Pith Number

pith:CU4PLLDR

pith:2026:CU4PLLDRGCYKL55UVQ2TNPNNMM

not attested not anchored not stored refs pending

The Grothendieck Constant is Less Than $\frac{\pi}{2 \log (1+ \sqrt{2})} - 10^{-5}$

Adam Klivans, Alan Li, Anton Xue, Pravesh K Kothari, Raghu Meka, Rahul Saha, Swarat Chaudhury

arxiv:2606.03991 v1 · 2026-06-02 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU4PLLDRGCYKL55UVQ2TNPNNMM}

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	2026-06-03T02:06:08.944912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1538f5ac7130b0a5f7b4ac3536bdad63145410d6cf20e742c14981442d6e0ab2

Aliases

arxiv: 2606.03991 · arxiv_version: 2606.03991v1 · doi: 10.48550/arxiv.2606.03991 · pith_short_12: CU4PLLDRGCYK · pith_short_16: CU4PLLDRGCYKL55U · pith_short_8: CU4PLLDR

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/CU4PLLDRGCYKL55UVQ2TNPNNMM \
  | 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: 1538f5ac7130b0a5f7b4ac3536bdad63145410d6cf20e742c14981442d6e0ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a2d2064795d99d310ce45c9a08005799fdff956175bfbf294ffbc91b99f75fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-02T17:59:53Z",
    "title_canon_sha256": "d33a3662cad17b66ed75d21abf9f38e3ddc58e502750060f8f59514bfbe8dd39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03991",
    "kind": "arxiv",
    "version": 1
  }
}