Pith Number

pith:PAHPYHMO

pith:2017:PAHPYHMOEWG3KNES423GC2TCJ4

not attested not anchored not stored refs pending

QHJ route to multi-indexed exceptional Laguerre polynomials and corresponding rational potentials

S. Sree Ranjani

arxiv:1705.07682 v3 · 2017-05-22 · 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{PAHPYHMOEWG3KNES423GC2TCJ4}

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	2026-05-18T00:30:44.724532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780efc1d8e258db53492e6b6616a624f1467bbf04a0efa55cbe1f27f479b5a4d

Aliases

arxiv: 1705.07682 · arxiv_version: 1705.07682v3 · doi: 10.48550/arxiv.1705.07682 · pith_short_12: PAHPYHMOEWG3 · pith_short_16: PAHPYHMOEWG3KNES · pith_short_8: PAHPYHMO

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/PAHPYHMOEWG3KNES423GC2TCJ4 \
  | 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: 780efc1d8e258db53492e6b6616a624f1467bbf04a0efa55cbe1f27f479b5a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47c40453285703179f3c64c867330708c62b80d130879d40e0783eba62ab4b7",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-22T11:40:17Z",
    "title_canon_sha256": "99c4a3f9f7a7d1bac4a9da049aa9d2ed22e0dc5a886fe8b1c253d30318bd65fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07682",
    "kind": "arxiv",
    "version": 3
  }
}