Pith Number

pith:MVGHFY4K

pith:2015:MVGHFY4KBSKYEGVHA5PYMCFUCO

not attested not anchored not stored refs pending

A blow-up criterion of strong solutions to the 2D compressible magnetohydrodynamic equations

Teng Wang

arxiv:1501.05417 v1 · 2015-01-22 · 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{MVGHFY4KBSKYEGVHA5PYMCFUCO}

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	2026-05-18T02:28:54.663960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654c72e38a0c95821aa7075f8608b413b487c3f5552af080e9167bfeafb0ae82

Aliases

arxiv: 1501.05417 · arxiv_version: 1501.05417v1 · doi: 10.48550/arxiv.1501.05417 · pith_short_12: MVGHFY4KBSKY · pith_short_16: MVGHFY4KBSKYEGVH · pith_short_8: MVGHFY4K

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/MVGHFY4KBSKYEGVHA5PYMCFUCO \
  | 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: 654c72e38a0c95821aa7075f8608b413b487c3f5552af080e9167bfeafb0ae82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebeb56b7a75e358eb788d304449f8f5539cec3318624c311b14f5813cfe4cd47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-22T08:08:13Z",
    "title_canon_sha256": "c022478f6152426c070175f9293875d9af2687ceda08572c8c5d743a65e481c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05417",
    "kind": "arxiv",
    "version": 1
  }
}