Pith Number

pith:4WJPCPZY

pith:2017:4WJPCPZYQZRZE7VPGSEVX3HOLN

not attested not anchored not stored refs pending

Large time behavior of strong solutions to the compressible magnetohydrodynamic system in the critical $L^{p}$ framework

Jiang Xu, Weixuan Shi

arxiv:1710.00154 v1 · 2017-09-30 · 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{4WJPCPZYQZRZE7VPGSEVX3HOLN}

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	2026-05-18T00:33:57.690088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e592f13f388663927eaf34895becee5b445af2a64da737f4f91f4dbf56ee5560

Aliases

arxiv: 1710.00154 · arxiv_version: 1710.00154v1 · doi: 10.48550/arxiv.1710.00154 · pith_short_12: 4WJPCPZYQZRZ · pith_short_16: 4WJPCPZYQZRZE7VP · pith_short_8: 4WJPCPZY

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/4WJPCPZYQZRZE7VPGSEVX3HOLN \
  | 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: e592f13f388663927eaf34895becee5b445af2a64da737f4f91f4dbf56ee5560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475b93f608361e23952045db4e0df47225f25601c77c90c54ce6aad864a79cc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-30T06:04:11Z",
    "title_canon_sha256": "2a3faf5be09a9b1317fd260da9b07242c4aec09bc9762a37c24a35f15708faa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00154",
    "kind": "arxiv",
    "version": 1
  }
}