Pith Number

pith:FHNOPWU5

pith:2004:FHNOPWU56YR6X6UYCSI7E5TVB6

not attested not anchored not stored refs pending

Small ball probability and Dvoretzky theorem

Bo'az Klartag, Roman Vershynin

arxiv:math/0410001 v1 · 2004-09-30 · 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{FHNOPWU56YR6X6UYCSI7E5TVB6}

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	2026-05-18T00:54:09.280604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29dae7da9df623ebfa981491f276750f8bbcbf6722418ed6179f52615e09b24a

Aliases

arxiv: math/0410001 · arxiv_version: math/0410001v1 · doi: 10.48550/arxiv.math/0410001 · pith_short_12: FHNOPWU56YR6 · pith_short_16: FHNOPWU56YR6X6UY · pith_short_8: FHNOPWU5

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/FHNOPWU56YR6X6UYCSI7E5TVB6 \
  | 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: 29dae7da9df623ebfa981491f276750f8bbcbf6722418ed6179f52615e09b24a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac34d37d13d579ec3b5228cd62091cf352500e95c40aa25523cc53e145e7d8b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2004-09-30T20:14:50Z",
    "title_canon_sha256": "6ea2efdc068cc961c07ee37a6096c171acd53235585e482aa0a07576da4c964b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410001",
    "kind": "arxiv",
    "version": 1
  }
}