Pith Number

pith:YPQAHLNU

pith:2023:YPQAHLNURADO73ZJE2NSZSJGUH

not attested not anchored not stored refs pending

Two-round Ramsey games on random graphs

Patrick Morris, Wojciech Samotij, Yahav Alon

arxiv:2305.02725 v2 · 2023-05-04 · 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{YPQAHLNURADO73ZJE2NSZSJGUH}

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	2026-06-23T03:13:42.444933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e003adb48806efef29269b2cc926a1fa16fb0f58ce87df951fe617190ca7e5

Aliases

arxiv: 2305.02725 · arxiv_version: 2305.02725v2 · doi: 10.48550/arxiv.2305.02725 · pith_short_12: YPQAHLNURADO · pith_short_16: YPQAHLNURADO73ZJ · pith_short_8: YPQAHLNU

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/YPQAHLNURADO73ZJE2NSZSJGUH \
  | 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: c3e003adb48806efef29269b2cc926a1fa16fb0f58ce87df951fe617190ca7e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70b7399bbd381014c8adae19ab0d0cd2a040c5ee2928210fc241459650ba9b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-04T10:46:48Z",
    "title_canon_sha256": "425844d5cd060ed811380eab2cb5e5a6ad057a8a8fe80afc489d319859b002af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.02725",
    "kind": "arxiv",
    "version": 2
  }
}