Pith Number

pith:QDVMIIWK

pith:2026:QDVMIIWKCD7GCVPRF2OB4LAORA

not attested not anchored not stored refs pending

Ramsey multiplicity for ordered graphs

Bing Wei, Mengya He, Qinghong Zhao, Yaping Mao

arxiv:2608.02299 v1 · 2026-08-03 · 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{QDVMIIWKCD7GCVPRF2OB4LAORA}

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	2026-08-04T02:11:45.979385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80eac422ca10fe6155f12e9c1e2c0e882c48568e72018eed0b4c9105ed6c3949

Aliases

arxiv: 2608.02299 · arxiv_version: 2608.02299v1 · doi: 10.48550/arxiv.2608.02299 · pith_short_12: QDVMIIWKCD7G · pith_short_16: QDVMIIWKCD7GCVPR · pith_short_8: QDVMIIWK

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/QDVMIIWKCD7GCVPRF2OB4LAORA \
  | 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: 80eac422ca10fe6155f12e9c1e2c0e882c48568e72018eed0b4c9105ed6c3949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cac1c9c8f356abd6f05c8e3276b7c458b061eaaad5c08e7a2624e39aaceab33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-03T14:25:23Z",
    "title_canon_sha256": "1ce2f4d55d8703959e7a479c9fe64f03f0f66af37868aacd2f0fd2493cf1acfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02299",
    "kind": "arxiv",
    "version": 1
  }
}