Pith Number

pith:5MPKVYGT

pith:2019:5MPKVYGTPTM7ZM7GNJ2VDVHIEI

not attested not anchored not stored refs pending

Exact Augmented Lagrangian Duality for Mixed Integer Quadratic Programming

Santanu S. Dey, Shabbir Ahmed, Xiaoyi Gu

arxiv:1907.00920 v1 · 2019-07-01 · 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{5MPKVYGTPTM7ZM7GNJ2VDVHIEI}

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	2026-05-17T23:41:47.617501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb1eaae0d37cd9fcb3e66a7551d4e82217fb2265edc97f9c14649705e3e3ddda

Aliases

arxiv: 1907.00920 · arxiv_version: 1907.00920v1 · doi: 10.48550/arxiv.1907.00920 · pith_short_12: 5MPKVYGTPTM7 · pith_short_16: 5MPKVYGTPTM7ZM7G · pith_short_8: 5MPKVYGT

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/5MPKVYGTPTM7ZM7GNJ2VDVHIEI \
  | 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: eb1eaae0d37cd9fcb3e66a7551d4e82217fb2265edc97f9c14649705e3e3ddda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6821655dbd16e4a707e081a83a76f4cf0bc30072651a29d2f1f5fa1e77a54e9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-01T16:47:45Z",
    "title_canon_sha256": "bec6541af788029b8f23e41062db44373adc9364ac45fc68a1d2528bb8170527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00920",
    "kind": "arxiv",
    "version": 1
  }
}