Pith Number

pith:RDN3TFCH

pith:2015:RDN3TFCHYY4QPCZOWGSMBRSECZ

not attested not anchored not stored refs pending

Global Existence and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of 2D Density-Dependent Magnetohydrodynamic Equations with Vacuum

Boqiang Lv, Xin Zhong, Zhonghai Xu

arxiv:1506.03884 v1 · 2015-06-12 · 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{RDN3TFCHYY4QPCZOWGSMBRSECZ}

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	2026-05-18T00:38:32.200736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88dbb99447c639078b2eb1a4c0c644167727b51921d47e52a45f6b9032fa4247

Aliases

arxiv: 1506.03884 · arxiv_version: 1506.03884v1 · doi: 10.48550/arxiv.1506.03884 · pith_short_12: RDN3TFCHYY4Q · pith_short_16: RDN3TFCHYY4QPCZO · pith_short_8: RDN3TFCH

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/RDN3TFCHYY4QPCZOWGSMBRSECZ \
  | 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: 88dbb99447c639078b2eb1a4c0c644167727b51921d47e52a45f6b9032fa4247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ad35cc16738dc82fcf6c04ecea91366bddd9e441e4e3d7954376a9ffd8ffd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-12T01:12:05Z",
    "title_canon_sha256": "e48fd1d6513aa318a1d38b0a80b753fbf02502a7597585d897b52626bfafe6a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03884",
    "kind": "arxiv",
    "version": 1
  }
}