Pith Number

pith:C4ASMN4J

pith:2017:C4ASMN4JYU43EJLATAKZ6L2XGU

not attested not anchored not stored refs pending

On large groups of symmetries of finite graphs embedded in spheres

Bruno P. Zimmermann

arxiv:1706.05187 v1 · 2017-06-16 · math.GT · 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{C4ASMN4JYU43EJLATAKZ6L2XGU}

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	2026-05-18T00:42:14.506635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1701263789c539b2256098159f2f5735341961e259a6a30f44362821ffe53ae5

Aliases

arxiv: 1706.05187 · arxiv_version: 1706.05187v1 · doi: 10.48550/arxiv.1706.05187 · pith_short_12: C4ASMN4JYU43 · pith_short_16: C4ASMN4JYU43EJLA · pith_short_8: C4ASMN4J

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/C4ASMN4JYU43EJLATAKZ6L2XGU \
  | 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: 1701263789c539b2256098159f2f5735341961e259a6a30f44362821ffe53ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47959f08add4b4a2edbee3c6f9d4d23080ccccfe3410eb62b5d38a1f15d9e7c7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-16T09:03:45Z",
    "title_canon_sha256": "861eb6da5b0bfc3181e9db15716afc96d22810ceffaab96a6b04f618ef2a3279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05187",
    "kind": "arxiv",
    "version": 1
  }
}