Pith Number

pith:UUFLT4YZ

pith:2002:UUFLT4YZHEDF55X2BHY4GFSO37

not attested not anchored not stored refs pending

The discretised harmonic oscillator: Mathieu functions and a new class of generalised Hermite polynomials

M. Aunola

arxiv:math-ph/0207038 v6 · 2002-07-26 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUFLT4YZHEDF55X2BHY4GFSO37}

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	2026-05-18T01:38:34.127406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a50ab9f31939065ef6fa09f1c3164edff9794752305c35a5ccc45e62dd722e33

Aliases

arxiv: math-ph/0207038 · arxiv_version: math-ph/0207038v6 · doi: 10.48550/arxiv.math-ph/0207038 · pith_short_12: UUFLT4YZHEDF · pith_short_16: UUFLT4YZHEDF55X2 · pith_short_8: UUFLT4YZ

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/UUFLT4YZHEDF55X2BHY4GFSO37 \
  | 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: a50ab9f31939065ef6fa09f1c3164edff9794752305c35a5ccc45e62dd722e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f0c51122966d7d341682b41535962ea655b084c26241df99762e29c0ff55def",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-07-26T12:27:25Z",
    "title_canon_sha256": "b53f0eac038f6c8c8f14435c2910a42dfe2352c9ee86b7b62328ef20b6dbaa1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0207038",
    "kind": "arxiv",
    "version": 6
  }
}