Pith Number

pith:H7EK7QGB

pith:2014:H7EK7QGBMD5MNF5AKFGOYQGQDC

not attested not anchored not stored refs pending

Properties of powers of functions satisfying second-order linear differential equations with applications to statistics

Akimichi Takemura, Naoki Marumo, Toshinori Oaku

arxiv:1405.4451 v1 · 2014-05-18 · math.CA · 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{H7EK7QGBMD5MNF5AKFGOYQGQDC}

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	2026-05-18T01:36:15.591161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fc8afc0c160fac697a0514cec40d018b6e607dd14290176e17edc9e23c33776

Aliases

arxiv: 1405.4451 · arxiv_version: 1405.4451v1 · doi: 10.48550/arxiv.1405.4451 · pith_short_12: H7EK7QGBMD5M · pith_short_16: H7EK7QGBMD5MNF5A · pith_short_8: H7EK7QGB

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/H7EK7QGBMD5MNF5AKFGOYQGQDC \
  | 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: 3fc8afc0c160fac697a0514cec40d018b6e607dd14290176e17edc9e23c33776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e91b2a1ba62eb4384fc58d30d78d54411002b42ba7daa41ab6898c184b090dae",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-18T01:51:55Z",
    "title_canon_sha256": "b5bc5edfa824142271fe0ecda0df3c5d4cf6745b5f6093c5005cbe8e16d0a382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4451",
    "kind": "arxiv",
    "version": 1
  }
}