Pith Number

pith:SJ273FV5

pith:2012:SJ273FV5LOA3CNOM3BGXLBURGK

not attested not anchored not stored refs pending

Instability of type II blow up for the quintic nonlinear wave equation on \R^{3+1}

Joachim Krieger, Joules Nahas

arxiv:1212.4628 v2 · 2012-12-19 · 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{SJ273FV5LOA3CNOM3BGXLBURGK}

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	2026-05-18T03:01:56.464287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9275fd96bd5b81b135ccd84d75869132ab7473ed664b81b117b8d0de71bebabc

Aliases

arxiv: 1212.4628 · arxiv_version: 1212.4628v2 · doi: 10.48550/arxiv.1212.4628 · pith_short_12: SJ273FV5LOA3 · pith_short_16: SJ273FV5LOA3CNOM · pith_short_8: SJ273FV5

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/SJ273FV5LOA3CNOM3BGXLBURGK \
  | 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: 9275fd96bd5b81b135ccd84d75869132ab7473ed664b81b117b8d0de71bebabc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "559a8703ec173b486bb17695737ee25453b06918bdbf015714a6ac9baf48dfce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-19T11:47:21Z",
    "title_canon_sha256": "04d172c4fe686358fecb5056adaf384f8868ae9dcb22569d0e4fe978d249b56d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4628",
    "kind": "arxiv",
    "version": 2
  }
}