Pith Number

pith:EJZBGLGH

pith:2013:EJZBGLGHZ4ZUAK4MGCMZ2DYO5Z

not attested not anchored not stored refs pending

A short note on a short remark of Graham and Lov\'{a}sz

Jernej Azarija

arxiv:1303.4517 v2 · 2013-03-19 · 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{EJZBGLGHZ4ZUAK4MGCMZ2DYO5Z}

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	2026-05-18T03:11:57.649133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2272132cc7cf33402b8c30999d0f0eee60df4d92d5e939f52202cb48f068e5bf

Aliases

arxiv: 1303.4517 · arxiv_version: 1303.4517v2 · doi: 10.48550/arxiv.1303.4517 · pith_short_12: EJZBGLGHZ4ZU · pith_short_16: EJZBGLGHZ4ZUAK4M · pith_short_8: EJZBGLGH

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/EJZBGLGHZ4ZUAK4MGCMZ2DYO5Z \
  | 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: 2272132cc7cf33402b8c30999d0f0eee60df4d92d5e939f52202cb48f068e5bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f8c4ba6b4bc92cb8194b518387092e5a0e878d293cb45012745f18bc8867e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-19T09:14:08Z",
    "title_canon_sha256": "81234e7d7d600f9aa3f5edc82413df2156d63aa9c7ca51ce970f8bb652f9c985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4517",
    "kind": "arxiv",
    "version": 2
  }
}