Pith Number

pith:CBI62YTT

pith:2014:CBI62YTTIXRZ2LZRIHRMPAUFRH

not attested not anchored not stored refs pending

The game chromatic number of dense random graphs

Angelika Steger (Institute of Theoretical Computer Science, ETH Zurich), Ralph Keusch

arxiv:1406.7126 v1 · 2014-06-27 · 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{CBI62YTTIXRZ2LZRIHRMPAUFRH}

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	2026-05-18T02:48:54.035291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1051ed627345e39d2f3141e2c7828589c7f3dae1e46ee538f7bcadf267eb7b48

Aliases

arxiv: 1406.7126 · arxiv_version: 1406.7126v1 · doi: 10.48550/arxiv.1406.7126 · pith_short_12: CBI62YTTIXRZ · pith_short_16: CBI62YTTIXRZ2LZR · pith_short_8: CBI62YTT

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/CBI62YTTIXRZ2LZRIHRMPAUFRH \
  | 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: 1051ed627345e39d2f3141e2c7828589c7f3dae1e46ee538f7bcadf267eb7b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0dcf4c4d03a7455e3af86a6af2eb9cdfbe95ef3e47469a54c0a415c323ea80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-27T09:39:18Z",
    "title_canon_sha256": "fbe1fbd117022d0866f54d50845ccebad49740c87544bab6a8793c26a520f59a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7126",
    "kind": "arxiv",
    "version": 1
  }
}