pith. sign in
Pith Number

pith:Y2ZGY4K5

pith:2016:Y2ZGY4K5QTA7QRLJ4FKC4XSSR3
not attested not anchored not stored refs pending

Completely positive semidefinite rank

Antonios Varvitsiotis, Anupam Prakash, Jamie Sikora, Zhaohui Wei

arxiv:1604.07199 v1 · 2016-04-25 · math.OC · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y2ZGY4K5QTA7QRLJ4FKC4XSSR3}

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 2026-05-17T23:54:27.116558Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c6b26c715d84c1f84569e1542e5e528eedff792e32352c9a170dfa66a6229ffd

Aliases

arxiv: 1604.07199 · arxiv_version: 1604.07199v1 · doi: 10.48550/arxiv.1604.07199 · pith_short_12: Y2ZGY4K5QTA7 · pith_short_16: Y2ZGY4K5QTA7QRLJ · pith_short_8: Y2ZGY4K5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y2ZGY4K5QTA7QRLJ4FKC4XSSR3 \
  | 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: c6b26c715d84c1f84569e1542e5e528eedff792e32352c9a170dfa66a6229ffd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4f5bfadfd8e4845b0b71ae14f70fa1aec2112ec0471d65e8103a46f95081eea8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-25T10:57:58Z",
    "title_canon_sha256": "021ea20c81ef35b6bae5381273aa4528a621cb6b1b4f0eeab8d9800e9a96d35a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07199",
    "kind": "arxiv",
    "version": 1
  }
}