Pith Number

pith:XBICBX3L

pith:2009:XBICBX3LX6G5LAE5RIBB3XPZDI

not attested not anchored not stored refs pending

Uniform bounds for norms of sums of independent random functions

Alexander Goldenshluger, Oleg Lepski

arxiv:0904.1950 v3 · 2009-04-13 · math.PR · 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{XBICBX3LX6G5LAE5RIBB3XPZDI}

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	2026-05-18T04:02:53.091443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b85020df6bbf8dd5809d8a021dddf91a15fe35709bf9acacccdcad63c733140b

Aliases

arxiv: 0904.1950 · arxiv_version: 0904.1950v3 · doi: 10.48550/arxiv.0904.1950 · pith_short_12: XBICBX3LX6G5 · pith_short_16: XBICBX3LX6G5LAE5 · pith_short_8: XBICBX3L

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/XBICBX3LX6G5LAE5RIBB3XPZDI \
  | 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: b85020df6bbf8dd5809d8a021dddf91a15fe35709bf9acacccdcad63c733140b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d686f9b2af55f0f2c2ac575e377e195add55c4b1374eddfb4edd82b5833befa",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-04-13T14:00:02Z",
    "title_canon_sha256": "eabb0179de367e322cbb66252a423a340c03544544719068b7baa4f75071784e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1950",
    "kind": "arxiv",
    "version": 3
  }
}