Pith Number

pith:Z33WAP32

pith:2014:Z33WAP324VTI3NUXLTOV3EHV4W

not attested not anchored not stored refs pending

The asymptotic and numerical inversion of the Marcum $Q-$function

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

arxiv:1404.0302 v1 · 2014-04-01 · math.CA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z33WAP324VTI3NUXLTOV3EHV4W}

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	2026-05-18T02:55:04.696002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef7603f7ae5668db6975cdd5d90f5e59eaf663e65d4f5d3ffaa6291867e73fe

Aliases

arxiv: 1404.0302 · arxiv_version: 1404.0302v1 · doi: 10.48550/arxiv.1404.0302 · pith_short_12: Z33WAP324VTI · pith_short_16: Z33WAP324VTI3NUX · pith_short_8: Z33WAP32

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/Z33WAP324VTI3NUXLTOV3EHV4W \
  | 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: cef7603f7ae5668db6975cdd5d90f5e59eaf663e65d4f5d3ffaa6291867e73fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b09917d0fef8d843a17cb871ecea12c90425a563aff4e2b8d1dab57ee0e96b8c",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-01T16:33:41Z",
    "title_canon_sha256": "484d4eaa999be8d0d8ab43a4206b7fbe498768be31c4081cfdac151469cafe00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0302",
    "kind": "arxiv",
    "version": 1
  }
}