Pith Number

pith:NCUCRR6G

pith:2024:NCUCRR6G5IPWUFRTKUX33JHRGE

not attested not anchored not stored refs pending

Wasserstein Gradient Flows of MMD Functionals with Distance Kernels under Sobolev Regularization

Gabriele Steidl, Nicolaj Rux, Richard Duong, Viktor Stein

arxiv:2411.09848 v2 · 2024-11-14 · 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{NCUCRR6G5IPWUFRTKUX33JHRGE}

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	2026-07-05T10:58:20.408270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68a828c7c6ea1f6a1633552fbda4f1313b5d21cff8068d8481b01af8a0d6212b

Aliases

arxiv: 2411.09848 · arxiv_version: 2411.09848v2 · doi: 10.48550/arxiv.2411.09848 · pith_short_12: NCUCRR6G5IPW · pith_short_16: NCUCRR6G5IPWUFRT · pith_short_8: NCUCRR6G

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/NCUCRR6G5IPWUFRTKUX33JHRGE \
  | 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: 68a828c7c6ea1f6a1633552fbda4f1313b5d21cff8068d8481b01af8a0d6212b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac957ca91b4190af9624b33042f7d0d2e5cf42d81da703a46ea3ae8d859db0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-14T23:48:39Z",
    "title_canon_sha256": "6a56ea85fd771498b28acf5d59d927bc6e084ec3c277b66b4b23e205f8e1fbeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09848",
    "kind": "arxiv",
    "version": 2
  }
}