Pith Number

pith:PZPMFT4M

pith:2018:PZPMFT4MNXATSGT5EKJZ3STW75

not attested not anchored not stored refs pending

Holomorphic quadratic differentials on graphs and the chromatic polynomial

Richard Kenyon, Wai Yeung Lam

arxiv:1803.00115 v1 · 2018-02-28 · 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{PZPMFT4MNXATSGT5EKJZ3STW75}

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	2026-05-18T00:22:13.307187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5ec2cf8c6dc1391a7d22939dca76ff44ab6790d6980e07e2b086af594c6dcc

Aliases

arxiv: 1803.00115 · arxiv_version: 1803.00115v1 · doi: 10.48550/arxiv.1803.00115 · pith_short_12: PZPMFT4MNXAT · pith_short_16: PZPMFT4MNXATSGT5 · pith_short_8: PZPMFT4M

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/PZPMFT4MNXATSGT5EKJZ3STW75 \
  | 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: 7e5ec2cf8c6dc1391a7d22939dca76ff44ab6790d6980e07e2b086af594c6dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0ded4b9ef6843ff0e16a3f43a956fbb4e2a17609b50ce84f01f1513d318403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-28T22:28:03Z",
    "title_canon_sha256": "386474c6bfb845fc07c8ec5e4e033ddbc8f1c170b853795dfd4e44e1ea7591e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00115",
    "kind": "arxiv",
    "version": 1
  }
}