Pith Number

pith:TLAL72GC

pith:2014:TLAL72GC2V6T6DSZKT2CN5LHFB

not attested not anchored not stored refs pending

Testing equality between several populations covariance operators

Daniela Rodriguez, Graciela Boente, Mariela Sued

arxiv:1404.7080 v2 · 2014-04-28 · 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{TLAL72GC2V6T6DSZKT2CN5LHFB}

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	2026-05-18T00:57:44.538869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac0bfe8c2d57d3f0e5954f426f56728470fecad6b81f186dc44e5cafe394fd0

Aliases

arxiv: 1404.7080 · arxiv_version: 1404.7080v2 · doi: 10.48550/arxiv.1404.7080 · pith_short_12: TLAL72GC2V6T · pith_short_16: TLAL72GC2V6T6DSZ · pith_short_8: TLAL72GC

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/TLAL72GC2V6T6DSZKT2CN5LHFB \
  | 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: 9ac0bfe8c2d57d3f0e5954f426f56728470fecad6b81f186dc44e5cafe394fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699a602a4d4796179a8a3355fd3baa55358fcc5f38c53f36a4256beed702488e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-04-28T18:19:36Z",
    "title_canon_sha256": "8fd8685ec6cf3173754ec5dbe824c32d45d586408c4bc31d8b4fd74c66b167d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7080",
    "kind": "arxiv",
    "version": 2
  }
}