Pith Number

pith:BXYFNUAQ

pith:2018:BXYFNUAQ2ZSEVMLE44V34ZXKV6

not attested not anchored not stored refs pending

Optimal Bounds for Johnson-Lindenstrauss Transformations

Fiona Knoll, Michael Burr, Shuhong Gao

arxiv:1803.05350 v1 · 2018-03-14 · cs.DM · 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{BXYFNUAQ2ZSEVMLE44V34ZXKV6}

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	2026-05-18T00:21:01.532756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df056d010d6644ab164e72bbe66eaaf861820abdf96a88bef740d78e0d048e7

Aliases

arxiv: 1803.05350 · arxiv_version: 1803.05350v1 · doi: 10.48550/arxiv.1803.05350 · pith_short_12: BXYFNUAQ2ZSE · pith_short_16: BXYFNUAQ2ZSEVMLE · pith_short_8: BXYFNUAQ

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/BXYFNUAQ2ZSEVMLE44V34ZXKV6 \
  | 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: 0df056d010d6644ab164e72bbe66eaaf861820abdf96a88bef740d78e0d048e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c3d2fc212cc90bccd0210912c45b8f3d8072ffbfc025e15341394536724d98",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-03-14T15:22:27Z",
    "title_canon_sha256": "e8dd9660fbab2c53d9664277c99104dec9e1b64af5768c6e90b7bb458405c97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05350",
    "kind": "arxiv",
    "version": 1
  }
}