Pith Number

pith:HMZD3D4O

pith:2017:HMZD3D4OHV4ZCZPOXVGFOMABED

not attested not anchored not stored refs pending

On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for the white noise dispersion

Anthony R\'eveillac (IMT, INSA Toulouse), Romain Duboscq (IMT

arxiv:1711.07188 v1 · 2017-11-20 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMZD3D4OHV4ZCZPOXVGFOMABED}

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	2026-05-18T00:30:12.005409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b323d8f8e3d799165eebd4c57300120f5ef951c2a849cf7de53ca130ddaad3c

Aliases

arxiv: 1711.07188 · arxiv_version: 1711.07188v1 · doi: 10.48550/arxiv.1711.07188 · pith_short_12: HMZD3D4OHV4Z · pith_short_16: HMZD3D4OHV4ZCZPO · pith_short_8: HMZD3D4O

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/HMZD3D4OHV4ZCZPOXVGFOMABED \
  | 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: 3b323d8f8e3d799165eebd4c57300120f5ef951c2a849cf7de53ca130ddaad3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c76abfae885936d3b7a3b8aef7e13827af17bc1eb94eb9ccd1fed55b9bb8bed6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-20T08:18:41Z",
    "title_canon_sha256": "571b9b143a94133967686a02c094ed1bd3e436a9ed9d6c3d839bd3d6ccf401a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07188",
    "kind": "arxiv",
    "version": 1
  }
}