Pith Number

pith:74UGH5IZ

pith:2019:74UGH5IZD2ZCTUT66LHT4CAMBY

not attested not anchored not stored refs pending

On the Convergence of Stochastic Gradient Descent for Nonlinear Ill-Posed Problems

Bangti Jin, Jun Zou, Zehui Zhou

arxiv:1907.03132 v1 · 2019-07-06 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{74UGH5IZD2ZCTUT66LHT4CAMBY}

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	2026-05-17T23:41:18.849644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff2863f5191eb229d27ef2cf3e080c0e0250c30f2323248c11f48ba714bb5aea

Aliases

arxiv: 1907.03132 · arxiv_version: 1907.03132v1 · doi: 10.48550/arxiv.1907.03132 · pith_short_12: 74UGH5IZD2ZC · pith_short_16: 74UGH5IZD2ZCTUT6 · pith_short_8: 74UGH5IZ

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/74UGH5IZD2ZCTUT66LHT4CAMBY \
  | 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: ff2863f5191eb229d27ef2cf3e080c0e0250c30f2323248c11f48ba714bb5aea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ce52121e9698f3c0658fd19d47b663a140220cc33f2f2aeae457a06a11c0b4",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-06T14:30:26Z",
    "title_canon_sha256": "3399c208107d2e169319eba456a644c5b39a76e0cb3a3e3b94cc0ac07a50d868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03132",
    "kind": "arxiv",
    "version": 1
  }
}