Pith Number

pith:AVJ56K3B

pith:2026:AVJ56K3BXBJEXWJMTYSX4TA45K

not attested not anchored not stored refs pending

Sharper Ramsey lower bounds from refined Gaussian estimates

Lin Niu, Qizhong Lin

arxiv:2605.25843 v1 · 2026-05-25 · 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{AVJ56K3BXBJEXWJMTYSX4TA45K}

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	2026-05-26T02:05:14.871264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0553df2b61b8524bd92c9e257e4c1cea82315a7adfbbecd6a73798dc25ae861a

Aliases

arxiv: 2605.25843 · arxiv_version: 2605.25843v1 · doi: 10.48550/arxiv.2605.25843 · pith_short_12: AVJ56K3BXBJE · pith_short_16: AVJ56K3BXBJEXWJM · pith_short_8: AVJ56K3B

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/AVJ56K3BXBJEXWJMTYSX4TA45K \
  | 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: 0553df2b61b8524bd92c9e257e4c1cea82315a7adfbbecd6a73798dc25ae861a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562eec5588ca0e5fb80f61bb7d7aafa35ffd8ea0c6a6c95fddf265460d58b392",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-25T13:37:26Z",
    "title_canon_sha256": "7aae16146dc6c44b0f20eb156cafce66a890a4108e373e0432d42527c1c29317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25843",
    "kind": "arxiv",
    "version": 1
  }
}