Pith Number

pith:JXUVRFYZ

pith:2010:JXUVRFYZV5D6T74BB45NKUN7CI

not attested not anchored not stored refs pending

Reflected Backward Stochastic Difference Equations with Finite State and their applications

Lifen An, Shaolin Ji

arxiv:1001.3054 v5 · 2010-01-18 · math.PR · math.OC · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXUVRFYZV5D6T74BB45NKUN7CI}

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	2026-05-18T03:37:29.184773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de9589719af47e9ff810f3ad551bf120cf54082f80ee4559ce5e1f0dd5f3060

Aliases

arxiv: 1001.3054 · arxiv_version: 1001.3054v5 · doi: 10.48550/arxiv.1001.3054 · pith_short_12: JXUVRFYZV5D6 · pith_short_16: JXUVRFYZV5D6T74B · pith_short_8: JXUVRFYZ

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/JXUVRFYZV5D6T74BB45NKUN7CI \
  | 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: 4de9589719af47e9ff810f3ad551bf120cf54082f80ee4559ce5e1f0dd5f3060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdb555c125f418b829e259450444fed8fe191de88ccc6eff1a8b7a7e528db4b",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-18T13:21:16Z",
    "title_canon_sha256": "94ea27e98108a3e13defd24dc4823a96b87e48b5d033da32a7cd62ffd2074601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3054",
    "kind": "arxiv",
    "version": 5
  }
}