Pith Number

pith:WXXCUODS

pith:2016:WXXCUODSFDQIIK6QZ3MVFTS7KD

not attested not anchored not stored refs pending

Combining SOS and Moment Relaxations with Branch and Bound to Extract Solutions to Global Polynomial Optimization Problems

Hesameddin Mohammadi, Matthew M. Peet

arxiv:1609.01019 v2 · 2016-09-05 · 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{WXXCUODSFDQIIK6QZ3MVFTS7KD}

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	2026-05-18T00:45:58.645829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ee2a387228e0842bd0ced952ce5f50e0740cc8a71f7f898343155e595c4c9d

Aliases

arxiv: 1609.01019 · arxiv_version: 1609.01019v2 · doi: 10.48550/arxiv.1609.01019 · pith_short_12: WXXCUODSFDQI · pith_short_16: WXXCUODSFDQIIK6Q · pith_short_8: WXXCUODS

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/WXXCUODSFDQIIK6QZ3MVFTS7KD \
  | 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: b5ee2a387228e0842bd0ced952ce5f50e0740cc8a71f7f898343155e595c4c9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5407dbcf657bd6886e469472867404648a738f3e11b54931dedff69fd68f17df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-05T02:32:54Z",
    "title_canon_sha256": "5a4c8068e412da82080ddb813300fb3ec667be340d1128a532939b79029713b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01019",
    "kind": "arxiv",
    "version": 2
  }
}