Pith Number

pith:PH7ZEJPG

pith:2011:PH7ZEJPGOYPA65Q22C5IJ62RRD

not attested not anchored not stored refs pending

A classification of graphs whose subdivision graphs are locally $G$-distance transitive

Alice Devillers, Ashraf Daneshkhah

arxiv:1103.5846 v1 · 2011-03-30 · 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{PH7ZEJPGOYPA65Q22C5IJ62RRD}

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	2026-05-18T04:25:27.404670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ff9225e6761e0f761ad0ba84fb5188ebd81102bcdb566145305e3518597b0a

Aliases

arxiv: 1103.5846 · arxiv_version: 1103.5846v1 · doi: 10.48550/arxiv.1103.5846 · pith_short_12: PH7ZEJPGOYPA · pith_short_16: PH7ZEJPGOYPA65Q2 · pith_short_8: PH7ZEJPG

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/PH7ZEJPGOYPA65Q22C5IJ62RRD \
  | 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: 79ff9225e6761e0f761ad0ba84fb5188ebd81102bcdb566145305e3518597b0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a3c3dae4325f5a0edf69596b87f99cb443ecb14e6012697405f717839adb31",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-30T08:12:52Z",
    "title_canon_sha256": "07aa9392556d9a83ef1fa9ba6978fc04dbb97147ed8725bd7dd9284bae39d61f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5846",
    "kind": "arxiv",
    "version": 1
  }
}