Pith Number

pith:WWEPWI5M

pith:2010:WWEPWI5MBCSB7XMQT4L5LOOA2Y

not attested not anchored not stored refs pending

On zero-sum Stochastic Differential Games with Jump-Diffusion driven state: A viscosity solution framework

Imran H. Biswas

arxiv:1009.4949 v1 · 2010-09-24 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWEPWI5MBCSB7XMQT4L5LOOA2Y}

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	2026-05-18T04:40:19.714016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b588fb23ac08a41fdd909f17d5b9c0d63eab1924f6436d9ab4a00b7ce38b9f25

Aliases

arxiv: 1009.4949 · arxiv_version: 1009.4949v1 · doi: 10.48550/arxiv.1009.4949 · pith_short_12: WWEPWI5MBCSB · pith_short_16: WWEPWI5MBCSB7XMQ · pith_short_8: WWEPWI5M

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/WWEPWI5MBCSB7XMQT4L5LOOA2Y \
  | 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: b588fb23ac08a41fdd909f17d5b9c0d63eab1924f6436d9ab4a00b7ce38b9f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d1c7619cf45231a5ddf564d8a005a2690d203429a032e2f286be567777549d5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-09-24T21:16:15Z",
    "title_canon_sha256": "a81003c4d79a89b70514e2ed9759cd214fadae53a297e0bd5b52f8259eca369b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4949",
    "kind": "arxiv",
    "version": 1
  }
}