Pith Number

pith:JXRMDJWS

pith:2015:JXRMDJWSQ7PFMXSESHTSIUCFYP

not attested not anchored not stored refs pending

Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on $\mathbb{R}^{3}$

Thomas Duyckaerts, Tristan Roy

arxiv:1506.00788 v1 · 2015-06-02 · 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{JXRMDJWSQ7PFMXSESHTSIUCFYP}

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	2026-05-18T01:59:51.220432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de2c1a6d287de565e4491e7245045c3c5b688a16f4063e61097b6919b4fbec7

Aliases

arxiv: 1506.00788 · arxiv_version: 1506.00788v1 · doi: 10.48550/arxiv.1506.00788 · pith_short_12: JXRMDJWSQ7PF · pith_short_16: JXRMDJWSQ7PFMXSE · pith_short_8: JXRMDJWS

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/JXRMDJWSQ7PFMXSESHTSIUCFYP \
  | 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: 4de2c1a6d287de565e4491e7245045c3c5b688a16f4063e61097b6919b4fbec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "338caa52c7c68e2127b1243a26983bba21cd237a3458e5a4b838f41228a8c26f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-02T08:27:35Z",
    "title_canon_sha256": "1debcedfcaec6cb64ba1045af7f14782651e842bd4a4cf8376219a099ec6a6aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00788",
    "kind": "arxiv",
    "version": 1
  }
}