Pith Number

pith:HAR774LJ

pith:2022:HAR774LJPD6WVXBKHKV6JO75WE

not attested not anchored not stored refs pending

Long time well-posedness of compressible magnetohydrodynamics boundary layer equations in Sobolev space

Feng Xie, Shengxin Li

arxiv:2208.00186 v1 · 2022-07-30 · 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{HAR774LJPD6WVXBKHKV6JO75WE}

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	2026-07-05T04:44:48.690953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3823fff16978fd6adc2a3aabe4bbfdb100c4340ebe61b9333060163164b0e261

Aliases

arxiv: 2208.00186 · arxiv_version: 2208.00186v1 · doi: 10.48550/arxiv.2208.00186 · pith_short_12: HAR774LJPD6W · pith_short_16: HAR774LJPD6WVXBK · pith_short_8: HAR774LJ

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/HAR774LJPD6WVXBKHKV6JO75WE \
  | 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: 3823fff16978fd6adc2a3aabe4bbfdb100c4340ebe61b9333060163164b0e261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e00b8113881953e9aaea35c5f2f162d65aa38c6f007cb271767f4cf9cfadff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-07-30T10:59:27Z",
    "title_canon_sha256": "160bedf871d7d99b4e43510c1cb917862d4923014f9693449d1f69d69ebb4eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.00186",
    "kind": "arxiv",
    "version": 1
  }
}