Pith Number

pith:BHBRNONJ

pith:2011:BHBRNONJU7S5LEMMFIECY52CAM

not attested not anchored not stored refs pending

Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four

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

arxiv:1110.0120 v2 · 2011-10-01 · 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{BHBRNONJU7S5LEMMFIECY52CAM}

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	2026-05-18T03:53:20.290149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c316b9a9a7e5d5918c2a082c7742031491ba04c9d315fd02b7946caedd2978

Aliases

arxiv: 1110.0120 · arxiv_version: 1110.0120v2 · doi: 10.48550/arxiv.1110.0120 · pith_short_12: BHBRNONJU7S5 · pith_short_16: BHBRNONJU7S5LEMM · pith_short_8: BHBRNONJ

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/BHBRNONJU7S5LEMMFIECY52CAM \
  | 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: 09c316b9a9a7e5d5918c2a082c7742031491ba04c9d315fd02b7946caedd2978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d052dcaad6e10df793767cb84e56fb46e875351cd7b9215fb166bf0491fdb7",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-01T19:23:59Z",
    "title_canon_sha256": "f3dfdcedcddbb52e4841a9a325e6d0431b77817567fb190a453aab71eb343031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0120",
    "kind": "arxiv",
    "version": 2
  }
}