pith. sign in
Pith Number

pith:ZW5W2J5J

pith:2015:ZW5W2J5JK5EQZBZJJW34NLSUW2
not attested not anchored not stored refs pending

Orthogonal polynomials, Laguerre Fock space and quasi-classical asymptotics

Miroslav Englis, S. Twareque Ali

arxiv:1501.04508 v1 · 2015-01-19 · math-ph · math.CV · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZW5W2J5JK5EQZBZJJW34NLSUW2}

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 2026-05-18T02:29:08.847360Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cdbb6d27a957490c87294db7c6ae54b6abaad36225a215bbe4a3e110c639401c

Aliases

arxiv: 1501.04508 · arxiv_version: 1501.04508v1 · doi: 10.48550/arxiv.1501.04508 · pith_short_12: ZW5W2J5JK5EQ · pith_short_16: ZW5W2J5JK5EQZBZJ · pith_short_8: ZW5W2J5J
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZW5W2J5JK5EQZBZJJW34NLSUW2 \
  | 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: cdbb6d27a957490c87294db7c6ae54b6abaad36225a215bbe4a3e110c639401c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6dcc32cb7908370cb035b2fd7cc33c11115ef8d9292ffd22bbea0f50ee8985a0",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-19T14:52:27Z",
    "title_canon_sha256": "0198898f8925ab4bf5abca6fac92e38548474a3314a17a6359cda744a4511a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04508",
    "kind": "arxiv",
    "version": 1
  }
}