Pith Number

pith:6K4TMPAS

pith:2015:6K4TMPASZIE5HBJ34KMDHIR6WE

not attested not anchored not stored refs pending

Estimation of mean form and mean form difference under elliptical laws

Francisco J. Caro-Lopera, Jos\'e A. D\'iaz-Garc\'ia

arxiv:1507.03315 v1 · 2015-07-13 · math.ST · 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{6K4TMPASZIE5HBJ34KMDHIR6WE}

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	2026-05-18T01:36:59.135380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b9363c12ca09d3853be29833a23eb136ab250db6bc188aabf0992733228d41

Aliases

arxiv: 1507.03315 · arxiv_version: 1507.03315v1 · doi: 10.48550/arxiv.1507.03315 · pith_short_12: 6K4TMPASZIE5 · pith_short_16: 6K4TMPASZIE5HBJ3 · pith_short_8: 6K4TMPAS

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/6K4TMPASZIE5HBJ34KMDHIR6WE \
  | 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: f2b9363c12ca09d3853be29833a23eb136ab250db6bc188aabf0992733228d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71b3f4e56480dabcc9ec1e2ea142f43aa66b778e9cead59b15ea67e6adc3f39",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-07-13T03:03:38Z",
    "title_canon_sha256": "8566b5305ee2542694f72caa9c1e6ac7bd03d924af8e8a5d71d6de0d8a45651f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03315",
    "kind": "arxiv",
    "version": 1
  }
}