Pith Number

pith:P3TUP5KD

pith:2008:P3TUP5KD337UT3BIJ3IE7FNUFE

not attested not anchored not stored refs pending

A Generalized Mixed Zero-sum Stochastic Differential Game and Double Barrier Reflected BSDEs with Quadratic Growth Coefficient

Adrian Zalinescu, Eduard Rotenstein, Said Hamadene

arxiv:0807.1416 v4 · 2008-07-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3TUP5KD337UT3BIJ3IE7FNUFE}

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	2026-05-18T03:17:25.264969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee747f543deff49ec284ed04f95b4292bf9833c56adb8c9146f1b2258bc6ffa

Aliases

arxiv: 0807.1416 · arxiv_version: 0807.1416v4 · doi: 10.48550/arxiv.0807.1416 · pith_short_12: P3TUP5KD337U · pith_short_16: P3TUP5KD337UT3BI · pith_short_8: P3TUP5KD

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/P3TUP5KD337UT3BIJ3IE7FNUFE \
  | 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: 7ee747f543deff49ec284ed04f95b4292bf9833c56adb8c9146f1b2258bc6ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3829a94ff005859a7fa03063e58d90bc33896b9a90dd30b042c5d02f0875c45a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2008-07-09T18:37:43Z",
    "title_canon_sha256": "d9f99d45848e14de50035cd42c6ba06555ef1cd096a729091fbda5be840dae3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1416",
    "kind": "arxiv",
    "version": 4
  }
}