Pith Number

pith:XSFWNNZS

pith:2008:XSFWNNZSPGLATYTXMENRADBF5X

not attested not anchored not stored refs pending

A note on regular Ramsey graphs

Michael Krivelevich, Noga Alon, Sonny Ben-Shimon

arxiv:0812.2386 v2 · 2008-12-12 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSFWNNZSPGLATYTXMENRADBF5X}

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	2026-05-18T04:42:23.195048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8b66b732799609e277611b100c25ede117d72e6e67aa790c400e4ab2d7cc51

Aliases

arxiv: 0812.2386 · arxiv_version: 0812.2386v2 · doi: 10.48550/arxiv.0812.2386 · pith_short_12: XSFWNNZSPGLA · pith_short_16: XSFWNNZSPGLATYTX · pith_short_8: XSFWNNZS

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/XSFWNNZSPGLATYTXMENRADBF5X \
  | 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: bc8b66b732799609e277611b100c25ede117d72e6e67aa790c400e4ab2d7cc51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343f9de45f4b472b9efdcce08804a6f4ba16dea9eb23993825e43772e0113a15",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-12-12T14:40:47Z",
    "title_canon_sha256": "7054e58f58a3ff0a52a04f781a9b6969a1823ef14341569a06e3cb38ff9f027c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2386",
    "kind": "arxiv",
    "version": 2
  }
}