Pith Number

pith:CURPFZ5K

pith:2019:CURPFZ5KVUHCCXGP4LLJKASIHV

not attested not anchored not stored refs pending

The Laguerre calculus on the nilpotent Lie groups of step two

Der-Chen Chang, Irina Markina, Wei Wang

arxiv:1901.06513 v1 · 2019-01-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CURPFZ5KVUHCCXGP4LLJKASIHV}

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	2026-05-17T23:55:50.038058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1522f2e7aaad0e215ccfe2d69502483d6acc7927de698424c4daafb0b6e7a192

Aliases

arxiv: 1901.06513 · arxiv_version: 1901.06513v1 · doi: 10.48550/arxiv.1901.06513 · pith_short_12: CURPFZ5KVUHC · pith_short_16: CURPFZ5KVUHCCXGP · pith_short_8: CURPFZ5K

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/CURPFZ5KVUHCCXGP4LLJKASIHV \
  | 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: 1522f2e7aaad0e215ccfe2d69502483d6acc7927de698424c4daafb0b6e7a192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ca556a507bba150888b9a8f18405e12e0c4349b03009d61c26fbc14429cd25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-19T12:38:06Z",
    "title_canon_sha256": "78427732847bb09c5e368ddbb71328e3073f6111fa8e3a1e760ef402853e1d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06513",
    "kind": "arxiv",
    "version": 1
  }
}