Pith Number

pith:4XCWP2PM

pith:2013:4XCWP2PMFJ33QME5SKEVR5XXWW

not attested not anchored not stored refs pending

The Bohr radius of the $n$-dimensional polydisk is equivalent to $\sqrt{\frac{\log n}{n}}$

D. Pellegrino, F. Bayart, J. Seoane-Sepulveda

arxiv:1310.2834 v2 · 2013-10-10 · 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{4XCWP2PMFJ33QME5SKEVR5XXWW}

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	2026-05-18T01:31:30.388229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c567e9ec2a77b8309d928958f6f7b583814233542d13ba5451f1dbbfdf52cf

Aliases

arxiv: 1310.2834 · arxiv_version: 1310.2834v2 · doi: 10.48550/arxiv.1310.2834 · pith_short_12: 4XCWP2PMFJ33 · pith_short_16: 4XCWP2PMFJ33QME5 · pith_short_8: 4XCWP2PM

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/4XCWP2PMFJ33QME5SKEVR5XXWW \
  | 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: e5c567e9ec2a77b8309d928958f6f7b583814233542d13ba5451f1dbbfdf52cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "904e00ef400b01fcb69cf24f68de03d7990aa23304f05dde2018e9d388e9ef1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-10T14:26:15Z",
    "title_canon_sha256": "33ea9def2b481c63d1f19d8b353d534383b7cbb5fd5a408cbc2c85b0a1199fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2834",
    "kind": "arxiv",
    "version": 2
  }
}