Pith Number

pith:NFRRRNBK

pith:2012:NFRRRNBKW4QRF6ZW4ZZJE52LA7

not attested not anchored not stored refs pending

Ladder Operators for Lam\'e Spheroconal Harmonic Polynomials

Eugenio Ley-Koo, Ricardo M\'endez-Fragoso

arxiv:1210.4632 v1 · 2012-10-17 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFRRRNBKW4QRF6ZW4ZZJE52LA7}

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	2026-05-18T03:42:56.596831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

696318b42ab72112fb36e67292774b07fc971be52657df04e732db46c43b5e39

Aliases

arxiv: 1210.4632 · arxiv_version: 1210.4632v1 · doi: 10.48550/arxiv.1210.4632 · pith_short_12: NFRRRNBKW4QR · pith_short_16: NFRRRNBKW4QRF6ZW · pith_short_8: NFRRRNBK

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/NFRRRNBKW4QRF6ZW4ZZJE52LA7 \
  | 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: 696318b42ab72112fb36e67292774b07fc971be52657df04e732db46c43b5e39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6d98ba4ad3782f24547652dbf398c5b8c96cc07487a4c8c987b101547e0a01",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-17T05:56:35Z",
    "title_canon_sha256": "8395875960d18a083d2391a8416cff81a75222724f167be06e0b83f7806ba3a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4632",
    "kind": "arxiv",
    "version": 1
  }
}