Pith Number

pith:KRDYBDML

pith:2008:KRDYBDMLGSJOAWULC7HELFMF3R

not attested not anchored not stored refs pending

Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere

Michael Ruzhansky, Ville Turunen

arxiv:0812.3961 v1 · 2008-12-20 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRDYBDMLGSJOAWULC7HELFMF3R}

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	2026-05-18T03:02:44.786122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5447808d8b3492e05a8b17ce459585dc5cf95eda9d1982de492fec422788e184

Aliases

arxiv: 0812.3961 · arxiv_version: 0812.3961v1 · doi: 10.48550/arxiv.0812.3961 · pith_short_12: KRDYBDMLGSJO · pith_short_16: KRDYBDMLGSJOAWUL · pith_short_8: KRDYBDML

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/KRDYBDMLGSJOAWULC7HELFMF3R \
  | 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: 5447808d8b3492e05a8b17ce459585dc5cf95eda9d1982de492fec422788e184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02c7df2364b00be3468a013232d0647152faa850337a947477142d4a75a655d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-12-20T12:22:39Z",
    "title_canon_sha256": "e2bd9a0d00720aabc030e7d447febab65e156f47a4da7c06bd4839222a070f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3961",
    "kind": "arxiv",
    "version": 1
  }
}