Pith Number

pith:VUGE5WPO

pith:2010:VUGE5WPOQEPZLMV4G5G2EONUDH

not attested not anchored not stored refs pending

Almost global existence for some semilinear wave equations with almost critical regularity

Chengbo Wang, Daoyuan Fang

arxiv:1007.0733 v1 · 2010-07-05 · 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{VUGE5WPOQEPZLMV4G5G2EONUDH}

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	2026-05-18T02:56:33.101459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad0c4ed9ee811f95b2bc374da239b419e128ee8302910d73707c6b4450e7d930

Aliases

arxiv: 1007.0733 · arxiv_version: 1007.0733v1 · doi: 10.48550/arxiv.1007.0733 · pith_short_12: VUGE5WPOQEPZ · pith_short_16: VUGE5WPOQEPZLMV4 · pith_short_8: VUGE5WPO

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/VUGE5WPOQEPZLMV4G5G2EONUDH \
  | 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: ad0c4ed9ee811f95b2bc374da239b419e128ee8302910d73707c6b4450e7d930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b81f62f0f72937e1647adcfca7da71c2665edcb4271c0787213cbb1122eb315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-05T17:50:25Z",
    "title_canon_sha256": "ceaf3e1ca1ed1909e4943d1b2d9886c09ed27f6d43deda1d119d94c3a964a996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0733",
    "kind": "arxiv",
    "version": 1
  }
}