Pith Number

pith:LQPHB2BW

pith:2008:LQPHB2BWLV42POYEESFKL6JMBM

not attested not anchored not stored refs pending

Convolution-Dominated Operators on Discrete Groups

Gero Fendler, Karlheinz Gr\"ochenig, Michael Leinert

arxiv:0801.0385 v1 · 2008-01-02 · math.FA · 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{LQPHB2BWLV42POYEESFKL6JMBM}

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	2026-05-18T04:32:56.222859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1e70e8365d79a7bb04248aa5f92c0b300102c5bc1d7e271a805028d71114c1

Aliases

arxiv: 0801.0385 · arxiv_version: 0801.0385v1 · doi: 10.48550/arxiv.0801.0385 · pith_short_12: LQPHB2BWLV42 · pith_short_16: LQPHB2BWLV42POYE · pith_short_8: LQPHB2BW

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/LQPHB2BWLV42POYEESFKL6JMBM \
  | 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: 5c1e70e8365d79a7bb04248aa5f92c0b300102c5bc1d7e271a805028d71114c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01bc4028b231985337b49b869992621516f3116c81ac3c6256ca69091af6affa",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2008-01-02T12:55:05Z",
    "title_canon_sha256": "fcebd9909f23e99350e6ee2e53770f0b87c8ef6d671204d6c34f90a6dc6d098c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0385",
    "kind": "arxiv",
    "version": 1
  }
}