Pith Number

pith:2FS7EY3X

pith:2018:2FS7EY3XZUWQU2JOVU4PTBIV2K

not attested not anchored not stored refs pending

The information-theoretic meaning of Gagliardo--Nirenberg type inequalities

Giuseppe Toscani

arxiv:1810.00562 v1 · 2018-10-01 · math.FA · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FS7EY3XZUWQU2JOVU4PTBIV2K}

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	2026-05-18T00:04:25.408688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d165f26377cd2d0a692ead38f98515d29bb0deb9100168bc70ea9929c7dd948d

Aliases

arxiv: 1810.00562 · arxiv_version: 1810.00562v1 · doi: 10.48550/arxiv.1810.00562 · pith_short_12: 2FS7EY3XZUWQ · pith_short_16: 2FS7EY3XZUWQU2JO · pith_short_8: 2FS7EY3X

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/2FS7EY3XZUWQU2JOVU4PTBIV2K \
  | 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: d165f26377cd2d0a692ead38f98515d29bb0deb9100168bc70ea9929c7dd948d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e8333c8b6856e4eaae0ac0ab70f560f65a5c7a704581c377d480902a061fcc7",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-01T07:37:12Z",
    "title_canon_sha256": "24340ff16cf69e5e76272d9d4528af7da17cf224e8a9c4de27904768e1e7a117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00562",
    "kind": "arxiv",
    "version": 1
  }
}