Pith Number

pith:VRRKAOGR

pith:2018:VRRKAOGRTQAZTAVFDLFQUB56EX

not attested not anchored not stored refs pending

An algorithm for computing Fr\'echet means on the sphere

Gabriele Eichfelder, Johannes Wieditz, Thomas Hotz

arxiv:1802.09243 v1 · 2018-02-26 · stat.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRRKAOGRTQAZTAVFDLFQUB56EX}

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	2026-05-18T00:22:34.298337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac62a038d19c019982a51acb0a07be25d6275e32b1f0e8ea1955b725e6c1831a

Aliases

arxiv: 1802.09243 · arxiv_version: 1802.09243v1 · doi: 10.48550/arxiv.1802.09243 · pith_short_12: VRRKAOGRTQAZ · pith_short_16: VRRKAOGRTQAZTAVF · pith_short_8: VRRKAOGR

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/VRRKAOGRTQAZTAVFDLFQUB56EX \
  | 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: ac62a038d19c019982a51acb0a07be25d6275e32b1f0e8ea1955b725e6c1831a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3b9bacfec4acdd1b4b31f9e1385695bfabb9d463d6ae005a42ceb94ef61ef4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2018-02-26T10:57:03Z",
    "title_canon_sha256": "113f29e70304756e9b9ddbadac15500e38e51baa31f138ab4baa64cf0515f090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09243",
    "kind": "arxiv",
    "version": 1
  }
}