canon_sha256": "34b8d42cc2ebb4812a6e373cb0cc5cb9a6bc8fd18ed8b63057a543b056ffeaaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0354",
    "kind": "arxiv",
    "version": 1
  }
}