Pith Number

pith:53ZJ5ADD

pith:2011:53ZJ5ADDPHEYQWQYHDUCVOX2RR

not attested not anchored not stored refs pending

Norm inflation for incompressible magneto-hydrodynamic system ]{Norm inflation for incompressible magneto-hydrodynamic system in $\dot{B}_{\infty}^{-1,\infty}$

Jie Qing, Maria Schonbek, Mimi Dai

arxiv:1110.2472 v2 · 2011-10-11 · 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{53ZJ5ADDPHEYQWQYHDUCVOX2RR}

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	2026-05-18T04:11:06.994293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef29e806379c9885a1838e82abafa8c6d359fb396d19995a98520b19f671276

Aliases

arxiv: 1110.2472 · arxiv_version: 1110.2472v2 · doi: 10.48550/arxiv.1110.2472 · pith_short_12: 53ZJ5ADDPHEY · pith_short_16: 53ZJ5ADDPHEYQWQY · pith_short_8: 53ZJ5ADD

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/53ZJ5ADDPHEYQWQYHDUCVOX2RR \
  | 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: eef29e806379c9885a1838e82abafa8c6d359fb396d19995a98520b19f671276

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68cafa97e051ddfb82c20aaf3639c1e7007f0e3e69c18a966396ffe95add86d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-11T19:32:59Z",
    "title_canon_sha256": "f1818bdc216703fe99d787a659fb54344e009838bf938791e5c8cd7a9e1abf72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2472",
    "kind": "arxiv",
    "version": 2
  }
}