Pith Number

pith:CF7VZNVJ

pith:2022:CF7VZNVJNXYOB3CBHPWHEOTUY3

not attested not anchored not stored refs pending

Ramsey numbers for multiple copies of sparse graphs

Aurelio Sulser, Milo\v{s} Truji\'c

arxiv:2212.02455 v1 · 2022-12-05 · 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{CF7VZNVJNXYOB3CBHPWHEOTUY3}

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	2026-07-05T05:22:24.608058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

117f5cb6a96df0e0ec413bec723a74c6c6e01c3a9735b7bbf9490c00c0b6ef0d

Aliases

arxiv: 2212.02455 · arxiv_version: 2212.02455v1 · doi: 10.48550/arxiv.2212.02455 · pith_short_12: CF7VZNVJNXYO · pith_short_16: CF7VZNVJNXYOB3CB · pith_short_8: CF7VZNVJ

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/CF7VZNVJNXYOB3CBHPWHEOTUY3 \
  | 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: 117f5cb6a96df0e0ec413bec723a74c6c6e01c3a9735b7bbf9490c00c0b6ef0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1edf262776f894c150b72b82cb525de3daa241e5f623eea9c346dda55e42c046",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-05T17:55:38Z",
    "title_canon_sha256": "bee6561dc8e41636ca8758bca14ccd1b830bbc3650da1777c82dbd0d014a6033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.02455",
    "kind": "arxiv",
    "version": 1
  }
}