Pith Number

pith:2O77MX5O

pith:2014:2O77MX5OTMKUCTJYRLM65ASQZI

not attested not anchored not stored refs pending

On the bang-bang type Nash equilibrium point for Markovian nonzero-sum stochastic differential game

Rui Mu, Said Hamad\`ene

arxiv:1412.1214 v2 · 2014-12-03 · 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{2O77MX5OTMKUCTJYRLM65ASQZI}

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	2026-05-18T02:25:26.152388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3bff65fae9b15414d388ad9ee8250ca225079d9a6f15bde82554c84d5d775e8

Aliases

arxiv: 1412.1214 · arxiv_version: 1412.1214v2 · doi: 10.48550/arxiv.1412.1214 · pith_short_12: 2O77MX5OTMKU · pith_short_16: 2O77MX5OTMKUCTJY · pith_short_8: 2O77MX5O

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/2O77MX5OTMKUCTJYRLM65ASQZI \
  | 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: d3bff65fae9b15414d388ad9ee8250ca225079d9a6f15bde82554c84d5d775e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f710e75964b4550aa2de4898fe89313b4f092c14e18c457d5f5e7373ebe783",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-12-03T07:13:24Z",
    "title_canon_sha256": "54f81c53b0745ed42408017c7c611b69af4b9e56cc98dd51a896592fbdbc2f81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1214",
    "kind": "arxiv",
    "version": 2
  }
}