Pith Number

pith:UFNMUBXM

pith:2019:UFNMUBXM42ZXIHUVGDX4DYIHWZ

not attested not anchored not stored refs pending

Stability of the Cut Locus and a Central Limit Theorem for Fr\'echet Means of Riemannian Manifolds

Benjamin Eltzner, Fernando Galaz-Garcia, Stephan F. Huckemann, Wilderich Tuschmann

arxiv:1909.00410 v2 · 2019-09-01 · math.DG · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFNMUBXM42ZXIHUVGDX4DYIHWZ}

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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

Geometrical Smeariness -- A new Phenomenon of Fr\'echet Means

Receipt and verification

First computed	2026-07-05T00:02:15.052352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a15aca06ece6b3741e9530efc1e107b64fa557c87341acbb3b852208c56a4272

Aliases

arxiv: 1909.00410 · arxiv_version: 1909.00410v2 · doi: 10.48550/arxiv.1909.00410 · pith_short_12: UFNMUBXM42ZX · pith_short_16: UFNMUBXM42ZXIHUV · pith_short_8: UFNMUBXM

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/UFNMUBXM42ZXIHUVGDX4DYIHWZ \
  | 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: a15aca06ece6b3741e9530efc1e107b64fa557c87341acbb3b852208c56a4272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c184cf044b49100f934c020e6898f8f228ba91f57a5cee3de41526ea82694904",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-01T14:41:56Z",
    "title_canon_sha256": "f5d9f00d0c33b0f8b0798a280951c05bb9adb6f0a434414beaef7b35a87a772a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00410",
    "kind": "arxiv",
    "version": 2
  }
}