Pith Number

pith:PONEVYH2

pith:2011:PONEVYH2K5X2QCPFXAJR2A7F7S

not attested not anchored not stored refs pending

List colorings of $K_5$-minor-free graphs with special list assignments

Anja Pruchnewski, Daniel W. Cranston, Margit Voigt, Zsolt Tuza

arxiv:1105.2532 v1 · 2011-05-12 · 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{PONEVYH2K5X2QCPFXAJR2A7F7S}

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	2026-05-18T03:41:02.584886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9a4ae0fa576fa809e5b8131d03e5fca6e17785186842355b26088615d777cb

Aliases

arxiv: 1105.2532 · arxiv_version: 1105.2532v1 · doi: 10.48550/arxiv.1105.2532 · pith_short_12: PONEVYH2K5X2 · pith_short_16: PONEVYH2K5X2QCPF · pith_short_8: PONEVYH2

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/PONEVYH2K5X2QCPFXAJR2A7F7S \
  | 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: 7b9a4ae0fa576fa809e5b8131d03e5fca6e17785186842355b26088615d777cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a0994eb2afbeea224104a3c6e3b621d02e582f95fdf1ac0ed6f5407e289a96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-12T17:14:57Z",
    "title_canon_sha256": "b43db65bc215a35dba93ab75b964be69ba808cbd8aa1cc8b4b3cbcf11c48f6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2532",
    "kind": "arxiv",
    "version": 1
  }
}