Pith Number

pith:GQFVSTWF

pith:2024:GQFVSTWFCDRU4F2VMFLEULCJHS

not attested not anchored not stored refs pending

Wasserstein Diffusion on Multidimensional Spaces

Karl-Theodor Sturm

arxiv:2401.12721 v3 · 2024-01-23 · math.PR · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQFVSTWFCDRU4F2VMFLEULCJHS}

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

Diffusion enabled Optimal Transport distances for graph matching

Receipt and verification

First computed	2026-07-05T08:11:42.906413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340b594ec510e34e175561564a2c493c8d4e1ec38d82029f7830b5b78ee0dc9c

Aliases

arxiv: 2401.12721 · arxiv_version: 2401.12721v3 · doi: 10.48550/arxiv.2401.12721 · pith_short_12: GQFVSTWFCDRU · pith_short_16: GQFVSTWFCDRU4F2V · pith_short_8: GQFVSTWF

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/GQFVSTWFCDRU4F2VMFLEULCJHS \
  | 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: 340b594ec510e34e175561564a2c493c8d4e1ec38d82029f7830b5b78ee0dc9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7928435050b0c6e7fe6194c8981143d3943edbbcdcc1db5a4f327c77f3ebc2",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-01-23T12:46:02Z",
    "title_canon_sha256": "4907d061af16f18f53fc84c9bd91faa004550ab76dd75fa46fed676227d078ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.12721",
    "kind": "arxiv",
    "version": 3
  }
}