Pith Number

pith:MPDCMAK2

pith:2008:MPDCMAK2CISMDVAWM7IE23ORHW

not attested not anchored not stored refs pending

Maximizing the number of q-colorings

Benny Sudakov, Oleg Pikhurko, Po-Shen Loh

arxiv:0811.2625 v3 · 2008-11-17 · 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{MPDCMAK2CISMDVAWM7IE23ORHW}

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	2026-05-18T02:24:56.809096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c626015a1224c1d41667d04d6dd13da138fe644c96618ee17be04c84b1aaf1

Aliases

arxiv: 0811.2625 · arxiv_version: 0811.2625v3 · doi: 10.48550/arxiv.0811.2625 · pith_short_12: MPDCMAK2CISM · pith_short_16: MPDCMAK2CISMDVAW · pith_short_8: MPDCMAK2

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/MPDCMAK2CISMDVAWM7IE23ORHW \
  | 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: 63c626015a1224c1d41667d04d6dd13da138fe644c96618ee17be04c84b1aaf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4cae991a339fed30c6f890a3f1625860547b96a7a021ab8e5163d69b1f590b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-11-17T04:57:04Z",
    "title_canon_sha256": "ee85510c6059a1f4a25eeb83d5f46527c19b262bb1b954fec4c90b4d02d20ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2625",
    "kind": "arxiv",
    "version": 3
  }
}