Pith Number

pith:QHKX2SHY

pith:2017:QHKX2SHYNAEHPTQJVFT5SDNDNM

not attested not anchored not stored refs pending

Classifying Character Degree Graphs With 6 Vertices

Jacob Laubacher, Mark L. Lewis, Mark W. Bissler

arxiv:1709.09278 v3 · 2017-09-26 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHKX2SHYNAEHPTQJVFT5SDNDNM}

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	2026-05-18T00:07:50.533304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81d57d48f8680877ce09a967d90da36b1aa3b0cbbc8d782f193c2075592c7892

Aliases

arxiv: 1709.09278 · arxiv_version: 1709.09278v3 · doi: 10.48550/arxiv.1709.09278 · pith_short_12: QHKX2SHYNAEH · pith_short_16: QHKX2SHYNAEHPTQJ · pith_short_8: QHKX2SHY

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/QHKX2SHYNAEHPTQJVFT5SDNDNM \
  | 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: 81d57d48f8680877ce09a967d90da36b1aa3b0cbbc8d782f193c2075592c7892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4719e35833d8716613312affd2f089768513d21738e7d5196ab77813b2caa4a3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-26T22:40:57Z",
    "title_canon_sha256": "3a3f50dda11d651a48f9a7b6686a598c5d1b845b8af2829a33c3cf93f36ba534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09278",
    "kind": "arxiv",
    "version": 3
  }
}