Pith Number

pith:M7FUUZN6

pith:2017:M7FUUZN6EPT33VB35NZUMHPMWD

not attested not anchored not stored refs pending

Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations

Arnulf Jentzen, Jiequn Han, Weinan E

arxiv:1706.04702 v1 · 2017-06-15 · math.NA · cs.LG · cs.NA · cs.NE · math.PR · 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{M7FUUZN6EPT33VB35NZUMHPMWD}

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	2026-06-04T18:10:55.716557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67cb4a65be23e7bdd43beb73461decb0db255ba4af1498da23365cbe52544ced

Aliases

arxiv: 1706.04702 · arxiv_version: 1706.04702v1 · doi: 10.48550/arxiv.1706.04702 · pith_short_12: M7FUUZN6EPT3 · pith_short_16: M7FUUZN6EPT33VB3 · pith_short_8: M7FUUZN6

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/M7FUUZN6EPT33VB35NZUMHPMWD \
  | 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: 67cb4a65be23e7bdd43beb73461decb0db255ba4af1498da23365cbe52544ced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53cf5b40ff30ef0dd4d37144d7d215e373eb8b1b55e05a6f293c921ed3c47b90",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "cs.NE",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-06-15T00:28:58Z",
    "title_canon_sha256": "0bbca4ab30e2c138aaf3c75cf3419f1b0826556fbf7b0f0f25f69bd5da35471d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04702",
    "kind": "arxiv",
    "version": 1
  }
}