Pith Number

pith:JAUGSFJ5

pith:2011:JAUGSFJ5OBQJ42M4YAORXPU7UW

not attested not anchored not stored refs pending

The dominance hierarchy in root systems of Coxeter groups

Xiang Fu

arxiv:1108.2940 v2 · 2011-08-15 · 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{JAUGSFJ5OBQJ42M4YAORXPU7UW}

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	2026-05-18T03:49:22.258017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

482869153d70609e699cc01d1bbe9fa58d1b3207aa162c31999616de567c0310

Aliases

arxiv: 1108.2940 · arxiv_version: 1108.2940v2 · doi: 10.48550/arxiv.1108.2940 · pith_short_12: JAUGSFJ5OBQJ · pith_short_16: JAUGSFJ5OBQJ42M4 · pith_short_8: JAUGSFJ5

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/JAUGSFJ5OBQJ42M4YAORXPU7UW \
  | 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: 482869153d70609e699cc01d1bbe9fa58d1b3207aa162c31999616de567c0310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "372d9e620c3acaa3aecf23a8c56320ff097c3996b5be9cc361482798726a7840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-15T06:31:55Z",
    "title_canon_sha256": "74448075ba061413748e795438638a31c98624236c5b2016619599797e2d4f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2940",
    "kind": "arxiv",
    "version": 2
  }
}