Pith Number

pith:4LZ6WBUQ

pith:2017:4LZ6WBUQ6S2Q3EDFQMOS3ZU5GZ

not attested not anchored not stored refs pending

Regularity of Nash payoffs of Markovian nonzero-sum stochastic differential games

Paola Mannucci, Said Hamadene

arxiv:1711.02357 v2 · 2017-11-07 · 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{4LZ6WBUQ6S2Q3EDFQMOS3ZU5GZ}

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	2026-05-18T00:02:36.028181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f3eb0690f4b50d9065831d2de69d3644cb2cd16257d9c5556b66f7e10bbca7

Aliases

arxiv: 1711.02357 · arxiv_version: 1711.02357v2 · doi: 10.48550/arxiv.1711.02357 · pith_short_12: 4LZ6WBUQ6S2Q · pith_short_16: 4LZ6WBUQ6S2Q3EDF · pith_short_8: 4LZ6WBUQ

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/4LZ6WBUQ6S2Q3EDFQMOS3ZU5GZ \
  | 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: e2f3eb0690f4b50d9065831d2de69d3644cb2cd16257d9c5556b66f7e10bbca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2316946cd54879f2b34f19dfdbe8ee150ef55f28a056619c1ffc0ca866c60670",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-07T09:41:00Z",
    "title_canon_sha256": "edfd2b3452fb81e9965179f95502b232c629bf9e7ee4470daa6d4c18c749289c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02357",
    "kind": "arxiv",
    "version": 2
  }
}