Pith Number

pith:4AMTCIN6

pith:2001:4AMTCIN6ALOXGKAST46B6MOUBP

not attested not anchored not stored refs pending

Noncommutative extensions of the Fourier transform and its logarithm

Romuald Lenczewski

arxiv:math/0112019 v1 · 2001-12-03 · math.PR · 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{4AMTCIN6ALOXGKAST46B6MOUBP}

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	2026-05-18T02:46:38.140521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0193121be02dd7328129f3c1f31d40bd52ba4064cdbc3fc5acd5e36b4ff025f

Aliases

arxiv: math/0112019 · arxiv_version: math/0112019v1 · doi: 10.48550/arxiv.math/0112019 · pith_short_12: 4AMTCIN6ALOX · pith_short_16: 4AMTCIN6ALOXGKAS · pith_short_8: 4AMTCIN6

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/4AMTCIN6ALOXGKAST46B6MOUBP \
  | 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: e0193121be02dd7328129f3c1f31d40bd52ba4064cdbc3fc5acd5e36b4ff025f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b45468c3fca2584b12b8869f11f1187e5b7b4300c51980007ce8ac9d2e984c1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-12-03T17:36:01Z",
    "title_canon_sha256": "c8bd24b7fb7aef0698c820d1a3483e4719b267867613c40444bddd0300abaa77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112019",
    "kind": "arxiv",
    "version": 1
  }
}