Pith Number

pith:2WCZIHV3

pith:2017:2WCZIHV3X6HU5L3ZQHX5LYHGMT

not attested not anchored not stored refs pending

Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions

A. Gil, J. Segura, T. M. Dunster

arxiv:1705.01190 v1 · 2017-05-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WCZIHV3X6HU5L3ZQHX5LYHGMT}

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	2026-05-18T00:45:05.718224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d585941ebbbf8f4eaf7981efd5e0e664d224285969bae6302cc5b281e847ee7a

Aliases

arxiv: 1705.01190 · arxiv_version: 1705.01190v1 · doi: 10.48550/arxiv.1705.01190 · pith_short_12: 2WCZIHV3X6HU · pith_short_16: 2WCZIHV3X6HU5L3Z · pith_short_8: 2WCZIHV3

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/2WCZIHV3X6HU5L3ZQHX5LYHGMT \
  | 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: d585941ebbbf8f4eaf7981efd5e0e664d224285969bae6302cc5b281e847ee7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eacb2fc2585f3c3768d6a841605c23210f684b4b05f6f5f77d8b470cbd09a9a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-02T22:26:48Z",
    "title_canon_sha256": "7191b0c0855808802aa715cb3628a8029f76d3a4815146da90149a71d3240df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01190",
    "kind": "arxiv",
    "version": 1
  }
}