Pith Number

pith:MFACOMTT

pith:2025:MFACOMTTYZOOK3HM62AXXESNZR

not attested not anchored not stored refs pending

Point Singularities of Solutions to the Stationary Incompressible MHD Equations

Kui Wang, Shaoheng Zhang, Yun Wang

arxiv:2504.09607 v1 · 2025-04-13 · 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{MFACOMTTYZOOK3HM62AXXESNZR}

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	2026-07-05T10:48:39.931771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6140273273c65ce56cecf6817b924dcc4535f2a238c0f0e243c085af33fd0506

Aliases

arxiv: 2504.09607 · arxiv_version: 2504.09607v1 · doi: 10.48550/arxiv.2504.09607 · pith_short_12: MFACOMTTYZOO · pith_short_16: MFACOMTTYZOOK3HM · pith_short_8: MFACOMTT

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/MFACOMTTYZOOK3HM62AXXESNZR \
  | 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: 6140273273c65ce56cecf6817b924dcc4535f2a238c0f0e243c085af33fd0506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "262a5b6d224e0f61eacd067450248e4e434ea57a7255789fc67afb6fa2008f58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-13T14:56:22Z",
    "title_canon_sha256": "59fef1c6b0c0ba01d34e69e15db6bb3ff5e435cf71037b07c344d088f2e03ed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09607",
    "kind": "arxiv",
    "version": 1
  }
}