Pith Number

pith:TK4REFT6

pith:2012:TK4REFT6DAJ3Y5ACPV6G4EZN4D

not attested not anchored not stored refs pending

The Euclidean Onofri inequality in higher dimensions

Jean Dolbeault (CEREMADE), Manuel Del Pino (DIM)

arxiv:1201.2162 v1 · 2012-01-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TK4REFT6DAJ3Y5ACPV6G4EZN4D}

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	2026-05-18T03:39:06.419215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab912167e1813bc74027d7c6e132de0db242059cd3e9aef82a13f837bddafba

Aliases

arxiv: 1201.2162 · arxiv_version: 1201.2162v1 · doi: 10.48550/arxiv.1201.2162 · pith_short_12: TK4REFT6DAJ3 · pith_short_16: TK4REFT6DAJ3Y5AC · pith_short_8: TK4REFT6

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/TK4REFT6DAJ3Y5ACPV6G4EZN4D \
  | 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: 9ab912167e1813bc74027d7c6e132de0db242059cd3e9aef82a13f837bddafba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc282bfbe5a281a67f3a57fd17c40b8b9eaf77c1e2771022c969a7a3eeb76dd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-10T20:19:34Z",
    "title_canon_sha256": "2fdef30adbef6d463458433894b9677420fa2420af0fc2821c60eeb4dc5e07c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2162",
    "kind": "arxiv",
    "version": 1
  }
}