Pith Number

pith:M4GT5N6Y

pith:2023:M4GT5N6YIBYKVNRYGSOUSJXFGI

not attested not anchored not stored refs pending

The list-Ramsey threshold for families of graphs

Eden Kuperwasser, Wojciech Samotij

arxiv:2305.19964 v2 · 2023-05-31 · 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{M4GT5N6YIBYKVNRYGSOUSJXFGI}

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	2026-07-05T09:40:36.467430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670d3eb7d84070aab638349d4926e53212a8396bae52359d7769f906ea7d211e

Aliases

arxiv: 2305.19964 · arxiv_version: 2305.19964v2 · doi: 10.48550/arxiv.2305.19964 · pith_short_12: M4GT5N6YIBYK · pith_short_16: M4GT5N6YIBYKVNRY · pith_short_8: M4GT5N6Y

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/M4GT5N6YIBYKVNRYGSOUSJXFGI \
  | 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: 670d3eb7d84070aab638349d4926e53212a8396bae52359d7769f906ea7d211e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f2300bb07c1393671b7952c1a3d3b5ba37238c2f25aa68d78491fbc7a2cca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-31T15:52:13Z",
    "title_canon_sha256": "03bcbc2635424811a7f14531493c3739535ef7aff8fb3db50ee6429fabc269aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.19964",
    "kind": "arxiv",
    "version": 2
  }
}