Pith Number

pith:6DWGMNVD

pith:2022:6DWGMNVDYZE3QFIIN263F66FS3

not attested not anchored not stored refs pending

Connected size Ramsey numbers of matchings versus a small path or cycle

Ruyu Song, Sha Wang, Yanbo Zhang, Yixin Zhang

arxiv:2205.03965 v1 · 2022-05-08 · 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{6DWGMNVDYZE3QFIIN263F66FS3}

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	2026-07-05T04:21:19.994388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ec6636a3c649b815086ebdb2fbc596e1331171095266109e3fdcb4ebf3b288

Aliases

arxiv: 2205.03965 · arxiv_version: 2205.03965v1 · doi: 10.48550/arxiv.2205.03965 · pith_short_12: 6DWGMNVDYZE3 · pith_short_16: 6DWGMNVDYZE3QFII · pith_short_8: 6DWGMNVD

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/6DWGMNVDYZE3QFIIN263F66FS3 \
  | 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: f0ec6636a3c649b815086ebdb2fbc596e1331171095266109e3fdcb4ebf3b288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f98d3ffc4e4e0006e34de4e0ae90b23ceaeedf005299ea6eb216da904a27ece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-05-08T22:48:00Z",
    "title_canon_sha256": "db4841d0e6c4d9d4ba21cce28e77cfa7d6254db7675b40e00a1548c5ad0cb116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.03965",
    "kind": "arxiv",
    "version": 1
  }
}