Pith Number

pith:5JLCY6MI

pith:2012:5JLCY6MIWAQRI756AS3SPH7AKO

not attested not anchored not stored refs pending

Exotic blowup solutions for the u^5 focusing wave equation in R^3

Joachim Krieger, Min Huang, Roland Donninger, Wilhelm Schlag

arxiv:1212.4718 v1 · 2012-12-19 · 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{5JLCY6MIWAQRI756AS3SPH7AKO}

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	2026-05-18T03:38:05.508875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea562c7988b021147fbe04b7279fe0539b23740ca75d6fe145582897ca74c5c5

Aliases

arxiv: 1212.4718 · arxiv_version: 1212.4718v1 · doi: 10.48550/arxiv.1212.4718 · pith_short_12: 5JLCY6MIWAQR · pith_short_16: 5JLCY6MIWAQRI756 · pith_short_8: 5JLCY6MI

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/5JLCY6MIWAQRI756AS3SPH7AKO \
  | 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: ea562c7988b021147fbe04b7279fe0539b23740ca75d6fe145582897ca74c5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db7e72086fbe6698883a0273b49d3747fb594a14b1c10b0a3fbbffd1065103ba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-19T16:07:20Z",
    "title_canon_sha256": "e7661faa51cb2234bbda48d3db3fb19ff1287ebe81b2db1f8da01442bd111827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4718",
    "kind": "arxiv",
    "version": 1
  }
}