Pith Number

pith:P4IFNQXZ

pith:2011:P4IFNQXZX2YZ2LCG2OLRRXOJ42

not attested not anchored not stored refs pending

Combining Lagrangian Decomposition and Excessive Gap Smoothing Technique for Solving Large-Scale Separable Convex Optimization Problems

Carlo Savorgnan, Moritz Diehl, Tran Dinh Quoc

arxiv:1105.5427 v3 · 2011-05-26 · 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{P4IFNQXZX2YZ2LCG2OLRRXOJ42}

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	2026-05-18T04:07:19.598197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1056c2f9beb19d2c46d39718ddc9e6a0a576e3d76538f902e22793dbddfd83

Aliases

arxiv: 1105.5427 · arxiv_version: 1105.5427v3 · doi: 10.48550/arxiv.1105.5427 · pith_short_12: P4IFNQXZX2YZ · pith_short_16: P4IFNQXZX2YZ2LCG · pith_short_8: P4IFNQXZ

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/P4IFNQXZX2YZ2LCG2OLRRXOJ42 \
  | 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: 7f1056c2f9beb19d2c46d39718ddc9e6a0a576e3d76538f902e22793dbddfd83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "609b70724b0d4a3d7b3421882624c4d3874925b37915e9a2c0e276ee4a214841",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-05-26T23:42:01Z",
    "title_canon_sha256": "447872d4dc1c63e31bf7007f3e6dca35f46c5895ebda430ede244957b2a9bbba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5427",
    "kind": "arxiv",
    "version": 3
  }
}