Pith Number

pith:EILWK7O2

pith:2008:EILWK7O27APIHROJYL5NQKZJZT

not attested not anchored not stored refs pending

Combinatorial representations of Coxeter groups over a field of two elements

Chih-wen Weng, Hau-wen Huang

arxiv:0804.2150 v2 · 2008-04-14 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EILWK7O27APIHROJYL5NQKZJZT}

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	2026-05-18T04:42:44.867522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2217657ddaf81e83c5c9c2fad82b29ccc8f3a348fffe552f7bd204de04ce3f33

Aliases

arxiv: 0804.2150 · arxiv_version: 0804.2150v2 · doi: 10.48550/arxiv.0804.2150 · pith_short_12: EILWK7O27API · pith_short_16: EILWK7O27APIHROJ · pith_short_8: EILWK7O2

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/EILWK7O27APIHROJYL5NQKZJZT \
  | 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: 2217657ddaf81e83c5c9c2fad82b29ccc8f3a348fffe552f7bd204de04ce3f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b77af24c9fe9c60089642e896cb20c048c3347b2777176aec021df8b9f87707",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-04-14T11:47:51Z",
    "title_canon_sha256": "d59ec12804b25514379620b487ee121512a7deb51099f7fdebd5a130d896fbf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2150",
    "kind": "arxiv",
    "version": 2
  }
}