Pith Number

pith:UTEOHWLL

pith:2026:UTEOHWLL54M4NLGE7566MHJA4P

not attested not anchored not stored refs pending

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics

Fran\c{c}ois-Xavier Vialard, Martin Bauer, Peter W. Michor

arxiv:2605.27086 v1 · 2026-05-26 · math.DG · 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{UTEOHWLL54M4NLGE7566MHJA4P}

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	2026-05-27T01:06:27.631998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c8e3d96bef19c6acc4ff7de61d20e3cf99a348ff93188bcd27af43bc77ae82

Aliases

arxiv: 2605.27086 · arxiv_version: 2605.27086v1 · doi: 10.48550/arxiv.2605.27086 · pith_short_12: UTEOHWLL54M4 · pith_short_16: UTEOHWLL54M4NLGE · pith_short_8: UTEOHWLL

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/UTEOHWLL54M4NLGE7566MHJA4P \
  | 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: a4c8e3d96bef19c6acc4ff7de61d20e3cf99a348ff93188bcd27af43bc77ae82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b18545ce73add3affd54f1389881ce9b757a299e98b2581b90fa25a90ad10c3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-26T14:34:49Z",
    "title_canon_sha256": "7cf538e60b828525e843f8e75fa5d41893d7a24973355a4ac1e847540d655213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27086",
    "kind": "arxiv",
    "version": 1
  }
}