Pith Number

pith:JXCCFRJB

pith:2026:JXCCFRJBWOK5ZF4IXLBKZEPV6R

not attested not anchored not stored refs pending

(MPO)$^2$: Multivariate Polynomial Optimization based on Matrix Product Operators

Anders Vestergaard N{\o}rskov, Michael Kastoryano, Morten M{\o}rup, Niccol\`o Ciolli, Petr Taborsky

arxiv:2607.15916 v1 · 2026-07-17 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXCCFRJBWOK5ZF4IXLBKZEPV6R}

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	2026-07-20T01:19:17.161348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc422c521b395dc9788bac2ac91f5f44b7fa873a68ba1dffd03665ad769c90a

Aliases

arxiv: 2607.15916 · arxiv_version: 2607.15916v1 · doi: 10.48550/arxiv.2607.15916 · pith_short_12: JXCCFRJBWOK5 · pith_short_16: JXCCFRJBWOK5ZF4I · pith_short_8: JXCCFRJB

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/JXCCFRJBWOK5ZF4IXLBKZEPV6R \
  | 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: 4dc422c521b395dc9788bac2ac91f5f44b7fa873a68ba1dffd03665ad769c90a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26a151c6629ee8bc3a253015208cf03d9776ae048176d77414e93c034278dec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-17T12:44:48Z",
    "title_canon_sha256": "06b45f124024269ed8365613107dd1b82f622be8c644c46ee3d21ee7a52bfbed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15916",
    "kind": "arxiv",
    "version": 1
  }
}