Pith Number

pith:ZNNUJAW4

pith:2015:ZNNUJAW4GS4IEORREYZD7ORLOM

not attested not anchored not stored refs pending

Stochastic modified equations and adaptive stochastic gradient algorithms

Cheng Tai, Qianxiao Li, Weinan E

arxiv:1511.06251 v3 · 2015-11-19 · cs.LG · 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{ZNNUJAW4GS4IEORREYZD7ORLOM}

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

2 papers in Pith

Deep learning applied to computational mechanics: A comprehensive review, state of the art, and the classics

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability

Receipt and verification

First computed	2026-05-18T00:42:07.862549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5b4482dc34b8823a3126323fba2b730791ebe56645fb55e2116d05f7491c14

Aliases

arxiv: 1511.06251 · arxiv_version: 1511.06251v3 · doi: 10.48550/arxiv.1511.06251 · pith_short_12: ZNNUJAW4GS4I · pith_short_16: ZNNUJAW4GS4IEORR · pith_short_8: ZNNUJAW4

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/ZNNUJAW4GS4IEORREYZD7ORLOM \
  | 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: cb5b4482dc34b8823a3126323fba2b730791ebe56645fb55e2116d05f7491c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a09ff33c4c7c91ad1278660cbe1b20fcbc70a75db9a091b4a17ae2089dbea28",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-11-19T16:49:33Z",
    "title_canon_sha256": "f9a1c20f54c53b2c4365d5b38ca867a29c06df1bb062a436dcfdae8a11bb8e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06251",
    "kind": "arxiv",
    "version": 3
  }
}