Pith Number

pith:2S3W7OKJ

pith:2009:2S3W7OKJZVIY2QQJQ2JGUSGYUU

not attested not anchored not stored refs pending

Almost-Euclidean subspaces of $\ell_1^N$ via tensor products: a simple approach to randomness reduction

Piotr Indyk, Stanislaw Szarek

arxiv:1001.0041 v2 · 2009-12-30 · math.MG · cs.CC · 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{2S3W7OKJZVIY2QQJQ2JGUSGYUU}

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	2026-05-18T04:41:05.148451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b76fb949cd518d420986926a48d8a512d321fca3f9c2d76933d44f13475739

Aliases

arxiv: 1001.0041 · arxiv_version: 1001.0041v2 · doi: 10.48550/arxiv.1001.0041 · pith_short_12: 2S3W7OKJZVIY · pith_short_16: 2S3W7OKJZVIY2QQJ · pith_short_8: 2S3W7OKJ

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/2S3W7OKJZVIY2QQJQ2JGUSGYUU \
  | 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: d4b76fb949cd518d420986926a48d8a512d321fca3f9c2d76933d44f13475739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1c7f3bd10b9c4dc4895f350d33d513eeed7be7f3afb2d78e3198c3f898ffc2",
    "cross_cats_sorted": [
      "cs.CC",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-12-30T22:48:35Z",
    "title_canon_sha256": "b022ef4c8cba08ae81851156fc5a99920d04c45784d12de6c0126b8e0fa13203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0041",
    "kind": "arxiv",
    "version": 2
  }
}