Pith Number

pith:6D4AEW3A

pith:2018:6D4AEW3AOXJCXNBOPNZIDO4TIR

not attested not anchored not stored refs pending

Proportional Choosability: A New List Analogue of Equitable Coloring

Benjamin Reiniger, Hemanshu Kaul, Jeffrey A. Mudrock, Michael J. Pelsmajer

arxiv:1806.06966 v1 · 2018-06-18 · 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{6D4AEW3AOXJCXNBOPNZIDO4TIR}

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	2026-05-18T00:12:57.928402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f8025b6075d22bb42e7b7281bb9344537aa9ff0d20d270bb0d72d3b7a46187

Aliases

arxiv: 1806.06966 · arxiv_version: 1806.06966v1 · doi: 10.48550/arxiv.1806.06966 · pith_short_12: 6D4AEW3AOXJC · pith_short_16: 6D4AEW3AOXJCXNBO · pith_short_8: 6D4AEW3A

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/6D4AEW3AOXJCXNBOPNZIDO4TIR \
  | 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: f0f8025b6075d22bb42e7b7281bb9344537aa9ff0d20d270bb0d72d3b7a46187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a64ca700aae8693718bc689df420779bf269e001a6c8301828c8aa5479a1834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-18T22:10:24Z",
    "title_canon_sha256": "fbb07d79730750b3cf09200825dab09e8a34b65c00da5a2b124a67d0667d1ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06966",
    "kind": "arxiv",
    "version": 1
  }
}