Pith Number

pith:KOK5S5N2

pith:2018:KOK5S5N2LCHYFCM6UA3CKAM4AO

not attested not anchored not stored refs pending

A Note on the Generalized and Universal Associated Legendre Equations

Keegan L. A. Kirk, Kyle R. Bryenton, Nasser Saad

arxiv:1806.10237 v1 · 2018-06-26 · 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{KOK5S5N2LCHYFCM6UA3CKAM4AO}

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	2026-05-18T00:09:24.279104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5395d975ba588f82899ea03625019c038478aa33f6fa4b3898ae17d1edda8f47

Aliases

arxiv: 1806.10237 · arxiv_version: 1806.10237v1 · doi: 10.48550/arxiv.1806.10237 · pith_short_12: KOK5S5N2LCHY · pith_short_16: KOK5S5N2LCHYFCM6 · pith_short_8: KOK5S5N2

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/KOK5S5N2LCHYFCM6UA3CKAM4AO \
  | 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: 5395d975ba588f82899ea03625019c038478aa33f6fa4b3898ae17d1edda8f47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad454d14fbe2b71a8becaf4524d611b8c217ad0a92cd1bc0c373358027fe3860",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-26T22:56:18Z",
    "title_canon_sha256": "2706bb29f82de7b795adaf60145f5b18197301e00f783a00c8443e4f088ad8e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10237",
    "kind": "arxiv",
    "version": 1
  }
}