Pith Number

pith:ADM25EYY

pith:2011:ADM25EYYJ2F6S7Q4EGP4XBZEL3

not attested not anchored not stored refs pending

On Zero-Sum Stochastic Differential Games

Erhan Bayraktar, Song Yao

arxiv:1112.5744 v3 · 2011-12-24 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADM25EYYJ2F6S7Q4EGP4XBZEL3}

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	2026-05-18T04:04:32.870287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00d9ae93184e8be97e1c219fcb87245edff148280b8e72f99f6f825ceb4c8ea3

Aliases

arxiv: 1112.5744 · arxiv_version: 1112.5744v3 · doi: 10.48550/arxiv.1112.5744 · pith_short_12: ADM25EYYJ2F6 · pith_short_16: ADM25EYYJ2F6S7Q4 · pith_short_8: ADM25EYY

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/ADM25EYYJ2F6S7Q4EGP4XBZEL3 \
  | 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: 00d9ae93184e8be97e1c219fcb87245edff148280b8e72f99f6f825ceb4c8ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "642d14cb428e01025ed90c9530483800cf4b5b48ec3ed00d376c0d1d7591cdd3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-24T17:48:30Z",
    "title_canon_sha256": "f30f4c54e451485f015a201c2d0e112c327cc01066299deb437488174897bd00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5744",
    "kind": "arxiv",
    "version": 3
  }
}