Pith Number

pith:WG4JLUMR

pith:2013:WG4JLUMRTRTZ3MF5QPC5V74WJQ

not attested not anchored not stored refs pending

Yet another short proof of Bourgain's distorsion estimate

Beno\^it Kloeckner (IF)

arxiv:1302.1738 v1 · 2013-02-07 · math.FA · 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{WG4JLUMRTRTZ3MF5QPC5V74WJQ}

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	2026-05-18T03:34:14.744579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b895d1919c679db0bd83c5daff964c0f00cf8b668c61b7559da27f8ff27dfd

Aliases

arxiv: 1302.1738 · arxiv_version: 1302.1738v1 · doi: 10.48550/arxiv.1302.1738 · pith_short_12: WG4JLUMRTRTZ · pith_short_16: WG4JLUMRTRTZ3MF5 · pith_short_8: WG4JLUMR

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/WG4JLUMRTRTZ3MF5QPC5V74WJQ \
  | 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: b1b895d1919c679db0bd83c5daff964c0f00cf8b668c61b7559da27f8ff27dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a735a649d151b5a2216369f31540bbef2cdec88bafc9e1733d6573f945627c1d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-07T13:16:11Z",
    "title_canon_sha256": "00a792f7069def1677ffe92c4b1d64c5c2b23fd1f989fb59f0128daeaad26284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1738",
    "kind": "arxiv",
    "version": 1
  }
}