Pith Number

pith:5G2CNXOM

pith:2012:5G2CNXOMOYYBQY7X2ET4KOBEUQ

not attested not anchored not stored refs pending

An exact duality theory for semidefinite programming based on sums of squares

Igor Klep, Markus Schweighofer

arxiv:1207.1691 v2 · 2012-07-06 · 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{5G2CNXOMOYYBQY7X2ET4KOBEUQ}

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	2026-05-18T00:17:30.937515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b426ddcc76301863f7d127c53824a41944ebfd56d84615cda65e79560c79f0

Aliases

arxiv: 1207.1691 · arxiv_version: 1207.1691v2 · doi: 10.48550/arxiv.1207.1691 · pith_short_12: 5G2CNXOMOYYB · pith_short_16: 5G2CNXOMOYYBQY7X · pith_short_8: 5G2CNXOM

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/5G2CNXOMOYYBQY7X2ET4KOBEUQ \
  | 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: e9b426ddcc76301863f7d127c53824a41944ebfd56d84615cda65e79560c79f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e896e785270cc326d07bd674f7bebf9110baedeed1b97c0a94ef2789fe92cfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-06T17:38:37Z",
    "title_canon_sha256": "5934f188e280541d4a37e7fb6e2d80ea41c76082f9919aea4b229d428f2fa23f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1691",
    "kind": "arxiv",
    "version": 2
  }
}