Pith Number

pith:6U22DUYW

pith:2014:6U22DUYW3TMDRNS43NRXTOVXVO

not attested not anchored not stored refs pending

Density of 5/2-critical graphs

Luke Postle, Zdenek Dvorak

arxiv:1411.6668 v1 · 2014-11-24 · 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{6U22DUYW3TMDRNS43NRXTOVXVO}

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	2026-05-18T02:32:52.713635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f535a1d316dcd838b65cdb6379bab7ab9018ad4b95f9d6e9cb59f2ffc60044ff

Aliases

arxiv: 1411.6668 · arxiv_version: 1411.6668v1 · doi: 10.48550/arxiv.1411.6668 · pith_short_12: 6U22DUYW3TMD · pith_short_16: 6U22DUYW3TMDRNS4 · pith_short_8: 6U22DUYW

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/6U22DUYW3TMDRNS43NRXTOVXVO \
  | 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: f535a1d316dcd838b65cdb6379bab7ab9018ad4b95f9d6e9cb59f2ffc60044ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3399bfeaebf07c529d40a18c3a87d160006943103f25961d72a97253963c26c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-24T22:13:31Z",
    "title_canon_sha256": "88afe46e365940822bba21e10e98c1c14a4c5967dd83c7f20340e188a54b731c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6668",
    "kind": "arxiv",
    "version": 1
  }
}