Pith Number

pith:YDJT2ECY

pith:2026:YDJT2ECY62YLZPNA74NFY75YNN

not attested not anchored not stored refs pending

Partially-Commutative Polynomial Optimization

Abhishek Mishra, Mois\'es Bermejo Mor\'an, Stefano Pironio

arxiv:2607.08841 v1 · 2026-07-09 · quant-ph · 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{YDJT2ECY62YLZPNA74NFY75YNN}

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	2026-07-13T00:17:21.322944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d33d1058f6b0bcbda0ff1a5c7fb86b52b1c5dfa5c417ec71cb72f9e5ff9122

Aliases

arxiv: 2607.08841 · arxiv_version: 2607.08841v1 · doi: 10.48550/arxiv.2607.08841 · pith_short_12: YDJT2ECY62YL · pith_short_16: YDJT2ECY62YLZPNA · pith_short_8: YDJT2ECY

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/YDJT2ECY62YLZPNA74NFY75YNN \
  | 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: c0d33d1058f6b0bcbda0ff1a5c7fb86b52b1c5dfa5c417ec71cb72f9e5ff9122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60c1e883c80b402d2675e0470c870d936d1dd972a6bdcbddbd0c0474aec8220",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-09T18:01:42Z",
    "title_canon_sha256": "997ef4bcbbf2d62d0861f3c7514a561fffe6650188418ac0cb57f5f817b9e44e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08841",
    "kind": "arxiv",
    "version": 1
  }
}