Pith Number

pith:QKIFOK2H

pith:2014:QKIFOK2HXPFBMSEXPZJ5GT5QPG

not attested not anchored not stored refs pending

Solutions of the focusing nonradial critical wave equation with the compactness property

Carlos E. Kenig, Frank Merle, Thomas Duyckaerts

arxiv:1402.0365 v1 · 2014-02-03 · 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{QKIFOK2HXPFBMSEXPZJ5GT5QPG}

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	2026-05-18T03:00:15.493410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8290572b47bbca1648977e53d34fb079b1fb323023d81581c37454e7eaf4faf7

Aliases

arxiv: 1402.0365 · arxiv_version: 1402.0365v1 · doi: 10.48550/arxiv.1402.0365 · pith_short_12: QKIFOK2HXPFB · pith_short_16: QKIFOK2HXPFBMSEX · pith_short_8: QKIFOK2H

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/QKIFOK2HXPFBMSEXPZJ5GT5QPG \
  | 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: 8290572b47bbca1648977e53d34fb079b1fb323023d81581c37454e7eaf4faf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a4306f7c0dae6319ebb170638e4e4d2ef7cb22242cee012eaae218327c3cd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-03T12:41:18Z",
    "title_canon_sha256": "65ca36da26a218920e84bca9eeb2e7989b3252185f03867192d93227c066aa9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0365",
    "kind": "arxiv",
    "version": 1
  }
}