Pith Number

pith:2KHYHH23

pith:2018:2KHYHH23O7AUNJ3GQVDPP5RI3F

not attested not anchored not stored refs pending

Detailed proof of classical Gagliardo-Nirenberg interpolation inequality with historical remarks

Alberto Fiorenza, Filip Soudsk\'y, Maria Rosaria Formica, Tom\'a\v{s} Roskovec

arxiv:1812.04281 v1 · 2018-12-11 · 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{2KHYHH23O7AUNJ3GQVDPP5RI3F}

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	2026-05-17T23:58:32.745068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28f839f5b77c146a7668546f7f628d97cb8afdbbcb739c7279b7d85b9c2ca54

Aliases

arxiv: 1812.04281 · arxiv_version: 1812.04281v1 · doi: 10.48550/arxiv.1812.04281 · pith_short_12: 2KHYHH23O7AU · pith_short_16: 2KHYHH23O7AUNJ3G · pith_short_8: 2KHYHH23

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/2KHYHH23O7AUNJ3GQVDPP5RI3F \
  | 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: d28f839f5b77c146a7668546f7f628d97cb8afdbbcb739c7279b7d85b9c2ca54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af5b99358c40af554a0f181f32963b717214c5699363892e32e4c5c875d28c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-11T09:16:16Z",
    "title_canon_sha256": "6bd379e1ff42de8817660534ad87b56bc8a775006fa15d9808fca865b4070146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04281",
    "kind": "arxiv",
    "version": 1
  }
}