Pith Number

pith:RE2D7EVC

pith:2010:RE2D7EVCDWUXOEQM7JKYSI7DMW

not attested not anchored not stored refs pending

Complete graphs whose topological symmetry groups are polyhedral

Blake Mellor, Erica Flapan, Ramin Naimi

arxiv:1008.1095 v3 · 2010-08-05 · 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{RE2D7EVCDWUXOEQM7JKYSI7DMW}

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	2026-05-18T02:41:50.796380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89343f92a21da977120cfa558923e365a9bcd95237af138717b65e2738abb0dd

Aliases

arxiv: 1008.1095 · arxiv_version: 1008.1095v3 · doi: 10.48550/arxiv.1008.1095 · pith_short_12: RE2D7EVCDWUX · pith_short_16: RE2D7EVCDWUXOEQM · pith_short_8: RE2D7EVC

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/RE2D7EVCDWUXOEQM7JKYSI7DMW \
  | 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: 89343f92a21da977120cfa558923e365a9bcd95237af138717b65e2738abb0dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885b5c12ff9ddae2eef155b7cc344e622326f91fd22b7fb19d3ff72f4a35ee85",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-05T22:06:55Z",
    "title_canon_sha256": "4b483e3f2888c0a876575dc1cfc1e8ea87495736df75b6c91f2b730e0dad27d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1095",
    "kind": "arxiv",
    "version": 3
  }
}