Pith Number

pith:VYHGTYOB

pith:2013:VYHGTYOB3TJCJ6YRKZBQH7C65N

not attested not anchored not stored refs pending

Quartic graphs with every edge in a triangle

Florian Pfender, Gordon F. Royle

arxiv:1308.0081 v1 · 2013-08-01 · 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{VYHGTYOB3TJCJ6YRKZBQH7C65N}

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	2026-05-18T03:17:00.655154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0e69e1c1dcd224fb11564303fc5eeb6c8b23aaaa6ec478f7de08e9effb0307

Aliases

arxiv: 1308.0081 · arxiv_version: 1308.0081v1 · doi: 10.48550/arxiv.1308.0081 · pith_short_12: VYHGTYOB3TJC · pith_short_16: VYHGTYOB3TJCJ6YR · pith_short_8: VYHGTYOB

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/VYHGTYOB3TJCJ6YRKZBQH7C65N \
  | 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: ae0e69e1c1dcd224fb11564303fc5eeb6c8b23aaaa6ec478f7de08e9effb0307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff023343b288c4b57b830075bdebccd13b71ae2edc202b19410b20cd0b19151e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-01T02:20:34Z",
    "title_canon_sha256": "121faa8db2744e269dd920ca8bdbc228299f1893b05ecf7981fa5c8a8d194f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0081",
    "kind": "arxiv",
    "version": 1
  }
}