Pith Number

pith:MD2P72TH

pith:2015:MD2P72TH3EIICZSOGAT6AQOS5D

not attested not anchored not stored refs pending

On the Blow-up Criterion of Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces

Diego Marcon, Juliana S. Ziebell, Lineia Schutz, Wilberclay G. Melo

arxiv:1506.01383 v1 · 2015-06-03 · 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{MD2P72TH3EIICZSOGAT6AQOS5D}

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	2026-05-18T01:57:41.499629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60f4ffea67d91081664e3027e041d2e8e007c678037dc7cfd9c2136c9938e0af

Aliases

arxiv: 1506.01383 · arxiv_version: 1506.01383v1 · doi: 10.48550/arxiv.1506.01383 · pith_short_12: MD2P72TH3EII · pith_short_16: MD2P72TH3EIICZSO · pith_short_8: MD2P72TH

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/MD2P72TH3EIICZSOGAT6AQOS5D \
  | 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: 60f4ffea67d91081664e3027e041d2e8e007c678037dc7cfd9c2136c9938e0af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6fa040e1cd036937195c5569582e219feac1b507d59286cc16e0a308dca890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-03T20:00:50Z",
    "title_canon_sha256": "d316412650d42b843db8a1e21e4544253ef81fec7db78dfb399f6fb6733f89aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01383",
    "kind": "arxiv",
    "version": 1
  }
}