Pith Number

pith:CZH4BAGC

pith:2015:CZH4BAGCBVVMDD7OXDGS46GOK7

not attested not anchored not stored refs pending

On Local Strong Solutions to the Cauchy Problem of Two-Dimensional Density-Dependent Magnetohydrodynamic Equations with Vacuum

Boqiang Lv, Xin Zhong, Zhonghai Xu

arxiv:1506.02156 v1 · 2015-06-06 · 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{CZH4BAGCBVVMDD7OXDGS46GOK7}

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	2026-05-18T01:46:14.521335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164fc080c20d6ac18feeb8cd2e78ce57f4ae46935870d0d5738e1b49dd6c1a71

Aliases

arxiv: 1506.02156 · arxiv_version: 1506.02156v1 · doi: 10.48550/arxiv.1506.02156 · pith_short_12: CZH4BAGCBVVM · pith_short_16: CZH4BAGCBVVMDD7O · pith_short_8: CZH4BAGC

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/CZH4BAGCBVVMDD7OXDGS46GOK7 \
  | 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: 164fc080c20d6ac18feeb8cd2e78ce57f4ae46935870d0d5738e1b49dd6c1a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd28ae11b9bc4273f7e6958215d0fcca3d16f20ff28a9cd1dad06c05d7b55fe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-06T14:39:47Z",
    "title_canon_sha256": "4f4521b34d49a182b15b95bfcc7b5b3f0adb56e5e8653eb867de99fda95ad21f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02156",
    "kind": "arxiv",
    "version": 1
  }
}