Pith Number

pith:DGX765PI

pith:2011:DGX765PI6OGPIANTAQIHJEQIMX

not attested not anchored not stored refs pending

Distributed Stochastic Approximation for Constrained and Unconstrained Optimization

J\'er\'emie Jakubowicz, Pascal Bianchi

arxiv:1104.2773 v2 · 2011-04-14 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGX765PI6OGPIANTAQIHJEQIMX}

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	2026-05-18T04:23:55.976161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19afff75e8f38cf401b3041074920865f5c87ed513ce19599c9cac8ed7f24839

Aliases

arxiv: 1104.2773 · arxiv_version: 1104.2773v2 · doi: 10.48550/arxiv.1104.2773 · pith_short_12: DGX765PI6OGP · pith_short_16: DGX765PI6OGPIANT · pith_short_8: DGX765PI

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/DGX765PI6OGPIANTAQIHJEQIMX \
  | 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: 19afff75e8f38cf401b3041074920865f5c87ed513ce19599c9cac8ed7f24839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c9e57306e39eca3bf80036699319a83faaece7522eb60f29b38143c96d74f7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-04-14T14:20:11Z",
    "title_canon_sha256": "f5f00a070c467ae4f6854e8b7455ab29c5e104d96a117396e3055e9d1edc4666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2773",
    "kind": "arxiv",
    "version": 2
  }
}