Pith Number

pith:IMRY73JM

pith:2009:IMRY73JMCPQH4E2JVE2HTQJKU2

not attested not anchored not stored refs pending

Fractional total colourings of graphs of high girth

Andrew King, Daniel Kral, Tomas Kaiser

arxiv:0911.2808 v2 · 2009-11-14 · 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{IMRY73JMCPQH4E2JVE2HTQJKU2}

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.

Cited by

1 paper in Pith

Coloring, List Coloring, and Painting Squares of Graphs (and other related problems)

Receipt and verification

First computed	2026-05-18T04:40:09.498438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43238fed2c13e07e1349a93479c12aa6aa9c70b2d05faa2aba9e32fef5938683

Aliases

arxiv: 0911.2808 · arxiv_version: 0911.2808v2 · doi: 10.48550/arxiv.0911.2808 · pith_short_12: IMRY73JMCPQH · pith_short_16: IMRY73JMCPQH4E2J · pith_short_8: IMRY73JM

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/IMRY73JMCPQH4E2JVE2HTQJKU2 \
  | 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: 43238fed2c13e07e1349a93479c12aa6aa9c70b2d05faa2aba9e32fef5938683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af74aec2250e6e2ee7fc60631a7e266b1caabae5fe059e9e076996ab3f87ccd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-14T21:21:17Z",
    "title_canon_sha256": "93e2255da452ebc9ae1e75131a58cd3f77a1232bb1d6c86a206aa88102f6ed77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2808",
    "kind": "arxiv",
    "version": 2
  }
}