Pith Number

pith:WMUHTHSJ

pith:2013:WMUHTHSJ76A5IU5RMZ6MQAEAZV

not attested not anchored not stored refs pending

Algorithms and topology for Cayley graphs of groups

Derek Holt, Mark Brittenham, Susan Hermiller

arxiv:1307.4981 v1 · 2013-07-18 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMUHTHSJ76A5IU5RMZ6MQAEAZV}

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	2026-05-18T03:18:07.015014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b328799e49ff81d453b1667cc80080cd615b2538d9a1aab9cdcc36745307fe74

Aliases

arxiv: 1307.4981 · arxiv_version: 1307.4981v1 · doi: 10.48550/arxiv.1307.4981 · pith_short_12: WMUHTHSJ76A5 · pith_short_16: WMUHTHSJ76A5IU5R · pith_short_8: WMUHTHSJ

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/WMUHTHSJ76A5IU5RMZ6MQAEAZV \
  | 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: b328799e49ff81d453b1667cc80080cd615b2538d9a1aab9cdcc36745307fe74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73fa0255bf9f671055ec9fb84150c46f1c022c506a45aedd62efdea64d9bd005",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-18T15:29:48Z",
    "title_canon_sha256": "4ff3b9e284466a756c9b27aaf65f3f83d177a0b65420892447f76e98512cd917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4981",
    "kind": "arxiv",
    "version": 1
  }
}