Pith Number

pith:3KXSEYMR

pith:2019:3KXSEYMRJYYKIOY6U6VE6HLQXK

not attested not anchored not stored refs pending

Hat chromatic number of graphs

Andrzej Dudek, Bart{\l}omiej Bosek, Jaros{\l}aw Grytczuk, Micha{\l} Farnik, Przemys{\l}aw Mazur

arxiv:1905.04108 v1 · 2019-05-10 · 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{3KXSEYMRJYYKIOY6U6VE6HLQXK}

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	2026-05-17T23:46:34.527600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daaf2261914e30a43b1ea7aa4f1d70baa27da051742f302ab046b6665bfba904

Aliases

arxiv: 1905.04108 · arxiv_version: 1905.04108v1 · doi: 10.48550/arxiv.1905.04108 · pith_short_12: 3KXSEYMRJYYK · pith_short_16: 3KXSEYMRJYYKIOY6 · pith_short_8: 3KXSEYMR

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/3KXSEYMRJYYKIOY6U6VE6HLQXK \
  | 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: daaf2261914e30a43b1ea7aa4f1d70baa27da051742f302ab046b6665bfba904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf5018a709b5b2c1a772bf400f9adef5316c8dfa1c63470322bad0d0bb4dca6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-10T12:24:36Z",
    "title_canon_sha256": "ffb155b03265cce9402393bc16abf4ae9733f489eb510e1e3ab7e9bc82772ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04108",
    "kind": "arxiv",
    "version": 1
  }
}