Pith Number

pith:WD7LFTSR

pith:2026:WD7LFTSRAB76QGW6SVELU5YNCB

not attested not anchored not stored refs pending

Book Ramsey numbers via algebraic constructions

Lulu Dai, Qizhong Lin

arxiv:2606.07214 v1 · 2026-06-05 · 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{WD7LFTSRAB76QGW6SVELU5YNCB}

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	2026-06-08T01:04:53.672588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0feb2ce51007fe81ade9548ba770d105fa6355985d30050a0665104a1f0a94d

Aliases

arxiv: 2606.07214 · arxiv_version: 2606.07214v1 · doi: 10.48550/arxiv.2606.07214 · pith_short_12: WD7LFTSRAB76 · pith_short_16: WD7LFTSRAB76QGW6 · pith_short_8: WD7LFTSR

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/WD7LFTSRAB76QGW6SVELU5YNCB \
  | 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: b0feb2ce51007fe81ade9548ba770d105fa6355985d30050a0665104a1f0a94d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24e4cf5b79249983605a05ffcae901a95a8c62233490b065066cac9d35926f91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-05T12:26:22Z",
    "title_canon_sha256": "3e5c443963773ea76f0c32859de51f23fc470f7bea3f07a6edcff0e329583045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07214",
    "kind": "arxiv",
    "version": 1
  }
}