Pith Number

pith:XQYOUCX2

pith:2024:XQYOUCX2WJGKG2I46UMAHMSZAD

not attested not anchored not stored refs pending

An approximation of the squared Wasserstein distance and an application to Hamilton-Jacobi equations

CEREMADE), Charles Bertucci (CMAP), Pierre Louis Lions (CdF

arxiv:2409.11793 v1 · 2024-09-18 · math.AP · 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{XQYOUCX2WJGKG2I46UMAHMSZAD}

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.

Cited by

2 papers in Pith

A comparison principle for Wasserstein PDEs with state- and law-dependent common noise

Non-linear Stegall's lemma and general Hamilton-Jacobi-Bellman equations on Wasserstein spaces

Receipt and verification

First computed	2026-07-05T09:08:37.695530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc30ea0afab24ca3691cf51803b25900dc1bbc5ab28463bd2f2449bbf961be85

Aliases

arxiv: 2409.11793 · arxiv_version: 2409.11793v1 · doi: 10.48550/arxiv.2409.11793 · pith_short_12: XQYOUCX2WJGK · pith_short_16: XQYOUCX2WJGKG2I4 · pith_short_8: XQYOUCX2

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/XQYOUCX2WJGKG2I46UMAHMSZAD \
  | 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: bc30ea0afab24ca3691cf51803b25900dc1bbc5ab28463bd2f2449bbf961be85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "767a60dc34c690f0e6e1566ff8fb351834b232787fb594dedd3e00c38e749084",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-18T08:20:38Z",
    "title_canon_sha256": "a49145d9b68c1e96bff9d9d3422e0301217ddc8faa363a92cd6a0cc3155cb3cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.11793",
    "kind": "arxiv",
    "version": 1
  }
}