Pith Number

pith:XEV3YFNC

pith:2010:XEV3YFNCNW2CI2T7EZ622LHBKH

not attested not anchored not stored refs pending

Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation

Roland Donninger, Wilhelm Schlag

arxiv:1011.2015 v3 · 2010-11-09 · math.AP · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEV3YFNCNW2CI2T7EZ622LHBKH}

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	2026-05-18T02:04:50.073286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b92bbc15a26db4246a7f267dad2ce151d8292bb5cecc572186da0c2190c73832

Aliases

arxiv: 1011.2015 · arxiv_version: 1011.2015v3 · doi: 10.48550/arxiv.1011.2015 · pith_short_12: XEV3YFNCNW2C · pith_short_16: XEV3YFNCNW2CI2T7 · pith_short_8: XEV3YFNC

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/XEV3YFNCNW2CI2T7EZ622LHBKH \
  | 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: b92bbc15a26db4246a7f267dad2ce151d8292bb5cecc572186da0c2190c73832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845f80a318ce07b2b596e5e7155de12024e8358944420ca604cf2f7a3fc06b9b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-09T09:47:22Z",
    "title_canon_sha256": "508e507ed316c1d272047e8bc768d5a47e59f7aee4eaa0637b26d9af3b5b7697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2015",
    "kind": "arxiv",
    "version": 3
  }
}