Pith Number

pith:WMYK2YEC

pith:2025:WMYK2YECQDIV5E7RHXVRE22LJH

not attested not anchored not stored refs pending

Fractional Sobolev processes on Wasserstein spaces and their energy-minimizing particle representations with applications

Ehsan Abedi

arxiv:2503.10859 v3 · 2025-03-13 · math.PR · 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{WMYK2YECQDIV5E7RHXVRE22LJH}

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

1 paper in Pith

Non-uniqueness of nonlinear Markov processes in the sense of McKean associated with parabolic PDEs

Receipt and verification

First computed	2026-07-05T11:39:10.164783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b330ad608280d15e93f13deb126b4b49ffbd9b7ab379cc140d3bb6751a769a60

Aliases

arxiv: 2503.10859 · arxiv_version: 2503.10859v3 · doi: 10.48550/arxiv.2503.10859 · pith_short_12: WMYK2YECQDIV · pith_short_16: WMYK2YECQDIV5E7R · pith_short_8: WMYK2YEC

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/WMYK2YECQDIV5E7RHXVRE22LJH \
  | 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: b330ad608280d15e93f13deb126b4b49ffbd9b7ab379cc140d3bb6751a769a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c465d7b0af03ea41f7774e3e1d2fff6a148be9761afe323f001b469e85691131",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-13T20:15:35Z",
    "title_canon_sha256": "bf5bf29f5bfe48203c55d35c9ca683dd3f44873e10cc05c7519019ab9d2200ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.10859",
    "kind": "arxiv",
    "version": 3
  }
}