Pith Number

pith:KXMFXV4Y

pith:2014:KXMFXV4Y7XRMAL35QEPDCJN4S7

not attested not anchored not stored refs pending

Uniform approximation and explicit estimates for the prolate spheroidal wave functions

Abderrazek Karoui, Aline Bonami

arxiv:1405.3676 v2 · 2014-05-14 · 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{KXMFXV4Y7XRMAL35QEPDCJN4S7}

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	2026-05-18T00:45:16.677989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d85bd798fde2c02f7d811e3125bc97c428288d00494ffd197d8d112c0f4f61

Aliases

arxiv: 1405.3676 · arxiv_version: 1405.3676v2 · doi: 10.48550/arxiv.1405.3676 · pith_short_12: KXMFXV4Y7XRM · pith_short_16: KXMFXV4Y7XRMAL35 · pith_short_8: KXMFXV4Y

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/KXMFXV4Y7XRMAL35QEPDCJN4S7 \
  | 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: 55d85bd798fde2c02f7d811e3125bc97c428288d00494ffd197d8d112c0f4f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bba369649f840947e5f6208aadad783ae3694cadb1a1b424fb39afc07a6d595",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-14T20:24:32Z",
    "title_canon_sha256": "060e4e8e90b2aaed72e3f90189abb0b41f8fce0b2f511a168f34358e88b5f6d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3676",
    "kind": "arxiv",
    "version": 2
  }
}