Pith Number

pith:4YTDSWD3

pith:2026:4YTDSWD33SNKJ5YBCWYFRNQLSQ

not attested not anchored not stored refs pending

Finding a stationary point of a stochastic convex problem

Felipe Areces, John Duchi, Malo Sommers

arxiv:2607.06883 v1 · 2026-07-08 · stat.ML · cs.LG · 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{4YTDSWD33SNKJ5YBCWYFRNQLSQ}

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	2026-07-09T00:19:38.562476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62639587bdc9aa4f70115b058b60b943bb899157d95fe458acf2e873c2fb8e3

Aliases

arxiv: 2607.06883 · arxiv_version: 2607.06883v1 · doi: 10.48550/arxiv.2607.06883 · pith_short_12: 4YTDSWD33SNK · pith_short_16: 4YTDSWD33SNKJ5YB · pith_short_8: 4YTDSWD3

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/4YTDSWD33SNKJ5YBCWYFRNQLSQ \
  | 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: e62639587bdc9aa4f70115b058b60b943bb899157d95fe458acf2e873c2fb8e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19380bf085782e200687c1cfa7c8b038075456dda6f14f4d8c431ec2d5e691b3",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-08T00:54:11Z",
    "title_canon_sha256": "7a44287945d44f141b3d1867f05f69b9e776c0db02dab580869990dcf94a3d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06883",
    "kind": "arxiv",
    "version": 1
  }
}