Pith Number

pith:ZXV6RNGM

pith:2012:ZXV6RNGMGF46DBBR3FRLKJK7JH

not attested not anchored not stored refs pending

A short proof of Paouris' inequality

Alain Pajor, Alexander E. Litvak, Krzysztof Oleszkiewicz, Nicole Tomczak-Jaegermann, Rados{\l}aw Adamczak, Rafa{\l} Lata{\l}a

arxiv:1205.2515 v1 · 2012-05-11 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXV6RNGMGF46DBBR3FRLKJK7JH}

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.

Cited by

1 paper in Pith

Transformers Efficiently Perform In-Context Logistic Regression via Normalized Gradient Descent

Receipt and verification

First computed	2026-05-18T02:30:08.838286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdebe8b4cc3179e18431d962b5255f49c8a2a648968f2503d67a8cae954865c4

Aliases

arxiv: 1205.2515 · arxiv_version: 1205.2515v1 · doi: 10.48550/arxiv.1205.2515 · pith_short_12: ZXV6RNGMGF46 · pith_short_16: ZXV6RNGMGF46DBBR · pith_short_8: ZXV6RNGM

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/ZXV6RNGMGF46DBBR3FRLKJK7JH \
  | 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: cdebe8b4cc3179e18431d962b5255f49c8a2a648968f2503d67a8cae954865c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b998314136fcf5c866984f95bf1c55e79408f591cfc9f91f424cc98d6d715f67",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-11T13:14:26Z",
    "title_canon_sha256": "733ff7b6f601947279bfa7c668c145716bb9baff294f716f58cac2d0ba3dcd33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2515",
    "kind": "arxiv",
    "version": 1
  }
}