Pith Number

pith:GHL4XIJA

pith:2010:GHL4XIJAV5EO27VDDNBOEYDN23

not attested not anchored not stored refs pending

On almost global existence and local well-posedness for some 3-D quasi-linear wave equations

Chengbo Wang, Kazuyoshi Yokoyama, Kunio Hidano

arxiv:1004.3349 v2 · 2010-04-20 · 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{GHL4XIJAV5EO27VDDNBOEYDN23}

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	2026-05-18T03:58:48.903538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d7cba120af48ed7ea31b42e2606dd6d951f0884265e1dbdc5abf09bbd967b3

Aliases

arxiv: 1004.3349 · arxiv_version: 1004.3349v2 · doi: 10.48550/arxiv.1004.3349 · pith_short_12: GHL4XIJAV5EO · pith_short_16: GHL4XIJAV5EO27VD · pith_short_8: GHL4XIJA

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/GHL4XIJAV5EO27VDDNBOEYDN23 \
  | 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: 31d7cba120af48ed7ea31b42e2606dd6d951f0884265e1dbdc5abf09bbd967b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b61c60be21b3fd967afef8491e4cbf3f20a258a19356b6a99a7586260beab7a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-20T05:11:37Z",
    "title_canon_sha256": "6c26679c9a3c88d68f8f8bfccc8d57dcd4a980260322df0465fe37665421c20c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3349",
    "kind": "arxiv",
    "version": 2
  }
}