Pith Number

pith:23KD3OTP

pith:2013:23KD3OTPP6BACLCJBHSWMMPNTS

not attested not anchored not stored refs pending

Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems

Jacopo Bellazzini, Nicola Visciglia, Rupert L. Frank

arxiv:1308.5612 v1 · 2013-08-26 · math.FA · math-ph · math.AP · 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{23KD3OTPP6BACLCJBHSWMMPNTS}

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	2026-05-18T03:15:03.974217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d43dba6f7f82012c4909e56631ed9c92ce3443cf416df098f178aa0db70b9c

Aliases

arxiv: 1308.5612 · arxiv_version: 1308.5612v1 · doi: 10.48550/arxiv.1308.5612 · pith_short_12: 23KD3OTPP6BA · pith_short_16: 23KD3OTPP6BACLCJ · pith_short_8: 23KD3OTP

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/23KD3OTPP6BACLCJBHSWMMPNTS \
  | 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: d6d43dba6f7f82012c4909e56631ed9c92ce3443cf416df098f178aa0db70b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "543b30a60750dd2d62e0d3c6952163cf43b7e3c828c6fb650f56d648a54eec9d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-26T15:20:58Z",
    "title_canon_sha256": "8dc39e0e3f0b44b8e9d1718b9949411f45c81d140ea32068cd266e25e10d6fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5612",
    "kind": "arxiv",
    "version": 1
  }
}