Pith Number

pith:GP7XUYYP

pith:2008:GP7XUYYPQCQXGSCD5XZ7WXZ3Q2

not attested not anchored not stored refs pending

Solving variational inequalities with Stochastic Mirror-Prox algorithm

Anatoli Juditsky (LJK), Arkadii S. Nemirovskii (ISyE), Claire Tauvel (LJK)

arxiv:0809.0815 v2 · 2008-09-04 · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GP7XUYYPQCQXGSCD5XZ7WXZ3Q2}

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	2026-05-18T04:21:00.795524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ff7a630f80a1734843edf3fb5f3b869b7642b7c3d08ecada38633805d90585

Aliases

arxiv: 0809.0815 · arxiv_version: 0809.0815v2 · doi: 10.48550/arxiv.0809.0815 · pith_short_12: GP7XUYYPQCQX · pith_short_16: GP7XUYYPQCQXGSCD · pith_short_8: GP7XUYYP

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/GP7XUYYPQCQXGSCD5XZ7WXZ3Q2 \
  | 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: 33ff7a630f80a1734843edf3fb5f3b869b7642b7c3d08ecada38633805d90585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe2871be06ad3e98653b3af5f77832ff9aaa3a2f2adc37ce5276785c3fc2951a",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2008-09-04T13:48:58Z",
    "title_canon_sha256": "076eeb8069cd5f07ed6a9dc9365d164ac5905b75ef91e49c07adb90612c75fdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0815",
    "kind": "arxiv",
    "version": 2
  }
}