Pith Number

pith:W6IXHUXT

pith:2013:W6IXHUXTCJHSOZ2DYKTVS3JCEX

not attested not anchored not stored refs pending

Double logarithmic inequality with a sharp constant in four space dimensions

Mohamed Majdoub, Tarek Saanouni

arxiv:1301.2353 v1 · 2013-01-10 · math.AP · math.CA · 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{W6IXHUXTCJHSOZ2DYKTVS3JCEX}

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	2026-05-18T03:36:45.235828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79173d2f3124f276743c2a7596d2225e863b6c960fd7afcb4c55f5b40e1e89d

Aliases

arxiv: 1301.2353 · arxiv_version: 1301.2353v1 · doi: 10.48550/arxiv.1301.2353 · pith_short_12: W6IXHUXTCJHS · pith_short_16: W6IXHUXTCJHSOZ2D · pith_short_8: W6IXHUXT

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/W6IXHUXTCJHSOZ2DYKTVS3JCEX \
  | 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: b79173d2f3124f276743c2a7596d2225e863b6c960fd7afcb4c55f5b40e1e89d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445740a8d993a306e4749cfbc8470f9fa742f408d745df4920c6c03db40c67db",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-10T23:05:55Z",
    "title_canon_sha256": "977fba21927941e3613f891cc122d8c5371aff6ba58291ca549814f461842579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2353",
    "kind": "arxiv",
    "version": 1
  }
}