Pith Number

pith:S63TS6WF

pith:2018:S63TS6WFLGUUG7PV56IW5PNFHY

not attested not anchored not stored refs pending

A sharp rearrangement principle in Fourier space and symmetry results for PDEs with arbitrary order

Enno Lenzmann, J\'er\'emy Sok

arxiv:1805.06294 v4 · 2018-05-16 · math.AP · math-ph · math.CA · math.FA · 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{S63TS6WFLGUUG7PV56IW5PNFHY}

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	2026-05-17T23:52:07.687421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b7397ac559a9437df5ef916ebda53e0a1fa5836f5d60c177e6310db33310ae

Aliases

arxiv: 1805.06294 · arxiv_version: 1805.06294v4 · doi: 10.48550/arxiv.1805.06294 · pith_short_12: S63TS6WFLGUU · pith_short_16: S63TS6WFLGUUG7PV · pith_short_8: S63TS6WF

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/S63TS6WFLGUUG7PV56IW5PNFHY \
  | 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: 97b7397ac559a9437df5ef916ebda53e0a1fa5836f5d60c177e6310db33310ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845b4050ef42ed942f6a9d66b959576ba1f2ab9331a49211a64f4865c2dd7727",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-16T13:20:32Z",
    "title_canon_sha256": "9f82b3a1b725edb12e5c225d75c27705ffa078eaf5ce6283d64012f89eedbe89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06294",
    "kind": "arxiv",
    "version": 4
  }
}