Pith Number

pith:5BRX623K

pith:2019:5BRX623K2EQ3LRSZWSIIWJSVHP

not attested not anchored not stored refs pending

Algorithms of Robust Stochastic Optimization Based on Mirror Descent Method

Alexander Nazin, Alexandre Tsybakov, Anatoli Juditsky (LJK), Arkadi Nemirovsky

arxiv:1907.02707 v1 · 2019-07-05 · math.ST · math.OC · 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{5BRX623K2EQ3LRSZWSIIWJSVHP}

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	2026-05-17T23:41:23.426892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8637f6b6ad121b5c659b4908b26553bebdc490423cf83e9b5970d9610e8f2d2

Aliases

arxiv: 1907.02707 · arxiv_version: 1907.02707v1 · doi: 10.48550/arxiv.1907.02707 · pith_short_12: 5BRX623K2EQ3 · pith_short_16: 5BRX623K2EQ3LRSZ · pith_short_8: 5BRX623K

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/5BRX623K2EQ3LRSZWSIIWJSVHP \
  | 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: e8637f6b6ad121b5c659b4908b26553bebdc490423cf83e9b5970d9610e8f2d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee7fdf92234a85874625ce1d193d49ae53074ad7513f016fe62604bbba23de1",
    "cross_cats_sorted": [
      "math.OC",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-07-05T07:33:05Z",
    "title_canon_sha256": "d943523932b32fc92693b2c0d7fa04c91d556d807cde30929e96ecff1dc75281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02707",
    "kind": "arxiv",
    "version": 1
  }
}