Pith Number

pith:P4BMQ4EF

pith:2024:P4BMQ4EFDZVE4JHOV7WDOLSAEN

not attested not anchored not stored refs pending

On the regularity of magneto-vorticity field and the global existence for the Hall magnetohydrodynamic equations

Hantaek Bae, Jaeyong Shin, Kyungkeun Kang

arxiv:2409.15847 v1 · 2024-09-24 · 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{P4BMQ4EFDZVE4JHOV7WDOLSAEN}

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	2026-07-02T01:17:11.445952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f02c870851e6a4e24eeafec372e40236824a843fb8d111d402728a672f92f9d

Aliases

arxiv: 2409.15847 · arxiv_version: 2409.15847v1 · doi: 10.48550/arxiv.2409.15847 · pith_short_12: P4BMQ4EFDZVE · pith_short_16: P4BMQ4EFDZVE4JHO · pith_short_8: P4BMQ4EF

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/P4BMQ4EFDZVE4JHOV7WDOLSAEN \
  | 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: 7f02c870851e6a4e24eeafec372e40236824a843fb8d111d402728a672f92f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af20577c1d28aac5a828bd0747bc27cd9c9f197e43260299d55f2cc7ceb4b86c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-24T08:17:59Z",
    "title_canon_sha256": "a9e81eb9438cd51cf456a9ab2e0ed29d95a8d46504ca3b27caae710c10aaa2d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.15847",
    "kind": "arxiv",
    "version": 1
  }
}