Pith Number

pith:O3TBLOYQ

pith:2026:O3TBLOYQHL4JTBLHABGVVWCEHJ

not attested not anchored not stored refs pending

A Dynamical Approximation Scheme on the Stiefel manifold for Wasserstein Gradient Flows

Federico Pichi, Gianluigi Rozza, Isabella Carla Gonnella, Olga Mula

arxiv:2607.17235 v1 · 2026-07-19 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3TBLOYQHL4JTBLHABGVVWCEHJ}

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	2026-07-21T01:21:23.137685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76e615bb103af8998567004d5ad8443a5593cdd0000e4ac2abd342afd7915569

Aliases

arxiv: 2607.17235 · arxiv_version: 2607.17235v1 · doi: 10.48550/arxiv.2607.17235 · pith_short_12: O3TBLOYQHL4J · pith_short_16: O3TBLOYQHL4JTBLH · pith_short_8: O3TBLOYQ

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/O3TBLOYQHL4JTBLHABGVVWCEHJ \
  | 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: 76e615bb103af8998567004d5ad8443a5593cdd0000e4ac2abd342afd7915569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d069cb4e11bff2cd14fea3c2b1357b54bbedf1d9afe0f57d326405ae12e6e8a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-19T12:58:27Z",
    "title_canon_sha256": "8ad536c7ffe51c0587886680b03e3e568ef817bd4208b08c7b1edf9458541512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17235",
    "kind": "arxiv",
    "version": 1
  }
}