Pith Number

pith:B4EKVEWU

pith:2011:B4EKVEWUCWMA2EHM3VEK4N5G4X

not attested not anchored not stored refs pending

Life-Span of Solutions to Critical Semilinear Wave Equations

Wei Han, Yi Zhou

arxiv:1103.3758 v1 · 2011-03-19 · 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{B4EKVEWUCWMA2EHM3VEK4N5G4X}

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	2026-05-18T04:26:22.385417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f08aa92d415980d10ecdd48ae37a6e5dc74aa79d8e9cfe6a75110bf23093912

Aliases

arxiv: 1103.3758 · arxiv_version: 1103.3758v1 · doi: 10.48550/arxiv.1103.3758 · pith_short_12: B4EKVEWUCWMA · pith_short_16: B4EKVEWUCWMA2EHM · pith_short_8: B4EKVEWU

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/B4EKVEWUCWMA2EHM3VEK4N5G4X \
  | 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: 0f08aa92d415980d10ecdd48ae37a6e5dc74aa79d8e9cfe6a75110bf23093912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39bb74074e46d76a9d3f27a094f40824dfea35a9fe2e4a4626568b13a1b40303",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-19T06:28:56Z",
    "title_canon_sha256": "78668ddd662ec5915c1df3423530cc292403175519901451e085f1ac1079204a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3758",
    "kind": "arxiv",
    "version": 1
  }
}