Pith Number

pith:FYOV7HY6

pith:2015:FYOV7HY662OLKDJPKJPQAOU67T

not attested not anchored not stored refs pending

Replacing the host K_n by n-chromatic graphs in Ramsey-type results

Andras Gyarfas, Arie Bialostocki

arxiv:1506.04495 v1 · 2015-06-15 · 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{FYOV7HY662OLKDJPKJPQAOU67T}

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	2026-05-18T01:49:54.447557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e1d5f9f1ef69cb50d2f525f003a9efcfdadd689faeac30e519ad0a05d07b773

Aliases

arxiv: 1506.04495 · arxiv_version: 1506.04495v1 · doi: 10.48550/arxiv.1506.04495 · pith_short_12: FYOV7HY662OL · pith_short_16: FYOV7HY662OLKDJP · pith_short_8: FYOV7HY6

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/FYOV7HY662OLKDJPKJPQAOU67T \
  | 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: 2e1d5f9f1ef69cb50d2f525f003a9efcfdadd689faeac30e519ad0a05d07b773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa85a4b591a880693061effa62f5535cd0ff055eb48688b3b4939962dab6ea9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-15T07:32:44Z",
    "title_canon_sha256": "df06833b6c2e4a0921bbd4a6c50fb361af2295f08079ca93adf3f6fe3ea96096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04495",
    "kind": "arxiv",
    "version": 1
  }
}