Pith Number

pith:PARNEBVW

pith:2019:PARNEBVWA3FXLQQO7YDS63ZGSO

not attested not anchored not stored refs pending

Phase Transition in the One-bit Johnson-Lindenstrauss Lemma

Amadou Bah, Bryson Kagy, Emily Smith

arxiv:1903.02123 v1 · 2019-03-06 · math.FA · 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{PARNEBVWA3FXLQQO7YDS63ZGSO}

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	2026-05-17T23:51:56.663086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7822d206b606cb75c20efe072f6f2693bc168cf3a8231ee61ff2d30cbbae8e29

Aliases

arxiv: 1903.02123 · arxiv_version: 1903.02123v1 · doi: 10.48550/arxiv.1903.02123 · pith_short_12: PARNEBVWA3FX · pith_short_16: PARNEBVWA3FXLQQO · pith_short_8: PARNEBVW

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/PARNEBVWA3FXLQQO7YDS63ZGSO \
  | 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: 7822d206b606cb75c20efe072f6f2693bc168cf3a8231ee61ff2d30cbbae8e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1914e49a157cfed81d604ce1b05e9c2af1d058504e186b41c9965fc8213d58a0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-06T00:15:49Z",
    "title_canon_sha256": "8286398a7c6d971018ab1ccf72a53cbcfd3c10b1386f63abcd3f371e049f4209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02123",
    "kind": "arxiv",
    "version": 1
  }
}