Pith Number

pith:MXXNJZUL

pith:2024:MXXNJZUL3JABIGEFXZ5KCFDXD5

not attested not anchored not stored refs pending

Asymptotic theory of Schatten classes

Joscha Prochno, Michael Juhos, Zakhar Kabluchko

arxiv:2404.07145 v1 · 2024-04-10 · math.FA · math.OA · 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{MXXNJZUL3JABIGEFXZ5KCFDXD5}

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.

Cited by

1 paper in Pith

Limit Theorems for the Volume of Random Projections and Sections of $\ell_p^N$-balls

Receipt and verification

First computed	2026-07-05T08:06:35.917217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65eed4e68bda40141885be7aa114771f4118609cf761e338dbb39bf49ee4d214

Aliases

arxiv: 2404.07145 · arxiv_version: 2404.07145v1 · doi: 10.48550/arxiv.2404.07145 · pith_short_12: MXXNJZUL3JAB · pith_short_16: MXXNJZUL3JABIGEF · pith_short_8: MXXNJZUL

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/MXXNJZUL3JABIGEFXZ5KCFDXD5 \
  | 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: 65eed4e68bda40141885be7aa114771f4118609cf761e338dbb39bf49ee4d214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0340728009a235b08181018d6c63ac4376ea7ba17e3fa63402c206be08b40c1e",
    "cross_cats_sorted": [
      "math.OA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-04-10T16:22:47Z",
    "title_canon_sha256": "0cc583380719f21696b0ebc07d3e97a98f8f180e66f534c918d724b3d1ba60c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.07145",
    "kind": "arxiv",
    "version": 1
  }
}