Pith Number

pith:33KB7CHX

pith:2011:33KB7CHXF7EMI5QAHKAO7WM2WH

not attested not anchored not stored refs pending

Reflection arrangements and ribbon representations

Alexander Miller

arxiv:1108.1429 v3 · 2011-08-06 · math.CO · math.GR · math.GT · 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{33KB7CHXF7EMI5QAHKAO7WM2WH}

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	2026-05-18T04:08:13.357366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded41f88f72fc8c476003a80efd99ab1e1238b8f0b3812f0d8ac0caa5b9cd6da

Aliases

arxiv: 1108.1429 · arxiv_version: 1108.1429v3 · doi: 10.48550/arxiv.1108.1429 · pith_short_12: 33KB7CHXF7EM · pith_short_16: 33KB7CHXF7EMI5QA · pith_short_8: 33KB7CHX

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/33KB7CHXF7EMI5QAHKAO7WM2WH \
  | 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: ded41f88f72fc8c476003a80efd99ab1e1238b8f0b3812f0d8ac0caa5b9cd6da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2514be33333cd9d4b037e0258ba0021a0ebf90b764b96d462db5accc91a60486",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-06T00:20:32Z",
    "title_canon_sha256": "90479c63cf8275c1e28a0249745c31fcda0a0ca3fe433a2bb8f89a1a787c3af0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1429",
    "kind": "arxiv",
    "version": 3
  }
}