Pith Number

pith:PSP2EZTH

pith:2015:PSP2EZTH7RZGRLXNUCKIBBJPL4

not attested not anchored not stored refs pending

Solutions to Integrals Involving the Marcum Q-Function and Applications

Bayan S. Sharif, George K. Karagiannidis, Paschalis C. Sofotasios, Sami Muhaidat

arxiv:1505.02368 v1 · 2015-05-10 · 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{PSP2EZTH7RZGRLXNUCKIBBJPL4}

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	2026-07-05T06:31:47.921957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c9fa26667fc7268aeeda09480852f5f002fa309564b95fd3d884678cf2bcc83

Aliases

arxiv: 1505.02368 · arxiv_version: 1505.02368v1 · doi: 10.48550/arxiv.1505.02368 · pith_short_12: PSP2EZTH7RZG · pith_short_16: PSP2EZTH7RZGRLXN · pith_short_8: PSP2EZTH

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/PSP2EZTH7RZGRLXNUCKIBBJPL4 \
  | 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: 7c9fa26667fc7268aeeda09480852f5f002fa309564b95fd3d884678cf2bcc83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c67dc3960cd3daef901b05349988f85d42a4fbeb19e7d2ad0f677e8a8182dca",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-10T10:59:17Z",
    "title_canon_sha256": "fd1eaef481d220299a8a82fdfee97aa5e9daa958eaf31bf07efb2db4a19dc858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02368",
    "kind": "arxiv",
    "version": 1
  }
}