Pith Number

pith:X2CSZRN7

pith:2014:X2CSZRN7WFCHVZVMJV2TQBQO7Z

not attested not anchored not stored refs pending

Kato smoothing and Strichartz estimates for wave equations with magnetic potentials

Piero D'Ancona

arxiv:1403.2537 v2 · 2014-03-11 · math.AP · math-ph · 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{X2CSZRN7WFCHVZVMJV2TQBQO7Z}

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	2026-05-17T23:39:42.503882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be852cc5bfb1447ae6ac4d7538060efe4231f71ad946a64dd40d61c5a15e26ae

Aliases

arxiv: 1403.2537 · arxiv_version: 1403.2537v2 · doi: 10.48550/arxiv.1403.2537 · pith_short_12: X2CSZRN7WFCH · pith_short_16: X2CSZRN7WFCHVZVM · pith_short_8: X2CSZRN7

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/X2CSZRN7WFCHVZVMJV2TQBQO7Z \
  | 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: be852cc5bfb1447ae6ac4d7538060efe4231f71ad946a64dd40d61c5a15e26ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5422d1b6ea682fce1dd7bb2f030ec562cea16fbed94b017c5efd4cfb507f82bb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-11T11:04:04Z",
    "title_canon_sha256": "a01c4a83a9af1e0cf48d44a629caa2631a43cf48135992d9f724dfe8bacc2b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2537",
    "kind": "arxiv",
    "version": 2
  }
}