Pith Number

pith:FUS7FB47

pith:2014:FUS7FB47RTAIBFKEHWOCFEL73X

not attested not anchored not stored refs pending

Global existence for semilinear wave equations with the critical blow-up term in high dimensions

Hiroyuki Takamura, Kyouhei Wakasa

arxiv:1405.0120 v3 · 2014-05-01 · 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{FUS7FB47RTAIBFKEHWOCFEL73X}

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	2026-05-18T00:22:16.660022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d25f2879f8cc08095443d9c22917fdde07797767546996ae00531a4b415b763

Aliases

arxiv: 1405.0120 · arxiv_version: 1405.0120v3 · doi: 10.48550/arxiv.1405.0120 · pith_short_12: FUS7FB47RTAI · pith_short_16: FUS7FB47RTAIBFKE · pith_short_8: FUS7FB47

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/FUS7FB47RTAIBFKEHWOCFEL73X \
  | 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: 2d25f2879f8cc08095443d9c22917fdde07797767546996ae00531a4b415b763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae1bca44a64afa7e29849b92e65d3a9d4754419890e7614c42c81ad58df5cf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-01T09:36:27Z",
    "title_canon_sha256": "e5c8151704ddc00a1c0cd36b0884a05892118f7db63f9d09565158761fe4d396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0120",
    "kind": "arxiv",
    "version": 3
  }
}