Pith Number

pith:CVUBKQQX

pith:2014:CVUBKQQX3U2FX4CW5TTFFMRW5D

not attested not anchored not stored refs pending

The game chromatic number of trees and forests

Charles Dunn, Dustin Toci, Kira Lindke, Troy Retter, Victor Larsen

arxiv:1410.5223 v1 · 2014-10-20 · 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{CVUBKQQX3U2FX4CW5TTFFMRW5D}

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	2026-05-18T02:39:46.563844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1568154217dd345bf056ece652b236e8f47dc35f11b86e8d817097243a733c3b

Aliases

arxiv: 1410.5223 · arxiv_version: 1410.5223v1 · doi: 10.48550/arxiv.1410.5223 · pith_short_12: CVUBKQQX3U2F · pith_short_16: CVUBKQQX3U2FX4CW · pith_short_8: CVUBKQQX

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/CVUBKQQX3U2FX4CW5TTFFMRW5D \
  | 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: 1568154217dd345bf056ece652b236e8f47dc35f11b86e8d817097243a733c3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c5b2a9d923e646b8308d548cc8d166bbc1a32d010d57419564a20bee397ea16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-20T10:36:48Z",
    "title_canon_sha256": "b73165e85140125aa1d3616dd6bbdb9fd14f360accae60e54e43b39b644956fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5223",
    "kind": "arxiv",
    "version": 1
  }
}