Pith Number

pith:NDSMNUUN

pith:2013:NDSMNUUNNCCWDWBE22YORPQLBG

not attested not anchored not stored refs pending

Planar Ramsey Numbers of Four Cycles Versus Wheels

Chen Yaojun, Miao Zhengke, Zhou Guofei

arxiv:1304.6466 v1 · 2013-04-24 · 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{NDSMNUUNNCCWDWBE22YORPQLBG}

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	2026-05-18T03:27:13.034922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e4c6d28d688561d824d6b0e8be0b09a42111038e2a4997e179e034d2bec6e2

Aliases

arxiv: 1304.6466 · arxiv_version: 1304.6466v1 · doi: 10.48550/arxiv.1304.6466 · pith_short_12: NDSMNUUNNCCW · pith_short_16: NDSMNUUNNCCWDWBE · pith_short_8: NDSMNUUN

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/NDSMNUUNNCCWDWBE22YORPQLBG \
  | 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: 68e4c6d28d688561d824d6b0e8be0b09a42111038e2a4997e179e034d2bec6e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b920b8304427b12fa78100046e10823a842ffad9b21f05e56d09d0f25089a47c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-24T02:30:55Z",
    "title_canon_sha256": "13cdc3fe77b5d0ae79ca9a14f87ae52191407e9c04b20ddc9284e0e1616e136f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6466",
    "kind": "arxiv",
    "version": 1
  }
}