Pith Number

pith:WCVPOH2T

pith:2010:WCVPOH2TBNEFEKN2XAXAXMUJCQ

not attested not anchored not stored refs pending

Weighted Nash Inequalities

Dominique Bakry (IUF, Fran\c{c}ois Bolley (CEREMADE), IMT), Ivan Gentil (CEREMADE), Patrick Maheux (MAPMO)

arxiv:1004.3456 v2 · 2010-04-20 · 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{WCVPOH2TBNEFEKN2XAXAXMUJCQ}

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	2026-05-18T03:13:00.703109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0aaf71f530b485229bab82e0bb2891424d5b85e26353cfb24146e2bab4f014b

Aliases

arxiv: 1004.3456 · arxiv_version: 1004.3456v2 · doi: 10.48550/arxiv.1004.3456 · pith_short_12: WCVPOH2TBNEF · pith_short_16: WCVPOH2TBNEFEKN2 · pith_short_8: WCVPOH2T

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/WCVPOH2TBNEFEKN2XAXAXMUJCQ \
  | 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: b0aaf71f530b485229bab82e0bb2891424d5b85e26353cfb24146e2bab4f014b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89c4652108c64c184348d05efccf450236117b64385054f664241c76d72d6469",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-20T14:04:55Z",
    "title_canon_sha256": "ae95c46b33858bcefa4e071dcd4725bb48e48792b772ac8cb1935f1ee50141cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3456",
    "kind": "arxiv",
    "version": 2
  }
}