Pith Number

pith:IU3G3HLK

pith:2016:IU3G3HLKKRDPL4R2FQ5LWKIELY

not attested not anchored not stored refs pending

Online Ramsey Games for more than two colors

Andreas Noever

arxiv:1603.07570 v1 · 2016-03-24 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IU3G3HLKKRDPL4R2FQ5LWKIELY}

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	2026-05-18T01:18:20.522050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45366d9d6a5446f5f23a2c3abb29045e34e2b68e41c5e9f4348d047e4bf69678

Aliases

arxiv: 1603.07570 · arxiv_version: 1603.07570v1 · doi: 10.48550/arxiv.1603.07570 · pith_short_12: IU3G3HLKKRDP · pith_short_16: IU3G3HLKKRDPL4R2 · pith_short_8: IU3G3HLK

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/IU3G3HLKKRDPL4R2FQ5LWKIELY \
  | 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: 45366d9d6a5446f5f23a2c3abb29045e34e2b68e41c5e9f4348d047e4bf69678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6661494a629f5e630013e5ba5e1b6c347e1d7f9a4feda6fab66c753254ef325c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-24T13:51:35Z",
    "title_canon_sha256": "a3ac4a3e0405825144d35ef664afc65a4bf7235d7edd3d1fc10bdd304f290dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07570",
    "kind": "arxiv",
    "version": 1
  }
}