Pith Number

pith:ZTJ752GS

pith:2026:ZTJ752GSKXRCWN33WICUW4TD53

not attested not anchored not stored refs pending

Global uniform regularity and large time behavior of solutions to three dimensional compressible MHD equations with vanishing vertical magnetic resistivity in half space

Feng Xie, Jiahong Wu, Song Gao

arxiv:2607.19710 v1 · 2026-07-22 · 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{ZTJ752GSKXRCWN33WICUW4TD53}

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	2026-07-23T00:24:04.965558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd3fee8d255e22b377bb2054b7263eef7a6d173b5b78379aa70f0998636e2c3

Aliases

arxiv: 2607.19710 · arxiv_version: 2607.19710v1 · doi: 10.48550/arxiv.2607.19710 · pith_short_12: ZTJ752GSKXRC · pith_short_16: ZTJ752GSKXRCWN33 · pith_short_8: ZTJ752GS

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/ZTJ752GSKXRCWN33WICUW4TD53 \
  | 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: ccd3fee8d255e22b377bb2054b7263eef7a6d173b5b78379aa70f0998636e2c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd2551a5c1f699982d487c35c6b2b74b121ab0a53ba051a16cee258b56c9e3ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-22T03:26:22Z",
    "title_canon_sha256": "3e93ef1a86634d8557dcda44e8ba873ad9b6ebc49db0e68b13c518d589f3bb69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19710",
    "kind": "arxiv",
    "version": 1
  }
}