Pith Number

pith:YZAG256R

pith:2012:YZAG256RFF3ECUMK7Q44URRNGV

not attested not anchored not stored refs pending

An Approximation of the First Order Marcum $Q$-Function with Application to Network Connectivity Analysis

Carl Dettmann, Justin Coon, Mohammud Bocus

arxiv:1210.2067 v3 · 2012-10-07 · 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{YZAG256RFF3ECUMK7Q44URRNGV}

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	2026-05-18T03:36:06.265246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6406d77d1297641518afc39ca462d35755a0172876111804f64345c90f406c1

Aliases

arxiv: 1210.2067 · arxiv_version: 1210.2067v3 · doi: 10.48550/arxiv.1210.2067 · pith_short_12: YZAG256RFF3E · pith_short_16: YZAG256RFF3ECUMK · pith_short_8: YZAG256R

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/YZAG256RFF3ECUMK7Q44URRNGV \
  | 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: c6406d77d1297641518afc39ca462d35755a0172876111804f64345c90f406c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d453d4e4847e587d5cd384700153d6a5fcfabcfbf4cbed8f2200c8ae5543cc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-10-07T15:29:59Z",
    "title_canon_sha256": "9efb5feeb751034c45c3562a86c4044465cf58b98fba0f25161d1b5d2732f233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2067",
    "kind": "arxiv",
    "version": 3
  }
}