Pith Number

pith:ZCB3TJZG

pith:2016:ZCB3TJZG7TGIDUXFGCLGLXYH2X

not attested not anchored not stored refs pending

Algorithms for stochastic optimization with functional or expectation constraints

Guanghui Lan, Zhiqiang Zhou

arxiv:1604.03887 v8 · 2016-04-13 · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCB3TJZG7TGIDUXFGCLGLXYH2X}

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.

Cited by

1 paper in Pith

Inexact Proximal-Point Penalty Methods for Constrained Non-Convex Optimization

Receipt and verification

First computed	2026-07-05T01:39:39.905732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c883b9a726fccc81d2e5309665df07d5fa6a5690e1f2361de963a55680f88d51

Aliases

arxiv: 1604.03887 · arxiv_version: 1604.03887v8 · doi: 10.48550/arxiv.1604.03887 · pith_short_12: ZCB3TJZG7TGI · pith_short_16: ZCB3TJZG7TGIDUXF · pith_short_8: ZCB3TJZG

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/ZCB3TJZG7TGIDUXFGCLGLXYH2X \
  | 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: c883b9a726fccc81d2e5309665df07d5fa6a5690e1f2361de963a55680f88d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91385845e7a0a2020a2661b2847df1ba2e1be0eb9f1e23c760bfc7aec77b02ef",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-13T17:49:30Z",
    "title_canon_sha256": "2ea0de4fd2aed846446b30be13f1f64745a2d592407affa8b21d33611a07d107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03887",
    "kind": "arxiv",
    "version": 8
  }
}