Pith Number

pith:IUDALZSJ

pith:2018:IUDALZSJZQPLWQ2B2UW5U5SEGW

not attested not anchored not stored refs pending

On the blow-up for critical semilinear wave equations with damping in the scattering case

Borislav Yordanov, Kyouhei Wakasa

arxiv:1807.06164 v1 · 2018-07-17 · 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{IUDALZSJZQPLWQ2B2UW5U5SEGW}

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	2026-05-18T00:10:33.815118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

450605e649cc1ebb4341d52dda7644358670c83ae0da451e7b607145463dc831

Aliases

arxiv: 1807.06164 · arxiv_version: 1807.06164v1 · doi: 10.48550/arxiv.1807.06164 · pith_short_12: IUDALZSJZQPL · pith_short_16: IUDALZSJZQPLWQ2B · pith_short_8: IUDALZSJ

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/IUDALZSJZQPLWQ2B2UW5U5SEGW \
  | 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: 450605e649cc1ebb4341d52dda7644358670c83ae0da451e7b607145463dc831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "045e204720fb8ee786d518bcdb28efe0c60985e731d26404fbb732b379c35973",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-17T00:41:54Z",
    "title_canon_sha256": "1775b3fb121116581c7bff4deb1791be2d468ef2e9bd48a34f40e39422cc63c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06164",
    "kind": "arxiv",
    "version": 1
  }
}