Pith Number

pith:E4VMARZJ

pith:2010:E4VMARZJWVNAK4BJENK2AAWKTG

not attested not anchored not stored refs pending

Global Existence of the Critical Semilinear Wave Equations with Variable Coefficients Outside Obstacles

Ning-An Lai, Yi Zhou

arxiv:1003.1820 v1 · 2010-03-09 · 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{E4VMARZJWVNAK4BJENK2AAWKTG}

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	2026-05-18T04:00:39.565221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272ac04729b55a0570292355a002ca9989566c4e08ad8335ad70268e91bdd735

Aliases

arxiv: 1003.1820 · arxiv_version: 1003.1820v1 · doi: 10.48550/arxiv.1003.1820 · pith_short_12: E4VMARZJWVNA · pith_short_16: E4VMARZJWVNAK4BJ · pith_short_8: E4VMARZJ

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/E4VMARZJWVNAK4BJENK2AAWKTG \
  | 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: 272ac04729b55a0570292355a002ca9989566c4e08ad8335ad70268e91bdd735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "683357a1a1f5efcd67a7a0d079bdf1b23143abf0782c0a35486af0caf103466d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-09T07:43:36Z",
    "title_canon_sha256": "cb55fb876da362a1f5e4954cdfe2858c6add7ae82de37b6f50719aa0ec40f32b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1820",
    "kind": "arxiv",
    "version": 1
  }
}