Pith Number

pith:CEJKN7HZ

pith:2021:CEJKN7HZ242VA2PSQLWOE7QBGF

not attested not anchored not stored refs pending

Soliton resolution for critical co-rotational wave maps and radial cubic wave equation

Carlos Kenig, Frank Merle, Thomas Duyckaerts, Yvan Martel

arxiv:2103.01293 v1 · 2021-03-01 · 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{CEJKN7HZ242VA2PSQLWOE7QBGF}

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.

Cited by

1 paper in Pith

On the Existence of Self-Similar solutions for some Nonlinear Schr\"odinger equations

Receipt and verification

First computed	2026-07-05T03:58:46.757187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1112a6fcf9d7355069f282ece27e01315c489add7046f0547ac2bbec92e7daeb

Aliases

arxiv: 2103.01293 · arxiv_version: 2103.01293v1 · doi: 10.48550/arxiv.2103.01293 · pith_short_12: CEJKN7HZ242V · pith_short_16: CEJKN7HZ242VA2PS · pith_short_8: CEJKN7HZ

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/CEJKN7HZ242VA2PSQLWOE7QBGF \
  | 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: 1112a6fcf9d7355069f282ece27e01315c489add7046f0547ac2bbec92e7daeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67d4d06698058c6c9e615d3e9b51705232772e442d4c5dce4a5a1dc23d0f93e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-03-01T20:30:48Z",
    "title_canon_sha256": "9c8238a8c5a893b44c3da3d6087d630e1904e9e6abbd33fb67143629427a3e16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.01293",
    "kind": "arxiv",
    "version": 1
  }
}