Pith Number

pith:WZD4DZCH

pith:2026:WZD4DZCHI2FEVNECD5HPJKGWGV

not attested not anchored not stored refs pending

On the Ramsey classes of random hypergraphs

Dingyuan Liu

arxiv:2605.28472 v1 · 2026-05-27 · 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{WZD4DZCHI2FEVNECD5HPJKGWGV}

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	2026-05-28T02:04:53.986520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b647c1e447468a4ab4821f4ef4a8d63556adf684f1783a680941fa026e635b6e

Aliases

arxiv: 2605.28472 · arxiv_version: 2605.28472v1 · doi: 10.48550/arxiv.2605.28472 · pith_short_12: WZD4DZCHI2FE · pith_short_16: WZD4DZCHI2FEVNEC · pith_short_8: WZD4DZCH

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/WZD4DZCHI2FEVNECD5HPJKGWGV \
  | 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: b647c1e447468a4ab4821f4ef4a8d63556adf684f1783a680941fa026e635b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79126f23ff001172fb1699f2bb51b086fa66fc45a35b01de1e6f833fa41344a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T13:37:27Z",
    "title_canon_sha256": "136c516b5a091bc9d9935478ab7419dc324c996a88ddc0942a49433206f51aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28472",
    "kind": "arxiv",
    "version": 1
  }
}