Pith Number

pith:4SHXHY7G

pith:2020:4SHXHY7GNKK3Z6WBZPVOHGQ5XP

not attested not anchored not stored refs pending

On 3D Hall-MHD equations with fractional Laplacians: global well-posedness

Huali Zhang, Kun Zhao

arxiv:2012.02382 v2 · 2020-12-04 · 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{4SHXHY7GNKK3Z6WBZPVOHGQ5XP}

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	2026-07-05T03:06:15.594249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48f73e3e66a95bcfac1cbeae39a1dbbd63c34d2d25b6f7a3112f99f51526a7e

Aliases

arxiv: 2012.02382 · arxiv_version: 2012.02382v2 · doi: 10.48550/arxiv.2012.02382 · pith_short_12: 4SHXHY7GNKK3 · pith_short_16: 4SHXHY7GNKK3Z6WB · pith_short_8: 4SHXHY7G

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/4SHXHY7GNKK3Z6WBZPVOHGQ5XP \
  | 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: e48f73e3e66a95bcfac1cbeae39a1dbbd63c34d2d25b6f7a3112f99f51526a7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b4efa567d4135685d8520f4c1ba69ed606910bcd7227022178e155f9ad96b4f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-04T03:28:32Z",
    "title_canon_sha256": "3ca5ca85ddaff98fc9a3c88ac9b1e6d1cc7089eece9d6a8dde261b29ad160acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.02382",
    "kind": "arxiv",
    "version": 2
  }
}