Pith Number

pith:BTPI7EYC

pith:2009:BTPI7EYCXGOS3UCOATSTS4ACHX

not attested not anchored not stored refs pending

The biHecke monoid of a finite Coxeter group

Anne Schilling, Florent Hivert, Nicolas M. Thi\'ery

arxiv:0912.2212 v1 · 2009-12-11 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTPI7EYCXGOS3UCOATSTS4ACHX}

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	2026-05-18T04:30:03.856387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cde8f9302b99d2dd04e04e53970023dd9e8dd0b92d140e790caf754199d332a

Aliases

arxiv: 0912.2212 · arxiv_version: 0912.2212v1 · doi: 10.48550/arxiv.0912.2212 · pith_short_12: BTPI7EYCXGOS · pith_short_16: BTPI7EYCXGOS3UCO · pith_short_8: BTPI7EYC

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/BTPI7EYCXGOS3UCOATSTS4ACHX \
  | 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: 0cde8f9302b99d2dd04e04e53970023dd9e8dd0b92d140e790caf754199d332a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04784159309bc16c073818f46c2f581d2d1810c3391e9be8e1d2082dae1921b9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-12-11T12:33:11Z",
    "title_canon_sha256": "43bcad9fdf2319296f0ff6f430422130a8e1f38d5a577f83c96103a6858cf66f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2212",
    "kind": "arxiv",
    "version": 1
  }
}