Pith Number

pith:AIXP3WBU

pith:2018:AIXP3WBU7VG5IZF3O7KQ3CZRBI

not attested not anchored not stored refs pending

Positive Gaussian kernels also have Gaussian minimizers

Franck Barthe (IMT), Pawel Wolff

arxiv:1805.02455 v1 · 2018-05-07 · 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{AIXP3WBU7VG5IZF3O7KQ3CZRBI}

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	2026-05-18T00:16:39.848522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

022efdd834fd4dd464bb77d50d8b310a1ae697b91a0feb3137fd0c68565ea42d

Aliases

arxiv: 1805.02455 · arxiv_version: 1805.02455v1 · doi: 10.48550/arxiv.1805.02455 · pith_short_12: AIXP3WBU7VG5 · pith_short_16: AIXP3WBU7VG5IZF3 · pith_short_8: AIXP3WBU

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/AIXP3WBU7VG5IZF3O7KQ3CZRBI \
  | 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: 022efdd834fd4dd464bb77d50d8b310a1ae697b91a0feb3137fd0c68565ea42d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2603ed8629ba6e2b56626d6d228eda7686f4a226f174f7fc8d049f610d775dc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-07T11:51:24Z",
    "title_canon_sha256": "c3ee70779089c0d20dff4c913955d5d64e4a101929025e4b559eab9c4339f623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02455",
    "kind": "arxiv",
    "version": 1
  }
}