Pith Number

pith:YSWSQUOW

pith:2018:YSWSQUOWOW2QWPOLCABLOULJGI

not attested not anchored not stored refs pending

Maximum average degree and relaxed coloring

Gexin Yu, Michael Kopreski

arxiv:1806.07021 v1 · 2018-06-19 · 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{YSWSQUOWOW2QWPOLCABLOULJGI}

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	2026-05-18T00:12:57.698577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ad2851d675b50b3dcb1002b75169322994e94b63b761af4b64942f6405d6e0

Aliases

arxiv: 1806.07021 · arxiv_version: 1806.07021v1 · doi: 10.48550/arxiv.1806.07021 · pith_short_12: YSWSQUOWOW2Q · pith_short_16: YSWSQUOWOW2QWPOL · pith_short_8: YSWSQUOW

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/YSWSQUOWOW2QWPOLCABLOULJGI \
  | 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: c4ad2851d675b50b3dcb1002b75169322994e94b63b761af4b64942f6405d6e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a706a745d2b4f0cd27c8b4bcd6dc0ede9b0d2e58f5fe9e91b070dc11b028f6a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-19T02:39:00Z",
    "title_canon_sha256": "d09fc39643f0bb20e623acfa2708ad390fcffaacd210fb51995a0a52833b7b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07021",
    "kind": "arxiv",
    "version": 1
  }
}