Pith Number

pith:D3NPJUWB

pith:2018:D3NPJUWBFNHFQ5QJKW2737J2FU

not attested not anchored not stored refs pending

Non-unique weak solutions in Leray-Hopf class of the 3D Hall-MHD system

Mimi Dai

arxiv:1812.11311 v5 · 2018-12-29 · 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{D3NPJUWBFNHFQ5QJKW2737J2FU}

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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.

Cited by

1 paper in Pith

Weak solutions of ideal MHD which do not conserve magnetic helicity

Receipt and verification

First computed	2026-07-05T02:56:35.250585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1edaf4d2c12b4e58760955b5fdfd3a2d23b0f9e0c6202b21e06e505187cbb8f1

Aliases

arxiv: 1812.11311 · arxiv_version: 1812.11311v5 · doi: 10.48550/arxiv.1812.11311 · pith_short_12: D3NPJUWBFNHF · pith_short_16: D3NPJUWBFNHFQ5QJ · pith_short_8: D3NPJUWB

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/D3NPJUWBFNHFQ5QJKW2737J2FU \
  | 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: 1edaf4d2c12b4e58760955b5fdfd3a2d23b0f9e0c6202b21e06e505187cbb8f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de580a28faa90d827b0246c004e520336c5f4b52001bce9156d7680c5ace30e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-29T08:23:01Z",
    "title_canon_sha256": "458d84adbab0263185cfb7318a3c7be649fefdabef424b0e1b8077c93fe9b7c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11311",
    "kind": "arxiv",
    "version": 5
  }
}