Pith Number

pith:SRP7KZXF

pith:2015:SRP7KZXF6QJHFAQKPQQQWV6BIN

not attested not anchored not stored refs pending

Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5

Jacek Jendrej

arxiv:1503.05024 v2 · 2015-03-17 · 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{SRP7KZXF6QJHFAQKPQQQWV6BIN}

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	2026-05-18T01:01:29.321816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

945ff566e5f41272820a7c210b57c1437aaa33d13197a11d43a3c6bfe6f18e3b

Aliases

arxiv: 1503.05024 · arxiv_version: 1503.05024v2 · doi: 10.48550/arxiv.1503.05024 · pith_short_12: SRP7KZXF6QJH · pith_short_16: SRP7KZXF6QJHFAQK · pith_short_8: SRP7KZXF

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/SRP7KZXF6QJHFAQKPQQQWV6BIN \
  | 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: 945ff566e5f41272820a7c210b57c1437aaa33d13197a11d43a3c6bfe6f18e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54dc2a0251cd85352c222aa213c7c4236a21846d503a6feb7064fd67ff44113e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-17T12:52:46Z",
    "title_canon_sha256": "ed1f5647d28f80e70dbc48f573c82a3a38d34e5bdf79b5a27e1c121ad2b2ae51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05024",
    "kind": "arxiv",
    "version": 2
  }
}