Pith Number

pith:FZ5YTF7C

pith:2024:FZ5YTF7CZ5D36C6ECD762TE4OP

not attested not anchored not stored refs pending

Exciting games and Monge-Amp\`ere equations

Julio Backhoff, Xin Zhang, Zhizhang Wang

arxiv:2412.01995 v2 · 2024-12-02 · math.PR · 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{FZ5YTF7CZ5D36C6ECD762TE4OP}

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	2026-07-05T09:57:49.152117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7b8997e2cf47bf0bc410ffed4c9c73ef487b44705e363ba910ee6f7b955e5f

Aliases

arxiv: 2412.01995 · arxiv_version: 2412.01995v2 · doi: 10.48550/arxiv.2412.01995 · pith_short_12: FZ5YTF7CZ5D3 · pith_short_16: FZ5YTF7CZ5D36C6E · pith_short_8: FZ5YTF7C

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/FZ5YTF7CZ5D36C6ECD762TE4OP \
  | 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: 2e7b8997e2cf47bf0bc410ffed4c9c73ef487b44705e363ba910ee6f7b955e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48dd1ac261741206f214286c0359913c57d6c726540bd4ee41c6649ae0f51aca",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-02T22:04:31Z",
    "title_canon_sha256": "660628bd4fc722f90ca2dc7a4792ac9300c7a7c2b848efe1cb42ae519ef0ea8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01995",
    "kind": "arxiv",
    "version": 2
  }
}