Pith Number

pith:JQX5WYMU

pith:2014:JQX5WYMUT4U3ZESAUAP3ORAIGQ

not attested not anchored not stored refs pending

Riemannian Center of Mass and so called karcher mean

Hermann Karcher

arxiv:1407.2087 v1 · 2014-07-03 · math.HO · 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{JQX5WYMUT4U3ZESAUAP3ORAIGQ}

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	2026-05-18T02:48:08.480547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2fdb61949f29bc9240a01fb74408342494603f0fae03272a4526e96f2c0acd

Aliases

arxiv: 1407.2087 · arxiv_version: 1407.2087v1 · doi: 10.48550/arxiv.1407.2087 · pith_short_12: JQX5WYMUT4U3 · pith_short_16: JQX5WYMUT4U3ZESA · pith_short_8: JQX5WYMU

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/JQX5WYMUT4U3ZESAUAP3ORAIGQ \
  | 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: 4c2fdb61949f29bc9240a01fb74408342494603f0fae03272a4526e96f2c0acd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d3ffc58091a2675ab88ed89aa02dd65b4d0e10c0a46515c87b28d8249f8a903",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2014-07-03T17:51:33Z",
    "title_canon_sha256": "da75f9e05178cb779ae20c7dc0ad6dc761ba0893dd5dc925d9b07d4ea1d52b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2087",
    "kind": "arxiv",
    "version": 1
  }
}