Pith Number

pith:WUMKBJQG

pith:2019:WUMKBJQGO3D6Z37XGCG7R3TIWD

not attested not anchored not stored refs pending

Strichartz estimates for the Dirac equation on spherically symmetric spaces

Anne-Sophie de Suzzoni, Federico Cacciafesta

arxiv:1902.07572 v1 · 2019-02-20 · 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{WUMKBJQGO3D6Z37XGCG7R3TIWD}

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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.

Cited by

1 paper in Pith

Decay of solutions of nonlinear Dirac equations

Receipt and verification

First computed	2026-05-17T23:53:07.459416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b518a0a60676c7eceff7308df8ee68b0dac2d27f390cbb2de220d2bd576a11be

Aliases

arxiv: 1902.07572 · arxiv_version: 1902.07572v1 · doi: 10.48550/arxiv.1902.07572 · pith_short_12: WUMKBJQGO3D6 · pith_short_16: WUMKBJQGO3D6Z37X · pith_short_8: WUMKBJQG

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/WUMKBJQGO3D6Z37XGCG7R3TIWD \
  | 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: b518a0a60676c7eceff7308df8ee68b0dac2d27f390cbb2de220d2bd576a11be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689034a48d495634e849f953d30aad14cec6694522559644d70dc3fa6c5bcbc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-20T14:23:30Z",
    "title_canon_sha256": "89c2931800ad684a6c9bc19b56747e17198435731892eeec66d4da002151026d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07572",
    "kind": "arxiv",
    "version": 1
  }
}