Pith Number

pith:BWRPRZ42

pith:2017:BWRPRZ42WVYOU4P42ZSQ5FJZFI

not attested not anchored not stored refs pending

A Dual Method For Backward Stochastic Differential Equations with Application to Risk Valuation

Andrzej Ruszczynski, Jianing Yao

arxiv:1701.06234 v4 · 2017-01-22 · math.OC · 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{BWRPRZ42WVYOU4P42ZSQ5FJZFI}

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	2026-07-05T01:28:39.848978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da2f8e79ab570ea71fcd6650e95392a05f57689ea7d75311685a3794587d6ec

Aliases

arxiv: 1701.06234 · arxiv_version: 1701.06234v4 · doi: 10.48550/arxiv.1701.06234 · pith_short_12: BWRPRZ42WVYO · pith_short_16: BWRPRZ42WVYOU4P4 · pith_short_8: BWRPRZ42

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/BWRPRZ42WVYOU4P42ZSQ5FJZFI \
  | 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: 0da2f8e79ab570ea71fcd6650e95392a05f57689ea7d75311685a3794587d6ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "896e0f979041b65239d071108584940854b631ded405ab392f159fc975add446",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-01-22T23:11:11Z",
    "title_canon_sha256": "44933435fe20af0050a669018b9943b9ac5d8599ce7bdbda085a2eaf8921c221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06234",
    "kind": "arxiv",
    "version": 4
  }
}