Pith Number

pith:7KMOEXGV

pith:2010:7KMOEXGV25MVXUBV32XET5C35O

not attested not anchored not stored refs pending

On distributed convex optimization under inequality and equality constraints via primal-dual subgradient methods

Minghui Zhu, Sonia Martinez

arxiv:1001.2612 v2 · 2010-01-15 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KMOEXGV25MVXUBV32XET5C35O}

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	2026-05-18T04:22:11.547779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa98e25cd5d7595bd035deae49f45beb90288d407980fea7091c065ed48e7194

Aliases

arxiv: 1001.2612 · arxiv_version: 1001.2612v2 · doi: 10.48550/arxiv.1001.2612 · pith_short_12: 7KMOEXGV25MV · pith_short_16: 7KMOEXGV25MVXUBV · pith_short_8: 7KMOEXGV

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/7KMOEXGV25MVXUBV32XET5C35O \
  | 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: fa98e25cd5d7595bd035deae49f45beb90288d407980fea7091c065ed48e7194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee500f56f5285fe509387e23bb18313298aa04d09aead3c2d76b84aea568a0a",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-01-15T05:12:48Z",
    "title_canon_sha256": "6535999c8c42aeebaf2214496d35a8825e577f84f60a8fe0f7d437897b09461a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2612",
    "kind": "arxiv",
    "version": 2
  }
}