Pith Number

pith:ZU7RZ7RS

pith:2015:ZU7RZ7RSYSTCXSZPELNP2ALL2Z

not attested not anchored not stored refs pending

GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral)

A. Gil, J. Segura, N. M. Temme

arxiv:1501.01578 v1 · 2015-01-07 · cs.MS · math.CA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZU7RZ7RSYSTCXSZPELNP2ALL2Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:41:13.985370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3f1cfe32c4a62bcb2f22dafd016bd668579c43563357383d5ae926a203143b

Aliases

arxiv: 1501.01578 · arxiv_version: 1501.01578v1 · doi: 10.48550/arxiv.1501.01578 · pith_short_12: ZU7RZ7RSYSTC · pith_short_16: ZU7RZ7RSYSTCXSZP · pith_short_8: ZU7RZ7RS

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/ZU7RZ7RSYSTCXSZPELNP2ALL2Z \
  | 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: cd3f1cfe32c4a62bcb2f22dafd016bd668579c43563357383d5ae926a203143b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c4ec004d27a0c66eff69751dd12841738ca32945a4960ef74263e61bd4ab4a",
    "cross_cats_sorted": [
      "math.CA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2015-01-07T18:06:17Z",
    "title_canon_sha256": "428e1e8554afd23546acc0b5e87d7bc273ba658ddc46e8852218b981b2339b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01578",
    "kind": "arxiv",
    "version": 1
  }
}