Pith Number

pith:R2FRO2BN

pith:2026:R2FRO2BN6JH2JV5BOUTGNEA52I

not attested not anchored not stored refs pending

Rigidity of Wasserstein spaces over Riemannian manifolds

David Lenze

arxiv:2606.21986 v1 · 2026-06-20 · math.DG · 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{R2FRO2BN6JH2JV5BOUTGNEA52I}

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	2026-06-23T02:13:04.986438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e8b17682df24fa4d7a1752666901dd22c70836defb2e8c91e88a5c677034fbe

Aliases

arxiv: 2606.21986 · arxiv_version: 2606.21986v1 · doi: 10.48550/arxiv.2606.21986 · pith_short_12: R2FRO2BN6JH2 · pith_short_16: R2FRO2BN6JH2JV5B · pith_short_8: R2FRO2BN

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/R2FRO2BN6JH2JV5BOUTGNEA52I \
  | 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: 8e8b17682df24fa4d7a1752666901dd22c70836defb2e8c91e88a5c677034fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "516e69376ad749e2966de75e4605ff976fb89ea469ba9c1197d8d4315fe798c1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-20T10:44:57Z",
    "title_canon_sha256": "3c3d61b75266fac9230ab64bf30d4d43c0f8317ba4088bed685138820352ad33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21986",
    "kind": "arxiv",
    "version": 1
  }
}