Pith Number

pith:4LWICYQ3

pith:2011:4LWICYQ3ZRX7PIICEG6HXVPDUR

not attested not anchored not stored refs pending

Wavelets from Laguerre polynomials and Toeplitz-type operators

Ondrej Hutn\'ik

arxiv:1102.3707 v2 · 2011-02-17 · math.FA · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LWICYQ3ZRX7PIICEG6HXVPDUR}

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	2026-05-18T03:51:23.901230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ec81621bcc6ff7a10221bc7bd5e3a46cc5a9f8a18759df7c26ec84c1504d2f

Aliases

arxiv: 1102.3707 · arxiv_version: 1102.3707v2 · doi: 10.48550/arxiv.1102.3707 · pith_short_12: 4LWICYQ3ZRX7 · pith_short_16: 4LWICYQ3ZRX7PIIC · pith_short_8: 4LWICYQ3

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/4LWICYQ3ZRX7PIICEG6HXVPDUR \
  | 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: e2ec81621bcc6ff7a10221bc7bd5e3a46cc5a9f8a18759df7c26ec84c1504d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e95d0a5efbe573a53d064c2adf951bd84b0bceb61a6fab88103b0e0e665e5e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-17T21:44:59Z",
    "title_canon_sha256": "9858b5b9bef4263629f022f28ae1f3c8c0b0b25ee0151382f8e13463ad38bd20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3707",
    "kind": "arxiv",
    "version": 2
  }
}