Pith Number

pith:ZCZNGHYO

pith:2019:ZCZNGHYO3NTOE65FBUW3S3WC3X

not attested not anchored not stored refs pending

Anti-Ramsey numbers of graphs with some decomposition family sequences

Long-tu Yuan, Xiao-Dong Zhang

arxiv:1903.10319 v1 · 2019-03-25 · 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{ZCZNGHYO3NTOE65FBUW3S3WC3X}

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	2026-05-17T23:50:29.856994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b2d31f0edb66e27ba50d2db96ec2ddcebab90ed8c2883543e2a50182fc8060

Aliases

arxiv: 1903.10319 · arxiv_version: 1903.10319v1 · doi: 10.48550/arxiv.1903.10319 · pith_short_12: ZCZNGHYO3NTO · pith_short_16: ZCZNGHYO3NTOE65F · pith_short_8: ZCZNGHYO

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/ZCZNGHYO3NTOE65FBUW3S3WC3X \
  | 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: c8b2d31f0edb66e27ba50d2db96ec2ddcebab90ed8c2883543e2a50182fc8060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e59ceabcb28e9f3ff64fd9949a4fcbeed8976e79c5346ee2f75d3c7a16bde66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-25T13:46:22Z",
    "title_canon_sha256": "07153db4f18cf23f52ee7b10c85dae878eb6a64cbc7d1863ebe097b1822c9094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10319",
    "kind": "arxiv",
    "version": 1
  }
}