Pith Number

pith:RUWBPUHJ

pith:2010:RUWBPUHJUUPL2FE6LFUBEBZNZW

not attested not anchored not stored refs pending

Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups

Bruce Kleiner, Marc Bourdon

arxiv:1002.1991 v2 · 2010-02-09 · math.GR · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUWBPUHJUUPL2FE6LFUBEBZNZW}

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	2026-05-18T04:23:11.758366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d2c17d0e9a51ebd149e596812072dcdbb610b9424864d956235851de60dda69

Aliases

arxiv: 1002.1991 · arxiv_version: 1002.1991v2 · doi: 10.48550/arxiv.1002.1991 · pith_short_12: RUWBPUHJUUPL · pith_short_16: RUWBPUHJUUPL2FE6 · pith_short_8: RUWBPUHJ

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/RUWBPUHJUUPL2FE6LFUBEBZNZW \
  | 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: 8d2c17d0e9a51ebd149e596812072dcdbb610b9424864d956235851de60dda69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b71ea13aae13802a8e9adb57829832a5ffa56232ae9eaa6d2dde482ceee93dc",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-02-09T22:16:09Z",
    "title_canon_sha256": "8b0e29a76fc2b23b614f00c0d61fcac80fd4f9299f76129f3c625cbbae4a4410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1991",
    "kind": "arxiv",
    "version": 2
  }
}