Pith Number

pith:4AZ2N2ZA

pith:2011:4AZ2N2ZA7N5HXCEYG4O5PYSEON

not attested not anchored not stored refs pending

Some new results in extremal graph theory

Vladimir Nikiforov

arxiv:1107.1121 v1 · 2011-07-06 · 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{4AZ2N2ZA7N5HXCEYG4O5PYSEON}

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	2026-05-18T04:18:45.556411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e033a6eb20fb7a7b8898371dd7e244734fa845e0c51a5d094c33a6cefa9fc793

Aliases

arxiv: 1107.1121 · arxiv_version: 1107.1121v1 · doi: 10.48550/arxiv.1107.1121 · pith_short_12: 4AZ2N2ZA7N5H · pith_short_16: 4AZ2N2ZA7N5HXCEY · pith_short_8: 4AZ2N2ZA

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/4AZ2N2ZA7N5HXCEYG4O5PYSEON \
  | 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: e033a6eb20fb7a7b8898371dd7e244734fa845e0c51a5d094c33a6cefa9fc793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0dc62e4ef57b76e7a53fcce27b1d433713433d0d3cab572a223f2c807fa892",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-06T13:05:09Z",
    "title_canon_sha256": "b49533eb4fa7b4fc8ae5a0aec2380617b2a111016a08c4273ee908bb863f9d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1121",
    "kind": "arxiv",
    "version": 1
  }
}