Pith Number

pith:HWAM6YBG

pith:2026:HWAM6YBGZYW2B34KXNEVOO7UTJ

not attested not anchored not stored refs pending

Sharp non-uniqueness of weak solutions to 2D magnetohydrodynamic equations

Changxing Miao, Weikui Ye, Yao Nie

arxiv:2605.25097 v1 · 2026-05-24 · 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{HWAM6YBGZYW2B34KXNEVOO7UTJ}

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	2026-05-26T02:04:17.768383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d80cf6026ce2da0ef8abb49573bf49a65468f88b3d732b72337223dcc4e8bd5

Aliases

arxiv: 2605.25097 · arxiv_version: 2605.25097v1 · doi: 10.48550/arxiv.2605.25097 · pith_short_12: HWAM6YBGZYW2 · pith_short_16: HWAM6YBGZYW2B34K · pith_short_8: HWAM6YBG

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/HWAM6YBGZYW2B34KXNEVOO7UTJ \
  | 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: 3d80cf6026ce2da0ef8abb49573bf49a65468f88b3d732b72337223dcc4e8bd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c5ea9aad31422c13848f417a9e92dad336aab816a473b19d063a890d6e0f82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-24T14:18:28Z",
    "title_canon_sha256": "89f52d34fe903ca617334d421086a97db509e5a53ff40b876e717e9f607d1212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25097",
    "kind": "arxiv",
    "version": 1
  }
}