Pith Number

pith:KPZL6ZYN

pith:2017:KPZL6ZYNYALGPMIINUWJT4WPU6

not attested not anchored not stored refs pending

Asymptotic Expansion as Prior Knowledge in Deep Learning Method for high dimensional BSDEs

Akihiko Takahashi, Masaaki Fujii, Masayuki Takahashi

arxiv:1710.07030 v3 · 2017-10-19 · q-fin.CP · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPZL6ZYNYALGPMIINUWJT4WPU6}

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	2026-05-17T23:52:08.312138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53f2bf670dc01667b1086d2c99f2cfa7939db6db8875fe45be585ef4ca970201

Aliases

arxiv: 1710.07030 · arxiv_version: 1710.07030v3 · doi: 10.48550/arxiv.1710.07030 · pith_short_12: KPZL6ZYNYALG · pith_short_16: KPZL6ZYNYALGPMII · pith_short_8: KPZL6ZYN

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/KPZL6ZYNYALGPMIINUWJT4WPU6 \
  | 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: 53f2bf670dc01667b1086d2c99f2cfa7939db6db8875fe45be585ef4ca970201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8707a5d1ade059085e58437313932a390b539549ea00dd550c3a886c4b2583",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2017-10-19T08:04:05Z",
    "title_canon_sha256": "6786e882981b29dcc28d717f01946004449e04fe3799ea6b10d66c6eee4744c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07030",
    "kind": "arxiv",
    "version": 3
  }
}