Pith Number

pith:OKVG7OGE

pith:2015:OKVG7OGEFMQME7PKYXBKJPIUZP

not attested not anchored not stored refs pending

Uniform asymptotic approximations for the Lam\'{e} and Mathieu functions and their respective eigenvalues with a large parameter

Adri B. Olde Daalhuis, Karen Ogilvie

arxiv:1507.04981 v3 · 2015-07-17 · 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{OKVG7OGEFMQME7PKYXBKJPIUZP}

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	2026-05-18T01:36:06.739025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72aa6fb8c42b20c27deac5c2a4bd14cbc9aa80dd83b644870de0f1aa90d89a05

Aliases

arxiv: 1507.04981 · arxiv_version: 1507.04981v3 · doi: 10.48550/arxiv.1507.04981 · pith_short_12: OKVG7OGEFMQM · pith_short_16: OKVG7OGEFMQME7PK · pith_short_8: OKVG7OGE

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/OKVG7OGEFMQME7PKYXBKJPIUZP \
  | 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: 72aa6fb8c42b20c27deac5c2a4bd14cbc9aa80dd83b644870de0f1aa90d89a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1ceeaa97883b266d14bbdc47f1810c7a679ccd35628f90441b6624d18bfff4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-17T14:24:12Z",
    "title_canon_sha256": "99a1e297fa3a9979f44177d9d2d7191998012e19bcac4262544b4fb8be9e723b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04981",
    "kind": "arxiv",
    "version": 3
  }
}