Pith Number

pith:E2QHXBJD

pith:2012:E2QHXBJDAZ2RYAEB2A7S42MWQ7

not attested not anchored not stored refs pending

Convergence of SDP hierarchies for polynomial optimization on the hypersphere

Andrew C. Doherty, Stephanie Wehner

arxiv:1210.5048 v2 · 2012-10-18 · math.OC · cs.DS · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2QHXBJDAZ2RYAEB2A7S42MWQ7}

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	2026-05-18T03:20:09.542001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a07b852306751c0081d03f2e699687fae7a7bbc433d8b0c21264d60f8962bb

Aliases

arxiv: 1210.5048 · arxiv_version: 1210.5048v2 · doi: 10.48550/arxiv.1210.5048 · pith_short_12: E2QHXBJDAZ2R · pith_short_16: E2QHXBJDAZ2RYAEB · pith_short_8: E2QHXBJD

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/E2QHXBJDAZ2RYAEB2A7S42MWQ7 \
  | 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: 26a07b852306751c0081d03f2e699687fae7a7bbc433d8b0c21264d60f8962bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66bb6951b651181867d2b0cd62a483565d79db30a194c467e4f1755385eaf12",
    "cross_cats_sorted": [
      "cs.DS",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-18T08:07:03Z",
    "title_canon_sha256": "100d738860cb5c80cda25998121aa770cc8a959337c2f1a753f4103ddd409601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5048",
    "kind": "arxiv",
    "version": 2
  }
}