Pith Number

pith:SZ75RIBM

pith:2015:SZ75RIBMBYVKBJLNTC3GPZP3Y2

not attested not anchored not stored refs pending

Useful Results for Computing the Nuttall${-}Q$ and Incomplete Toronto Special Functions

Hung Dinh Quoc, Khuong Ho- Van, Paschalis C. Sofotasios, Tuan Dang Anh

arxiv:1505.03447 v1 · 2015-05-13 · 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{SZ75RIBMBYVKBJLNTC3GPZP3Y2}

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	2026-05-18T02:12:01.312252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967fd8a02c0e2aa0a56d98b667e5fbc6b9ca46a799092a02c6a3b7b323b911a7

Aliases

arxiv: 1505.03447 · arxiv_version: 1505.03447v1 · doi: 10.48550/arxiv.1505.03447 · pith_short_12: SZ75RIBMBYVK · pith_short_16: SZ75RIBMBYVKBJLN · pith_short_8: SZ75RIBM

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/SZ75RIBMBYVKBJLNTC3GPZP3Y2 \
  | 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: 967fd8a02c0e2aa0a56d98b667e5fbc6b9ca46a799092a02c6a3b7b323b911a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f1b55c5aba43bcd663cea1694de049562e16aeb52ca592eb2ff13668730c654",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-13T16:19:36Z",
    "title_canon_sha256": "ceb1009a694ccae2a3d7dfa8d2b59f1bea3530981e0e2480e4dd90b31ba660a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03447",
    "kind": "arxiv",
    "version": 1
  }
}