Pith Number

pith:S3LDVOAQ

pith:2014:S3LDVOAQU67HHYRNHTG43QAX7U

not attested not anchored not stored refs pending

Estimation of exponential-polynomial distribution by holonomic gradient descent

Akimichi Takemura, Jumpei Hayakawa

arxiv:1403.7852 v2 · 2014-03-31 · 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{S3LDVOAQU67HHYRNHTG43QAX7U}

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	2026-05-18T02:42:46.310229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96d63ab810a7be73e22d3ccdcdc017fd3b82ed13d8d9117aabb7d8f6fa0b8ff4

Aliases

arxiv: 1403.7852 · arxiv_version: 1403.7852v2 · doi: 10.48550/arxiv.1403.7852 · pith_short_12: S3LDVOAQU67H · pith_short_16: S3LDVOAQU67HHYRN · pith_short_8: S3LDVOAQ

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/S3LDVOAQU67HHYRNHTG43QAX7U \
  | 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: 96d63ab810a7be73e22d3ccdcdc017fd3b82ed13d8d9117aabb7d8f6fa0b8ff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea55acdfff537886a794eed48248553fb9c787d568acc6a21e1144491df9567f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-03-31T02:36:41Z",
    "title_canon_sha256": "fd14b3cb19e6c661fbde3b0a512cc284f3ccff623c2967f55a85afd1edd12477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7852",
    "kind": "arxiv",
    "version": 2
  }
}