Pith Number

pith:BK3T3QRE

pith:2015:BK3T3QRE2NM4E74ZXOC3H6ABUN

not attested not anchored not stored refs pending

Randomized Block Subgradient Methods for Convex Nonsmooth and Stochastic Optimization

Anand Rangarajan, Guanghui Lan, Qi Deng

arxiv:1509.04609 v1 · 2015-09-15 · 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{BK3T3QRE2NM4E74ZXOC3H6ABUN}

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	2026-05-18T01:32:58.409512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab73dc224d359c27f99bb85b3f801a3577d5c9c60fced6aa3b769c431bf646d

Aliases

arxiv: 1509.04609 · arxiv_version: 1509.04609v1 · doi: 10.48550/arxiv.1509.04609 · pith_short_12: BK3T3QRE2NM4 · pith_short_16: BK3T3QRE2NM4E74Z · pith_short_8: BK3T3QRE

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/BK3T3QRE2NM4E74ZXOC3H6ABUN \
  | 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: 0ab73dc224d359c27f99bb85b3f801a3577d5c9c60fced6aa3b769c431bf646d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91b050bf4356c2a369ae56103880634adcb53a1dd2cefcc27a062845891d9d1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-15T15:50:31Z",
    "title_canon_sha256": "28cff32996f20a7c9e89fdd9acdf313277432289b1215670670dabc9d8cd2f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04609",
    "kind": "arxiv",
    "version": 1
  }
}