Pith Number

pith:EYMMNXOG

pith:2009:EYMMNXOGEHEQQU463WFO4LIG4O

not attested not anchored not stored refs pending

Upper bounds for the 2-hued chromatic number of graphs in terms of the independence number

Ali Dehghan, Arash Ahadi

arxiv:0911.4199 v5 · 2009-11-21 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EYMMNXOGEHEQQU463WFO4LIG4O}

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	2026-05-18T00:51:30.811561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2618c6ddc621c908539edd8aee2d06e3a4442966ede00abcd7cc7dc0bf356252

Aliases

arxiv: 0911.4199 · arxiv_version: 0911.4199v5 · doi: 10.48550/arxiv.0911.4199 · pith_short_12: EYMMNXOGEHEQ · pith_short_16: EYMMNXOGEHEQQU46 · pith_short_8: EYMMNXOG

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/EYMMNXOGEHEQQU463WFO4LIG4O \
  | 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: 2618c6ddc621c908539edd8aee2d06e3a4442966ede00abcd7cc7dc0bf356252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6001f59729ed1dc3a3023c4ff1ba499a9330e90dcc13cfcb7a9763bd25e799b3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-21T20:09:24Z",
    "title_canon_sha256": "bfadfbb036a33c986e7d99f1cdaa5200c1b766ff51c0789cc9de30d41390f1e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4199",
    "kind": "arxiv",
    "version": 5
  }
}