Pith Number

pith:ITUMWWKU

pith:2018:ITUMWWKUCXDITXE5GFIG3MWCWG

not attested not anchored not stored refs pending

Global existence and lifespan for semilinear wave equations with mixed nonlinear terms

Chengbo Wang, Daoyuan Fang, Wei Dai

arxiv:1810.10232 v2 · 2018-10-24 · 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{ITUMWWKUCXDITXE5GFIG3MWCWG}

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	2026-05-17T23:47:50.864738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e8cb595415c689dc9d31506db2c2b1887fdaa1eaed20f690937c1f6fbdc6b6

Aliases

arxiv: 1810.10232 · arxiv_version: 1810.10232v2 · doi: 10.48550/arxiv.1810.10232 · pith_short_12: ITUMWWKUCXDI · pith_short_16: ITUMWWKUCXDITXE5 · pith_short_8: ITUMWWKU

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/ITUMWWKUCXDITXE5GFIG3MWCWG \
  | 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: 44e8cb595415c689dc9d31506db2c2b1887fdaa1eaed20f690937c1f6fbdc6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54227016fb6560ef7921216942d24cf5e1a5fe00c01ab012c9d12ea6f3774c00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-24T07:57:58Z",
    "title_canon_sha256": "5499c8a8035314d36ce896cf372118da192a114b3af544c6ec269141059a5091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10232",
    "kind": "arxiv",
    "version": 2
  }
}