Pith Number

pith:NKPPRWAA

pith:2023:NKPPRWAA3UFGVZC3KN4KMQJ5GN

not attested not anchored not stored refs pending

A note on critical intersections of classical and Schatten $p$-balls

Christoph Th\"ale, Mathias Sonnleitner

arxiv:2308.10635 v2 · 2023-08-21 · math.PR · 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{NKPPRWAA3UFGVZC3KN4KMQJ5GN}

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	2026-07-05T10:06:01.467437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9ef8d800dd0a6ae45b5378a6413d334193691ed7faa3b8158c0f027c291c73

Aliases

arxiv: 2308.10635 · arxiv_version: 2308.10635v2 · doi: 10.48550/arxiv.2308.10635 · pith_short_12: NKPPRWAA3UFG · pith_short_16: NKPPRWAA3UFGVZC3 · pith_short_8: NKPPRWAA

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/NKPPRWAA3UFGVZC3KN4KMQJ5GN \
  | 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: 6a9ef8d800dd0a6ae45b5378a6413d334193691ed7faa3b8158c0f027c291c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6882478dffd04236877519f22b176ab10df31c61686c08dfefbb8165f8b81b4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-08-21T11:14:05Z",
    "title_canon_sha256": "6d1b7d1ecbe32fe839bf32721eaa63dbd3d9bd01d94165915e702b8f82c5c441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.10635",
    "kind": "arxiv",
    "version": 2
  }
}