Pith Number

pith:CECLBUKD

pith:2012:CECLBUKDPHAJJKHMLCUU4L2CMA

not attested not anchored not stored refs pending

Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six

Gerhard Roehrle, Goetz Pfeiffer, J. Matthew Douglass, Marcus Bishop

arxiv:1201.4775 v3 · 2012-01-23 · math.RT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CECLBUKDPHAJJKHMLCUU4L2CMA}

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	2026-05-18T03:31:32.893284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1104b0d14379c094a8ec58a94e2f42601e112980e0ffb3f03aa0a3fe6ca3472e

Aliases

arxiv: 1201.4775 · arxiv_version: 1201.4775v3 · doi: 10.48550/arxiv.1201.4775 · pith_short_12: CECLBUKDPHAJ · pith_short_16: CECLBUKDPHAJJKHM · pith_short_8: CECLBUKD

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/CECLBUKDPHAJJKHMLCUU4L2CMA \
  | 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: 1104b0d14379c094a8ec58a94e2f42601e112980e0ffb3f03aa0a3fe6ca3472e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689d72572dc28d7d585a8aecdb15aa536a64345f702abfabd83564ba53a48179",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-23T17:20:41Z",
    "title_canon_sha256": "058db929122a64a9e81b05577bed9fd509e3f45d22f5ad43b6f4af617601d700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4775",
    "kind": "arxiv",
    "version": 3
  }
}