pith. sign in
Pith Number

pith:5UYZV5ZT

pith:2014:5UYZV5ZTBHZCTCI6ST5T6PZBWF
not attested not anchored not stored refs pending

Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm

Andrew Lawrie, Benjamin Dodson

arxiv:1407.8199 v2 · 2014-07-30 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5UYZV5ZTBHZCTCI6ST5T6PZBWF}

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 2026-05-18T01:29:05.454167Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ed319af73309f229891e94fb3f3f21b15d7e84ff0e36e1c5b7e3910798767079

Aliases

arxiv: 1407.8199 · arxiv_version: 1407.8199v2 · doi: 10.48550/arxiv.1407.8199 · pith_short_12: 5UYZV5ZTBHZC · pith_short_16: 5UYZV5ZTBHZCTCI6 · pith_short_8: 5UYZV5ZT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5UYZV5ZTBHZCTCI6ST5T6PZBWF \
  | 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: ed319af73309f229891e94fb3f3f21b15d7e84ff0e36e1c5b7e3910798767079
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7d00bb8fdcc98a044481e0d532d6174b86211c5ac2ccdbc72001606edd970a60",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-30T20:14:53Z",
    "title_canon_sha256": "49c2aa171f667c6aab8f47b331741a8624f540dfa334b9ed0286e38ddb082532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8199",
    "kind": "arxiv",
    "version": 2
  }
}