Pith Number

pith:VFJ2QL3X

pith:2026:VFJ2QL3XWVPGQTSGHFMMW373IE

not attested not anchored not stored refs pending

The $T$-strong duals of $L^1(T)$ and $L^\infty(T)$

Anke Kalauch, Bruce A. Watson, Florian Boisen, Janko Stennder, Wen-Chi Kuo

arxiv:2605.29650 v1 · 2026-05-28 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFJ2QL3XWVPGQTSGHFMMW373IE}

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	2026-05-29T01:05:53.044526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a953a82f77b55e684e463958cb6ffb4127ef3857600a3378e9f79c4316a7930f

Aliases

arxiv: 2605.29650 · arxiv_version: 2605.29650v1 · doi: 10.48550/arxiv.2605.29650 · pith_short_12: VFJ2QL3XWVPG · pith_short_16: VFJ2QL3XWVPGQTSG · pith_short_8: VFJ2QL3X

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/VFJ2QL3XWVPGQTSGHFMMW373IE \
  | 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: a953a82f77b55e684e463958cb6ffb4127ef3857600a3378e9f79c4316a7930f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0898a15a593bee6132c137876bd84310bcb03c1b85e5b83682186e14353e4c71",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-28T09:15:03Z",
    "title_canon_sha256": "b1812f0fdf3e7df99d0fc849e677afb99d9a832b31e9eac624649fd3fda1faa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29650",
    "kind": "arxiv",
    "version": 1
  }
}