Pith Number

pith:KMG2QQTN

pith:1993:KMG2QQTNRUNOWMQWSWEVTR5IPP

not attested not anchored not stored refs pending

The Fourier transform of order statistics with applications to Lorentz spaces

Alexander Koldobsky, Stephen J. Dilworth

arxiv:math/9311208 v1 · 1993-11-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMG2QQTNRUNOWMQWSWEVTR5IPP}

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	2026-05-18T01:05:51.798987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530da8426d8d1aeb3216958959c7a87bfa49ea4b5ab15aa898746afd466ad92d

Aliases

arxiv: math/9311208 · arxiv_version: math/9311208v1 · doi: 10.48550/arxiv.math/9311208 · pith_short_12: KMG2QQTNRUNO · pith_short_16: KMG2QQTNRUNOWMQW · pith_short_8: KMG2QQTN

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/KMG2QQTNRUNOWMQWSWEVTR5IPP \
  | 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: 530da8426d8d1aeb3216958959c7a87bfa49ea4b5ab15aa898746afd466ad92d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e16b87b67b45bb87cb5cd3bbff88ec752d1417d518619b83d8e06fc9914f5b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1993-11-17T18:36:11Z",
    "title_canon_sha256": "30f299e54d1dbf395be6c0d13ad9630adbc2142802b2daa030d2e3a77b11e84a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9311208",
    "kind": "arxiv",
    "version": 1
  }
}