Pith Number

pith:OISRPHNJ

pith:2023:OISRPHNJVQQPVW6A7X2DRPGMYM

not attested not anchored not stored refs pending

Entropy-bounded solutions to the Cauchy problem of compressible planar non-resistive magnetohydrodynamics equations with far field vacuum

Jinkai Li, Mingjie Li, Xin Zhong, Yang Liu

arxiv:2302.08116 v1 · 2023-02-16 · 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{OISRPHNJVQQPVW6A7X2DRPGMYM}

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	2026-07-05T05:42:34.557601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7225179da9ac20fadbc0fdf438bcccc3349a041374f5d75dd0727565d4013c58

Aliases

arxiv: 2302.08116 · arxiv_version: 2302.08116v1 · doi: 10.48550/arxiv.2302.08116 · pith_short_12: OISRPHNJVQQP · pith_short_16: OISRPHNJVQQPVW6A · pith_short_8: OISRPHNJ

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/OISRPHNJVQQPVW6A7X2DRPGMYM \
  | 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: 7225179da9ac20fadbc0fdf438bcccc3349a041374f5d75dd0727565d4013c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56150d950fd328456add4a2fc9a98358c901d29284fa92f7388b65b0522f9f91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-02-16T06:45:29Z",
    "title_canon_sha256": "3416b733ac8b46608523ad1f1b53da7c51e4a97739c5754b4b25b9ba189db965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08116",
    "kind": "arxiv",
    "version": 1
  }
}