Pith Number

pith:4WOIUEBX

pith:2019:4WOIUEBX7LALAIQX4D5JQVLFUM

not attested not anchored not stored refs pending

An Optimality Gap Test for a Semidefinite Relaxation of a Quadratic Program with Two Quadratic Constraints

Nuno C. Martins, Sheng Cheng

arxiv:1907.02989 v6 · 2019-07-05 · 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{4WOIUEBX7LALAIQX4D5JQVLFUM}

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	2026-07-05T02:23:55.701305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59c8a1037fac0b02217e0fa985565a3002b17dc0a073c4c5035036026949fb2

Aliases

arxiv: 1907.02989 · arxiv_version: 1907.02989v6 · doi: 10.48550/arxiv.1907.02989 · pith_short_12: 4WOIUEBX7LAL · pith_short_16: 4WOIUEBX7LALAIQX · pith_short_8: 4WOIUEBX

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/4WOIUEBX7LALAIQX4D5JQVLFUM \
  | 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: e59c8a1037fac0b02217e0fa985565a3002b17dc0a073c4c5035036026949fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dbb54798a57f854c36728ecfb1867287ebdc6746169dc6ab55fe03870c2e0cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-05T18:26:49Z",
    "title_canon_sha256": "ade82212fa19cffbb740eab0930ac50fdce0fab18c1b51a925f8b55773d23da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02989",
    "kind": "arxiv",
    "version": 6
  }
}