Pith Number

pith:ZLVGPIKZ

pith:2012:ZLVGPIKZLUV4VPIXPUWX2PWYKS

not attested not anchored not stored refs pending

On supersolvable reflection arrangements

Gerhard Roehrle, Torsten Hoge

arxiv:1209.1919 v3 · 2012-09-10 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLVGPIKZLUV4VPIXPUWX2PWYKS}

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	2026-05-18T03:26:41.179458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caea67a1595d2bcabd177d2d7d3ed854b53e8e5fa3736f001d5af4d436f3e735

Aliases

arxiv: 1209.1919 · arxiv_version: 1209.1919v3 · doi: 10.48550/arxiv.1209.1919 · pith_short_12: ZLVGPIKZLUV4 · pith_short_16: ZLVGPIKZLUV4VPIX · pith_short_8: ZLVGPIKZ

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/ZLVGPIKZLUV4VPIXPUWX2PWYKS \
  | 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: caea67a1595d2bcabd177d2d7d3ed854b53e8e5fa3736f001d5af4d436f3e735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c36fca12e62f64fcd01ecdf4299657f55d5be2ee7947a1650f996f6e8ffe75f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-10T09:36:50Z",
    "title_canon_sha256": "82842d53a13246d20ae84c0336f99f1cb9ab2a3ba5471abb9d1f85731822eddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1919",
    "kind": "arxiv",
    "version": 3
  }
}