Pith Number

pith:LV3N6RV4

pith:2025:LV3N6RV44ABGCM7LVYWEQUO2LA

not attested not anchored not stored refs pending

A Riemannian viewpoint on the Amari-Cencov $\alpha$-connections and Proudman-Johnson equations

Alice Le Brigant, Cy Maor, Martin Bauer

arxiv:2508.00371 v1 · 2025-08-01 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LV3N6RV44ABGCM7LVYWEQUO2LA}

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

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

Receipt and verification

First computed	2026-07-05T11:46:54.465804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d76df46bce0026133ebae2c4851da580dd8c950acd801f35349c12543a75a2a

Aliases

arxiv: 2508.00371 · arxiv_version: 2508.00371v1 · doi: 10.48550/arxiv.2508.00371 · pith_short_12: LV3N6RV44ABG · pith_short_16: LV3N6RV44ABGCM7L · pith_short_8: LV3N6RV4

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/LV3N6RV44ABGCM7LVYWEQUO2LA \
  | 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: 5d76df46bce0026133ebae2c4851da580dd8c950acd801f35349c12543a75a2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177d4c76296d5d48dd4636a0134808a0339d496be0b12c7c38efc5bf5a6cc506",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-01T07:03:36Z",
    "title_canon_sha256": "647a49e930c794ba0923c592bc8b84e500017bde0d6c7436ba883474abe92316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.00371",
    "kind": "arxiv",
    "version": 1
  }
}