Pith Number

pith:4IW3CFXN

pith:2010:4IW3CFXNXEZ2HKFTAKOLJGBRBK

not attested not anchored not stored refs pending

The generalized Marcum $Q-$function: an orthogonal polynomial approach

\'Arp\'ad Baricz, Szil\'ard Andr\'as, Yin Sun

arxiv:1010.3348 v3 · 2010-10-16 · math.CA · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IW3CFXNXEZ2HKFTAKOLJGBRBK}

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	2026-05-18T04:16:02.295209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22db116edb933a3a8b3029cb498310abd10c9d6e5e546489b864409d2e2273b

Aliases

arxiv: 1010.3348 · arxiv_version: 1010.3348v3 · doi: 10.48550/arxiv.1010.3348 · pith_short_12: 4IW3CFXNXEZ2 · pith_short_16: 4IW3CFXNXEZ2HKFT · pith_short_8: 4IW3CFXN

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/4IW3CFXNXEZ2HKFTAKOLJGBRBK \
  | 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: e22db116edb933a3a8b3029cb498310abd10c9d6e5e546489b864409d2e2273b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70866b4ff7ad718255ed4bcc23dcb006daeba03c86cbb3c1d41b7443bd189302",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-16T12:53:38Z",
    "title_canon_sha256": "2ced8f2c6c13797181a9104de769335d7ddf939b2555531db6f14885333dfa64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3348",
    "kind": "arxiv",
    "version": 3
  }
}