Pith Number

pith:AL3NC47J

pith:2019:AL3NC47JGMXEIYVN4JBP4YPVMH

not attested not anchored not stored refs pending

Unique ergodicity of deterministic zero-sum differential games

Antoine Hochart

arxiv:1908.03643 v2 · 2019-08-09 · 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{AL3NC47JGMXEIYVN4JBP4YPVMH}

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	2026-07-05T00:30:20.910256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f6d173e9332e4462ade242fe61f561d0251795f0c0993a2ff5baf7faef0d4d

Aliases

arxiv: 1908.03643 · arxiv_version: 1908.03643v2 · doi: 10.48550/arxiv.1908.03643 · pith_short_12: AL3NC47JGMXE · pith_short_16: AL3NC47JGMXEIYVN · pith_short_8: AL3NC47J

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/AL3NC47JGMXEIYVN4JBP4YPVMH \
  | 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: 02f6d173e9332e4462ade242fe61f561d0251795f0c0993a2ff5baf7faef0d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a39fe698b6509e1d9abe258be3bc5c11b3ce56da84e4ba75174833b44d15fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-09T21:58:29Z",
    "title_canon_sha256": "66970029c9925679cf3054accacc9f963ed30f05459f94516c24776f65b3433d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03643",
    "kind": "arxiv",
    "version": 2
  }
}