Pith Number

pith:DON5TTYG

pith:2023:DON5TTYGYX5O2U7ZUBDWPOOMEX

not attested not anchored not stored refs pending

An Analysis of the Johnson-Lindenstrauss Lemma with the Bivariate Gamma Distribution

Alec M. Dunton, Benjamin W. Priest, Jason Bernstein

arxiv:2305.17123 v2 · 2023-05-26 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DON5TTYGYX5O2U7ZUBDWPOOMEX}

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	2026-07-05T08:43:05.013822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b9bd9cf06c5faed53f9a04767b9cc25e9b65ab9b8b0b24ae5b8d91ea7fb7805

Aliases

arxiv: 2305.17123 · arxiv_version: 2305.17123v2 · doi: 10.48550/arxiv.2305.17123 · pith_short_12: DON5TTYGYX5O · pith_short_16: DON5TTYGYX5O2U7Z · pith_short_8: DON5TTYG

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/DON5TTYGYX5O2U7ZUBDWPOOMEX \
  | 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: 1b9bd9cf06c5faed53f9a04767b9cc25e9b65ab9b8b0b24ae5b8d91ea7fb7805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69fea749c962dff87d19e2a26009ed7e5801e1c9b4618ee16c9b0ba753000583",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-05-26T17:46:23Z",
    "title_canon_sha256": "e5be77cdbf10c914ee989a2ac8005f0b21e8d0f49324ec86482401a01628afb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.17123",
    "kind": "arxiv",
    "version": 2
  }
}