Pith Number

pith:6V5M2NXO

pith:2017:6V5M2NXOL4SHYGJWI4MURWWL7M

not attested not anchored not stored refs pending

Blow-up for semilinear damped wave equations with sub-Strauss exponent in the scattering case

Hiroyuki Takamura, Ning-An Lai

arxiv:1707.09583 v3 · 2017-07-30 · 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{6V5M2NXOL4SHYGJWI4MURWWL7M}

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	2026-05-18T00:22:20.852665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f57acd36ee5f247c1936471948dacbfb2dd04a531c8a251e7f805b59d9d8a006

Aliases

arxiv: 1707.09583 · arxiv_version: 1707.09583v3 · doi: 10.48550/arxiv.1707.09583 · pith_short_12: 6V5M2NXOL4SH · pith_short_16: 6V5M2NXOL4SHYGJW · pith_short_8: 6V5M2NXO

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/6V5M2NXOL4SHYGJWI4MURWWL7M \
  | 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: f57acd36ee5f247c1936471948dacbfb2dd04a531c8a251e7f805b59d9d8a006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d9ec20fa416670be9f86ac096fb70ef829a525d86d76c18c2ec11ea6cbba67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-30T06:13:35Z",
    "title_canon_sha256": "381f7f748d2b3522417e6cc1eacbbed5d25d9aafdfa9c16612290052ab2545fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09583",
    "kind": "arxiv",
    "version": 3
  }
}