Pith Number

pith:UCY7OPUP

pith:2011:UCY7OPUPPBOGX7J7MN6LLFKZP2

not attested not anchored not stored refs pending

On fundamental domains and volumes of hyperbolic Coxeter-Weyl groups

Hermann Nicolai, Michael Koehn, Philipp Fleig

arxiv:1103.3175 v2 · 2011-03-16 · math.RT · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCY7OPUPPBOGX7J7MN6LLFKZP2}

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	2026-05-18T03:37:19.172990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b1f73e8f785c6bfd3f637cb595597ea709edc6bab383d6f5c24971e69109a9

Aliases

arxiv: 1103.3175 · arxiv_version: 1103.3175v2 · doi: 10.48550/arxiv.1103.3175 · pith_short_12: UCY7OPUPPBOG · pith_short_16: UCY7OPUPPBOGX7J7 · pith_short_8: UCY7OPUP

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/UCY7OPUPPBOGX7J7MN6LLFKZP2 \
  | 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: a0b1f73e8f785c6bfd3f637cb595597ea709edc6bab383d6f5c24971e69109a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57d53143e14cfd7216d8b2c1f508de84d10e18f9b069bca2825ce45958c013cb",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-03-16T13:58:07Z",
    "title_canon_sha256": "2dfd30c57c1fe88ed9a5eaab22c162ba77af969126167103ddbe94fe941ae344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3175",
    "kind": "arxiv",
    "version": 2
  }
}