Pith Number

pith:222UGSLM

pith:2010:222UGSLMYHOCRD6EVCNISBQZMJ

not attested not anchored not stored refs pending

Almost Optimal Explicit Johnson-Lindenstrauss Transformations

Raghu Meka

arxiv:1011.6397 v2 · 2010-11-29 · cs.DS · cs.CC · 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{222UGSLMYHOCRD6EVCNISBQZMJ}

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	2026-05-18T02:23:17.159531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b543496cc1dc288fc4a89a890619624f260b40ff34c2ccc2418783b112c64f

Aliases

arxiv: 1011.6397 · arxiv_version: 1011.6397v2 · doi: 10.48550/arxiv.1011.6397 · pith_short_12: 222UGSLMYHOC · pith_short_16: 222UGSLMYHOCRD6E · pith_short_8: 222UGSLM

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/222UGSLMYHOCRD6EVCNISBQZMJ \
  | 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: d6b543496cc1dc288fc4a89a890619624f260b40ff34c2ccc2418783b112c64f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "547c076a71e41e8c883e25f136327f8363cefdb92953f6005029743b0423d5ad",
    "cross_cats_sorted": [
      "cs.CC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-11-29T21:42:10Z",
    "title_canon_sha256": "332110b231198e74958fc9960bf231800b02d8786a2cd86ae3ebac82dd292d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6397",
    "kind": "arxiv",
    "version": 2
  }
}