Pith Number

pith:4TTKCE34

pith:2011:4TTKCE34UOMVGEC5UDE6LV6DGT

not attested not anchored not stored refs pending

Zero-Gradient-Sum Algorithms for Distributed Convex Optimization: The Continuous-Time Case

Choon Yik Tang, Jie Lu

arxiv:1104.5422 v3 · 2011-04-28 · cs.SY · cs.DC · 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{4TTKCE34UOMVGEC5UDE6LV6DGT}

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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	2026-05-18T04:12:19.237020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e6a1137ca39953105da0c9e5d7c334cf2250a33ca57466f283ac463482132f

Aliases

arxiv: 1104.5422 · arxiv_version: 1104.5422v3 · doi: 10.48550/arxiv.1104.5422 · pith_short_12: 4TTKCE34UOMV · pith_short_16: 4TTKCE34UOMVGEC5 · pith_short_8: 4TTKCE34

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/4TTKCE34UOMVGEC5UDE6LV6DGT \
  | 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: e4e6a1137ca39953105da0c9e5d7c334cf2250a33ca57466f283ac463482132f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6433b66ffaad95970d1bc3299e2efa42a6ca013d2662c21de05393beada46c85",
    "cross_cats_sorted": [
      "cs.DC",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2011-04-28T15:22:24Z",
    "title_canon_sha256": "8ba03d5889775a34a246f1953ef6d5504f1fb3788907bc836205a6f5c493e73a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5422",
    "kind": "arxiv",
    "version": 3
  }
}