Pith Number

pith:ULN5SJAT

pith:2011:ULN5SJATY4HUCU3SSOUQAD5V7K

not attested not anchored not stored refs pending

The Bernstein-Orlicz norm and deviation inequalities

Johannes Lederer, Sara van de Geer

arxiv:1111.2450 v2 · 2011-11-10 · 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{ULN5SJATY4HUCU3SSOUQAD5V7K}

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	2026-05-18T04:08:03.254672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2dbd92413c70f41537293a9000fb5fabedf569806013fb1e58f3f318935ebfc

Aliases

arxiv: 1111.2450 · arxiv_version: 1111.2450v2 · doi: 10.48550/arxiv.1111.2450 · pith_short_12: ULN5SJATY4HU · pith_short_16: ULN5SJATY4HUCU3S · pith_short_8: ULN5SJAT

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/ULN5SJATY4HUCU3SSOUQAD5V7K \
  | 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: a2dbd92413c70f41537293a9000fb5fabedf569806013fb1e58f3f318935ebfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30755bb046a7c4baa8b5330487445ad9b5f7f57396d23d2be51a5ed00bf6e716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-10T11:52:01Z",
    "title_canon_sha256": "e27deb9837fd52aae468feed3b7fb6bb80cdc8424df06dac48981f247161067b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2450",
    "kind": "arxiv",
    "version": 2
  }
}