Pith Number

pith:DKLWWLCD

pith:1999:DKLWWLCDZ74CTJ3Z5FU46QJY5N

not attested not anchored not stored refs pending

Variants of the Maurey-Rosenthal theorem for quasi K"othe function spaces

Andreas Defant

arxiv:math/9908111 v1 · 1999-08-20 · 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{DKLWWLCDZ74CTJ3Z5FU46QJY5N}

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	2026-05-18T01:05:32.628181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a976b2c43cff829a779e969cf4138eb4dfea94b05783e50aa486b4d523bb381

Aliases

arxiv: math/9908111 · arxiv_version: math/9908111v1 · doi: 10.48550/arxiv.math/9908111 · pith_short_12: DKLWWLCDZ74C · pith_short_16: DKLWWLCDZ74CTJ3Z · pith_short_8: DKLWWLCD

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/DKLWWLCDZ74CTJ3Z5FU46QJY5N \
  | 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: 1a976b2c43cff829a779e969cf4138eb4dfea94b05783e50aa486b4d523bb381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08511cefb426faba88f94adaa938e37c659898af79f14b24449b3f04586b3d6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1999-08-20T09:57:51Z",
    "title_canon_sha256": "4345929af1491a98d928233e635edf1cadea1cd08c1e00a1235c175ebb2eaffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9908111",
    "kind": "arxiv",
    "version": 1
  }
}