Pith Number

pith:V6BQMJRP

pith:2013:V6BQMJRP6LBCUGNRBUGQ3L6JTH

not attested not anchored not stored refs pending

Computation of the Marcum Q-function

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

arxiv:1311.0681 v1 · 2013-11-04 · cs.MS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6BQMJRP6LBCUGNRBUGQ3L6JTH}

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	2026-05-18T03:08:05.165425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af8306262ff2c22a19b10d0d0dafc999dcd668c359fcd676ef716fe0a2f400b8

Aliases

arxiv: 1311.0681 · arxiv_version: 1311.0681v1 · doi: 10.48550/arxiv.1311.0681 · pith_short_12: V6BQMJRP6LBC · pith_short_16: V6BQMJRP6LBCUGNR · pith_short_8: V6BQMJRP

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/V6BQMJRP6LBCUGNRBUGQ3L6JTH \
  | 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: af8306262ff2c22a19b10d0d0dafc999dcd668c359fcd676ef716fe0a2f400b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa629799350ad436afc601d460bd726e5589d67ec535f68a15add8f202bb93b4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2013-11-04T12:50:09Z",
    "title_canon_sha256": "42efbdc1fae11d5ea3958bded345c66b5f600130bea4cc51f5315f9421b435a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0681",
    "kind": "arxiv",
    "version": 1
  }
}