Pith Number

pith:CXX2V5KD

pith:2016:CXX2V5KDRJSAX3DLX47AZBUH74

not attested not anchored not stored refs pending

Chromatic number of ordered graphs with forbidden ordered subgraphs

Jonathan Rollin, Maria Axenovich, Torsten Ueckerdt

arxiv:1603.00312 v1 · 2016-03-01 · 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{CXX2V5KDRJSAX3DLX47AZBUH74}

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	2026-05-18T01:19:45.364211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15efaaf5438a640bec6bbf3e0c8687ff08d006be6b04c09a143524e05068aad2

Aliases

arxiv: 1603.00312 · arxiv_version: 1603.00312v1 · doi: 10.48550/arxiv.1603.00312 · pith_short_12: CXX2V5KDRJSA · pith_short_16: CXX2V5KDRJSAX3DL · pith_short_8: CXX2V5KD

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/CXX2V5KDRJSAX3DLX47AZBUH74 \
  | 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: 15efaaf5438a640bec6bbf3e0c8687ff08d006be6b04c09a143524e05068aad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ec2ef961de5aba3a7a6f7576a521dbb9a64c717f37b9b6668a157d18f21f789",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-01T15:14:20Z",
    "title_canon_sha256": "c4e270aa525bad03818e04a521f7eda76569da6ec674df6ea3370fbf0b66b851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00312",
    "kind": "arxiv",
    "version": 1
  }
}