Pith Number

pith:7CUX5RWM

pith:2012:7CUX5RWMZCCV5GOHX3PNO4GG33

not attested not anchored not stored refs pending

Weighted Frechet Means as Convex Combinations in Metric Spaces: Properties and Generalized Median Inequalities

Andrew Simmons, Cedric E. Ginestet, Eric D. Kolaczyk

arxiv:1204.2194 v3 · 2012-04-10 · math.ST · q-bio.QM · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CUX5RWMZCCV5GOHX3PNO4GG33}

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	2026-05-18T03:53:44.750590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a97ec6ccc8855e99c7beded770c6def2269d4d17765fc6a67bb47a3078fc5d

Aliases

arxiv: 1204.2194 · arxiv_version: 1204.2194v3 · doi: 10.48550/arxiv.1204.2194 · pith_short_12: 7CUX5RWMZCCV · pith_short_16: 7CUX5RWMZCCV5GOH · pith_short_8: 7CUX5RWM

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/7CUX5RWMZCCV5GOHX3PNO4GG33 \
  | 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: f8a97ec6ccc8855e99c7beded770c6def2269d4d17765fc6a67bb47a3078fc5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522da3e1013f787add95e86b83b7a6ef551e3e6baf74d86445982d52e8915946",
    "cross_cats_sorted": [
      "q-bio.QM",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-04-10T15:33:03Z",
    "title_canon_sha256": "245ead8384cdefdb98d550c59bd0ff51fd5378236a077b04107056b5fc51ca3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2194",
    "kind": "arxiv",
    "version": 3
  }
}