Pith Number

pith:VXHPRK37

pith:2023:VXHPRK37MWXMT7DV4QM7B6JSCI

not attested not anchored not stored refs pending

A real moment-HSOS hierarchy for complex polynomial optimization with real coefficients

Jie Wang, Victor Magron

arxiv:2308.14631 v3 · 2023-08-28 · 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{VXHPRK37MWXMT7DV4QM7B6JSCI}

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.

Cited by

1 paper in Pith

A more efficient reformulation of complex SDP as real SDP

Receipt and verification

First computed	2026-07-05T07:48:48.045675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adcef8ab7f65aec9fc75e419f0f9321237b9ce55aef524144183ee265a98090a

Aliases

arxiv: 2308.14631 · arxiv_version: 2308.14631v3 · doi: 10.48550/arxiv.2308.14631 · pith_short_12: VXHPRK37MWXM · pith_short_16: VXHPRK37MWXMT7DV · pith_short_8: VXHPRK37

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/VXHPRK37MWXMT7DV4QM7B6JSCI \
  | 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: adcef8ab7f65aec9fc75e419f0f9321237b9ce55aef524144183ee265a98090a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eab505afa7e249f1fa70add8c32f48c2866871dfd8bbaa7600820159b720309",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-08-28T14:54:20Z",
    "title_canon_sha256": "47c76b98d9fdb549ced57f8a4007df13d4c57371c8d70af0e7f63ae4f409881a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.14631",
    "kind": "arxiv",
    "version": 3
  }
}