Pith Number

pith:RSWUIV47

pith:2012:RSWUIV473Q5QVMHFDNKXCSR4YD

not attested not anchored not stored refs pending

Scattering for radial, bounded solutions of focusing supercritical wave equations

Carlos Kenig, Frank Merle, Thomas Duyckaerts

arxiv:1208.2158 v1 · 2012-08-10 · 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{RSWUIV473Q5QVMHFDNKXCSR4YD}

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	2026-05-18T03:48:59.969200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cad44579fdc3b0ab0e51b55714a3cc0edf747e08af4560af36840a682bc8da7

Aliases

arxiv: 1208.2158 · arxiv_version: 1208.2158v1 · doi: 10.48550/arxiv.1208.2158 · pith_short_12: RSWUIV473Q5Q · pith_short_16: RSWUIV473Q5QVMHF · pith_short_8: RSWUIV47

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/RSWUIV473Q5QVMHFDNKXCSR4YD \
  | 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: 8cad44579fdc3b0ab0e51b55714a3cc0edf747e08af4560af36840a682bc8da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfffe1a61c87203988ad7595e8f7b45f9364603dac18590bb019f8093c5b9633",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-10T12:46:06Z",
    "title_canon_sha256": "1a4ca0b9914f14814bdfa82649245ed341453578afcf714c75f71b33a91fc5a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2158",
    "kind": "arxiv",
    "version": 1
  }
}