Pith Number

pith:5KM6DVDZ

pith:2019:5KM6DVDZW6GF4OXVX65L4X3YEM

not attested not anchored not stored refs pending

Approximation of Riemannian Distances and Applications to Distance-Based Learning on Manifolds

Elodie Maignant, Philipp Harms, Stefan Schlager

arxiv:1904.11860 v1 · 2019-04-26 · 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{5KM6DVDZW6GF4OXVX65L4X3YEM}

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

On the Wasserstein Geodesic Principal Component Analysis of probability measures

Receipt and verification

First computed	2026-05-17T23:47:40.773770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea99e1d479b78c5e3af5bfbabe5f782337034131ef18cb8cb80d01f0f828e6cb

Aliases

arxiv: 1904.11860 · arxiv_version: 1904.11860v1 · doi: 10.48550/arxiv.1904.11860 · pith_short_12: 5KM6DVDZW6GF · pith_short_16: 5KM6DVDZW6GF4OXV · pith_short_8: 5KM6DVDZ

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/5KM6DVDZW6GF4OXVX65L4X3YEM \
  | 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: ea99e1d479b78c5e3af5bfbabe5f782337034131ef18cb8cb80d01f0f828e6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da80039ec00cfb2d84eee57b89bcdc9d1063f0a40d109967ceafe414275dd42d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-26T14:17:11Z",
    "title_canon_sha256": "e59f470e528c6b8a73d9de434951ddc3057f42255ffbc45dbcd85bd8f3741afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11860",
    "kind": "arxiv",
    "version": 1
  }
}