Pith Number

pith:FHFZ5LHC

pith:2015:FHFZ5LHCDS2QLL3QWUUPJS2474

not attested not anchored not stored refs pending

Rigorous Asymptotics for the Lam\'e and Mathieu Functions and their Respective Eigenvalues with a Large Parameter

Adri B. Olde Daalhuis, Karen Ogilvie

arxiv:1507.04984 v7 · 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{FHFZ5LHCDS2QLL3QWUUPJS2474}

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	2026-05-18T01:26:09.908136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29cb9eace21cb505af70b528f4cb5cff37f719c8241d61a3e378de0d9ad0c882

Aliases

arxiv: 1507.04984 · arxiv_version: 1507.04984v7 · doi: 10.48550/arxiv.1507.04984 · pith_short_12: FHFZ5LHCDS2Q · pith_short_16: FHFZ5LHCDS2QLL3Q · pith_short_8: FHFZ5LHC

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/FHFZ5LHCDS2QLL3QWUUPJS2474 \
  | 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: 29cb9eace21cb505af70b528f4cb5cff37f719c8241d61a3e378de0d9ad0c882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f4f61b6b345682f9e325c1aa53902d2bcd179652c41741d834dce65e7924e7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-17T14:29:03Z",
    "title_canon_sha256": "5f99983039e1e03f132428d48fefb56d7c52e9be3cb7ecb32fcb6642b3ac6edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04984",
    "kind": "arxiv",
    "version": 7
  }
}