Pith Number

pith:7I67NEJK

pith:2014:7I67NEJKH6U4URUWEVZ3FPCXSG

not attested not anchored not stored refs pending

Blow-up criterion for the $3$D non-resistive compressible Magnetohydrodynamic equations

Shengguo Zhu, Shuai Xi

arxiv:1407.7831 v4 · 2014-07-29 · 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{7I67NEJKH6U4URUWEVZ3FPCXSG}

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	2026-05-18T00:13:22.358039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa3df6912a3fa9ca46962573b2bc5791b208305377436bfecf63a7ff056b697e

Aliases

arxiv: 1407.7831 · arxiv_version: 1407.7831v4 · doi: 10.48550/arxiv.1407.7831 · pith_short_12: 7I67NEJKH6U4 · pith_short_16: 7I67NEJKH6U4URUW · pith_short_8: 7I67NEJK

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/7I67NEJKH6U4URUWEVZ3FPCXSG \
  | 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: fa3df6912a3fa9ca46962573b2bc5791b208305377436bfecf63a7ff056b697e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da71ca6c4840859bd6a9dd574a59e74f3fff2435b07220a564099bfce514cb9f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-29T19:21:14Z",
    "title_canon_sha256": "529ca87123c89b708f7f3d455af73ed7219471db8dbaff7a6a07fd5184715129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7831",
    "kind": "arxiv",
    "version": 4
  }
}