Pith Number

pith:WQQ5AXJ2

pith:2017:WQQ5AXJ24FZBKD7W67MOSLDVTQ

not attested not anchored not stored refs pending

On formation of singularity of the full compressible magnetohydrodynamic equations with zero heat conduction

Xin Zhong

arxiv:1705.06606 v2 · 2017-05-17 · 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{WQQ5AXJ24FZBKD7W67MOSLDVTQ}

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	2026-05-18T00:35:10.544480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b421d05d3ae172150ff6f7d8e92c759c1ceb5a0c4778a1f8c236f60d11714eb1

Aliases

arxiv: 1705.06606 · arxiv_version: 1705.06606v2 · doi: 10.48550/arxiv.1705.06606 · pith_short_12: WQQ5AXJ24FZB · pith_short_16: WQQ5AXJ24FZBKD7W · pith_short_8: WQQ5AXJ2

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/WQQ5AXJ24FZBKD7W67MOSLDVTQ \
  | 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: b421d05d3ae172150ff6f7d8e92c759c1ceb5a0c4778a1f8c236f60d11714eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252eb1d996c79fc61145a52e8e3b809f0e9ab013483febcf58864087d441e434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-17T13:24:00Z",
    "title_canon_sha256": "fbf048a5b0ef0ef13bf4dc41fe522c6efb36f56fd9378092b39d8c38cc15d7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06606",
    "kind": "arxiv",
    "version": 2
  }
}