Pith Number

pith:ISNBSTFK

pith:2024:ISNBSTFKWDU24ZKNTZNLFYRR2K

not attested not anchored not stored refs pending

Non-uniqueness of Leray weak solutions of the forced MHD equations

Fei Xu, Jun Wang, Yong Zhang

arxiv:2407.06565 v1 · 2024-07-09 · 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{ISNBSTFKWDU24ZKNTZNLFYRR2K}

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	2026-07-05T08:41:50.297374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

449a194caab0e9ae654d9e5ab2e231d2938c0855bd552781f21c56926254fdaf

Aliases

arxiv: 2407.06565 · arxiv_version: 2407.06565v1 · doi: 10.48550/arxiv.2407.06565 · pith_short_12: ISNBSTFKWDU2 · pith_short_16: ISNBSTFKWDU24ZKN · pith_short_8: ISNBSTFK

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/ISNBSTFKWDU24ZKNTZNLFYRR2K \
  | 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: 449a194caab0e9ae654d9e5ab2e231d2938c0855bd552781f21c56926254fdaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a234285680f9ad0c79a537708a1f34084d1e86c590e3d7ca59a6c6e9225e21",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-09T05:46:43Z",
    "title_canon_sha256": "e08c4bcbc744d1740b9cfb55d450c372974cbd429feaa51493fcda5cf9fcd07c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.06565",
    "kind": "arxiv",
    "version": 1
  }
}