Pith Number

pith:V35Q4FJU

pith:2026:V35Q4FJUC3S5KWZZR4BTNBFSY6

not attested not anchored not stored refs pending

Counterexample to a conjecture on the pairwise independent correlation gap using AI

Arjun Ramachandra, Karthik Natarajan

arxiv:2606.19663 v1 · 2026-06-18 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V35Q4FJUC3S5KWZZR4BTNBFSY6}

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	2026-06-19T16:12:31.602186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aefb0e153416e5d55b398f033684b2c7950700e96e86fcc65c4713830267ab2d

Aliases

arxiv: 2606.19663 · arxiv_version: 2606.19663v1 · doi: 10.48550/arxiv.2606.19663 · pith_short_12: V35Q4FJUC3S5 · pith_short_16: V35Q4FJUC3S5KWZZ · pith_short_8: V35Q4FJU

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/V35Q4FJUC3S5KWZZR4BTNBFSY6 \
  | 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: aefb0e153416e5d55b398f033684b2c7950700e96e86fcc65c4713830267ab2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7a4e4608311f9acfc8cff4e48d75d324aab2e535790350a15bdbc14bd41a00",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-18T00:18:43Z",
    "title_canon_sha256": "133156cc6e78366b40412b05cd21229301a94760ef76694a56f3cb2b1eafbc7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19663",
    "kind": "arxiv",
    "version": 1
  }
}