Pith Number

pith:NLG7DPZE

pith:2013:NLG7DPZEZOCTJ55IMPSRUR2GZ7

not attested not anchored not stored refs pending

Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators

Salvador Rodr\'iguez-L\'opez, Wolfgang Staubach

arxiv:1304.0656 v2 · 2013-04-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLG7DPZEZOCTJ55IMPSRUR2GZ7}

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	2026-05-18T02:48:27.399529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6acdf1bf24cb8534f7a863e51a4746cfea0133337bb72d700f5cee632cbf6490

Aliases

arxiv: 1304.0656 · arxiv_version: 1304.0656v2 · doi: 10.48550/arxiv.1304.0656 · pith_short_12: NLG7DPZEZOCT · pith_short_16: NLG7DPZEZOCTJ55I · pith_short_8: NLG7DPZE

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/NLG7DPZEZOCTJ55IMPSRUR2GZ7 \
  | 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: 6acdf1bf24cb8534f7a863e51a4746cfea0133337bb72d700f5cee632cbf6490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b5d5daf54c9d02e6377b9b9749af643c9b3bd1d4ed54d41f3ca22d3961153f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-02T14:52:32Z",
    "title_canon_sha256": "2c1521a18e20c7a48e6ecf3a537b5166040c2a50977eddf3d1c5b09884ee5bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0656",
    "kind": "arxiv",
    "version": 2
  }
}