Pith Number

pith:UKINK24N

pith:2009:UKINK24NQYANHOVMOAKYJYZWMX

not attested not anchored not stored refs pending

Maximal inequality for high-dimensional cubes

Guillaume Aubrun (ICJ)

arxiv:0902.4305 v2 · 2009-02-25 · math.CA · 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{UKINK24NQYANHOVMOAKYJYZWMX}

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	2026-05-18T03:13:08.656377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a290d56b8d8600d3baac701584e33665d992be2c72443daa838afeb47f1bd8ac

Aliases

arxiv: 0902.4305 · arxiv_version: 0902.4305v2 · doi: 10.48550/arxiv.0902.4305 · pith_short_12: UKINK24NQYAN · pith_short_16: UKINK24NQYANHOVM · pith_short_8: UKINK24N

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/UKINK24NQYANHOVMOAKYJYZWMX \
  | 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: a290d56b8d8600d3baac701584e33665d992be2c72443daa838afeb47f1bd8ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f88dc1bae52a718e462d2216b77e33cba1f9a9a22078c9d2d1efd4aa8da2a1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-02-25T08:05:08Z",
    "title_canon_sha256": "42dd134ca965fdfb0020a796489e448c062a4ee9954703de996f03bffe045f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4305",
    "kind": "arxiv",
    "version": 2
  }
}