Pith Number

pith:E5L4DLER

pith:2017:E5L4DLERQFF6H7QPWEQEEU6KOQ

not attested not anchored not stored refs pending

Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data

Benjamin Dodson, Dana Mendelson, Jonas Luhrmann

arxiv:1703.09655 v2 · 2017-03-28 · 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{E5L4DLERQFF6H7QPWEQEEU6KOQ}

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	2026-05-18T00:23:56.668798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2757c1ac91814be3fe0fb1204253ca7422cfee575be6997cebdb32e799ab519b

Aliases

arxiv: 1703.09655 · arxiv_version: 1703.09655v2 · doi: 10.48550/arxiv.1703.09655 · pith_short_12: E5L4DLERQFF6 · pith_short_16: E5L4DLERQFF6H7QP · pith_short_8: E5L4DLER

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/E5L4DLERQFF6H7QPWEQEEU6KOQ \
  | 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: 2757c1ac91814be3fe0fb1204253ca7422cfee575be6997cebdb32e799ab519b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40cd4469ebaa7afa8e9a5164c642686700f9055bae04e91ceb4a65e08d4f32f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-28T16:13:11Z",
    "title_canon_sha256": "8c63553433d7cf7695f2d62b426f2a9113bbda790cc2fb055f506c01c8e424c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09655",
    "kind": "arxiv",
    "version": 2
  }
}