Pith Number

pith:H6L42JJ5

pith:2016:H6L42JJ5LRIA64UJESLX5AEYGX

not attested not anchored not stored refs pending

Efficient algorithms for the inversion of the cumulative central beta distribution

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

arxiv:1605.03503 v1 · 2016-05-11 · math.NA · cs.NA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6L42JJ5LRIA64UJESLX5AEYGX}

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	2026-05-18T01:15:05.249881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f97cd253d5c500f728924977e809835f345c46932a76408c600309f49f48b0d

Aliases

arxiv: 1605.03503 · arxiv_version: 1605.03503v1 · doi: 10.48550/arxiv.1605.03503 · pith_short_12: H6L42JJ5LRIA · pith_short_16: H6L42JJ5LRIA64UJ · pith_short_8: H6L42JJ5

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/H6L42JJ5LRIA64UJESLX5AEYGX \
  | 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: 3f97cd253d5c500f728924977e809835f345c46932a76408c600309f49f48b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94290f5b87e11cd7d297f2deb1ee86716683ae15f35b8810641db397df36813a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-11T16:32:37Z",
    "title_canon_sha256": "5881595334b17a48db924ed7d40e95f6d3a84a5058cef1dd2a8856bd096644c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03503",
    "kind": "arxiv",
    "version": 1
  }
}