Pith Number

pith:43RRVYHJ

pith:2010:43RRVYHJRKRRCTI2EC4FDNYUZF

not attested not anchored not stored refs pending

A Derandomized Sparse Johnson-Lindenstrauss Transform

Daniel M. Kane, Jelani Nelson

arxiv:1006.3585 v3 · 2010-06-18 · cs.DS · cs.CC · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43RRVYHJRKRRCTI2EC4FDNYUZF}

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	2026-05-18T04:34:01.379620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e31ae0e98aa3114d1a20b851b714c944af8366d5a68e5c8c24387e4cfc00a9

Aliases

arxiv: 1006.3585 · arxiv_version: 1006.3585v3 · doi: 10.48550/arxiv.1006.3585 · pith_short_12: 43RRVYHJRKRR · pith_short_16: 43RRVYHJRKRRCTI2 · pith_short_8: 43RRVYHJ

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/43RRVYHJRKRRCTI2EC4FDNYUZF \
  | 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: e6e31ae0e98aa3114d1a20b851b714c944af8366d5a68e5c8c24387e4cfc00a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc56c19dcef8a108cb39f0b9c7d9dfb96e15c4644f966da6122587f815143ecb",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-06-18T01:39:18Z",
    "title_canon_sha256": "686a903d1e2cb3f6d8992068e658ffbb0e6bb8bb178c37a55caa0c4f608094ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3585",
    "kind": "arxiv",
    "version": 3
  }
}