Pith Number

pith:7FJJC7YY

pith:2013:7FJJC7YYZET5QN3QLQWQDOBPCW

not attested not anchored not stored refs pending

From dimension free concentration to Poincar\'e inequality

Cyril Roberto (MODAL'X), Nathael Gozlan (LAMA), Paul-Marie Samson (LAMA)

arxiv:1305.4331 v2 · 2013-05-19 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FJJC7YYZET5QN3QLQWQDOBPCW}

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	2026-05-18T03:10:57.968264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f952917f18c927d837705c2d01b82f158e268e674e02e911dcee5bdeac8c2bbe

Aliases

arxiv: 1305.4331 · arxiv_version: 1305.4331v2 · doi: 10.48550/arxiv.1305.4331 · pith_short_12: 7FJJC7YYZET5 · pith_short_16: 7FJJC7YYZET5QN3Q · pith_short_8: 7FJJC7YY

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/7FJJC7YYZET5QN3QLQWQDOBPCW \
  | 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: f952917f18c927d837705c2d01b82f158e268e674e02e911dcee5bdeac8c2bbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1139ee36f264a6e26d49fc96b55fda568e95380daf833f3f8873f35ed0d77dd5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-19T06:53:00Z",
    "title_canon_sha256": "8e3e3ee73b70d578f5e4d646c6cc9679268ddb12df1a9ba32977a7c3b9e9c7ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4331",
    "kind": "arxiv",
    "version": 2
  }
}