Pith Number

pith:FJR73EPQ

pith:2013:FJR73EPQZIEIZOCGK5ZMOVNMOH

not attested not anchored not stored refs pending

Unavoidable vertex-minors in large prime graphs

O-joung Kwon, Sang-il Oum

arxiv:1306.3066 v2 · 2013-06-13 · 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{FJR73EPQZIEIZOCGK5ZMOVNMOH}

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	2026-05-18T02:53:30.213214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a63fd91f0ca088cb8465772c755ac71e293b5cf016e516beadc5a0dead725ab

Aliases

arxiv: 1306.3066 · arxiv_version: 1306.3066v2 · doi: 10.48550/arxiv.1306.3066 · pith_short_12: FJR73EPQZIEI · pith_short_16: FJR73EPQZIEIZOCG · pith_short_8: FJR73EPQ

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/FJR73EPQZIEIZOCGK5ZMOVNMOH \
  | 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: 2a63fd91f0ca088cb8465772c755ac71e293b5cf016e516beadc5a0dead725ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532f20127711dd07e83b76afcd9e18e943706ada9bc63cea48fea5ca13793b13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-13T10:08:41Z",
    "title_canon_sha256": "7cac2730f5bf03c4ebc25b4671b6c1d1a8d020d6f6dde6fac4ca95103250d897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3066",
    "kind": "arxiv",
    "version": 2
  }
}