Pith Number

pith:K3K3D2IT

pith:2026:K3K3D2ITZTHH337VPIHVP7ZHEN

not attested not anchored not stored refs pending

A Machine-Verified Proof of a Quantum-Optimization Conjecture

Dirk Englund, Kfir Sulimany, Maor Ben-Shahar, Uri Kol

arxiv:2606.29687 v1 · 2026-06-29 · quant-ph · cs.AI · cs.LG · cs.LO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3K3D2ITZTHH337VPIHVP7ZHEN}

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	2026-06-30T02:17:30.743612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d5b1e913ccce7deff57a0f57ff272347162ca8dbfc256d48a59c1a87a02559

Aliases

arxiv: 2606.29687 · arxiv_version: 2606.29687v1 · doi: 10.48550/arxiv.2606.29687 · pith_short_12: K3K3D2ITZTHH · pith_short_16: K3K3D2ITZTHH337V · pith_short_8: K3K3D2IT

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/K3K3D2ITZTHH337VPIHVP7ZHEN \
  | 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: 56d5b1e913ccce7deff57a0f57ff272347162ca8dbfc256d48a59c1a87a02559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed8d7339747b72614a02f98efadb4bb525593ce69f605e78d1ceb9a3bdf81f1f",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.LO",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-29T01:25:40Z",
    "title_canon_sha256": "9d9f2384eb223ddf7c31348250ec6ca3604a8f2c9a2513e245b1a3571f40488a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29687",
    "kind": "arxiv",
    "version": 1
  }
}