Pith Number

pith:K7A2USDA

pith:2015:K7A2USDAHKGWCQ7B4RSOJJVBSA

not attested not anchored not stored refs pending

Super-Gaussian directions of random vectors

Bo'az Klartag

arxiv:1512.03282 v2 · 2015-12-10 · math.MG · 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{K7A2USDAHKGWCQ7B4RSOJJVBSA}

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	2026-05-18T01:16:09.427078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c1aa48603a8d6143e1e464e4a6a190081076927dfc692198299b100d109927

Aliases

arxiv: 1512.03282 · arxiv_version: 1512.03282v2 · doi: 10.48550/arxiv.1512.03282 · pith_short_12: K7A2USDAHKGW · pith_short_16: K7A2USDAHKGWCQ7B · pith_short_8: K7A2USDA

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/K7A2USDAHKGWCQ7B4RSOJJVBSA \
  | 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: 57c1aa48603a8d6143e1e464e4a6a190081076927dfc692198299b100d109927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "488769742f6b1f092f4f3133a081e3dbe8901c118be8d0cc690e3bf0cca80e17",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-12-10T15:12:16Z",
    "title_canon_sha256": "6b661bd09a7e4a11c5340d4a07c19071fc7bfc2f6dd002e4c344e7ec2ae8463a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03282",
    "kind": "arxiv",
    "version": 2
  }
}