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Pith Number

pith:JQZNDCNZ

pith:2013:JQZNDCNZT45Z4PIHJ2T3P5JOWU
not attested not anchored not stored refs pending

Equivariant semidefinite lifts and sum-of-squares hierarchies

Hamza Fawzi, James Saunderson, Pablo A. Parrilo

arxiv:1312.6662 v3 · 2013-12-23 · math.OC · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JQZNDCNZT45Z4PIHJ2T3P5JOWU}

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 2026-05-18T01:23:38.980365Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4c32d189b99f3b9e3d074ea7b7f52eb50105591185eafa6ad1797ed43beda03a

Aliases

arxiv: 1312.6662 · arxiv_version: 1312.6662v3 · doi: 10.48550/arxiv.1312.6662 · pith_short_12: JQZNDCNZT45Z · pith_short_16: JQZNDCNZT45Z4PIH · pith_short_8: JQZNDCNZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JQZNDCNZT45Z4PIHJ2T3P5JOWU \
  | 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: 4c32d189b99f3b9e3d074ea7b7f52eb50105591185eafa6ad1797ed43beda03a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a141965405e085f5b8068783c04122fba46a0935ddb484392bcf611522688546",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-23T20:13:36Z",
    "title_canon_sha256": "6b08298acc0972e9d623eb3890381237e3aef6ace7e6af7fa435156ace056d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6662",
    "kind": "arxiv",
    "version": 3
  }
}