Pith Number

pith:77HRPHIB

pith:2016:77HRPHIBY5DBQXITMZ5VVD3V5U

not attested not anchored not stored refs pending

Completely positive and completely positive semidefinite tensor relaxations for polynomial optimization

Luis F. Zuluaga, Xiaolong Kuang

arxiv:1604.06823 v2 · 2016-04-22 · 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{77HRPHIBY5DBQXITMZ5VVD3V5U}

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	2026-05-18T00:07:44.049672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffcf179d01c746185d13667b5a8f75ed091a9643b3d52d49717216c44fba902c

Aliases

arxiv: 1604.06823 · arxiv_version: 1604.06823v2 · doi: 10.48550/arxiv.1604.06823 · pith_short_12: 77HRPHIBY5DB · pith_short_16: 77HRPHIBY5DBQXIT · pith_short_8: 77HRPHIB

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/77HRPHIBY5DBQXITMZ5VVD3V5U \
  | 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: ffcf179d01c746185d13667b5a8f75ed091a9643b3d52d49717216c44fba902c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c3a1eedb23e80a1d77a0ee05c9b03cd470d65b3c3bf08cefd0b79639a6baf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-22T21:31:45Z",
    "title_canon_sha256": "16b75bb344074ff5ac78ae7b62201fb148d2420fe63794667d7209100f4b1f95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06823",
    "kind": "arxiv",
    "version": 2
  }
}