Pith Number

pith:5R7X42JV

pith:2019:5R7X42JVRH6CFUBHXIXCEKKSHO

not attested not anchored not stored refs pending

Optimal decay for the compressible MHD equations in the critical regularity framework

Qiru Wang, Qunyi Bie, Zheng-an Yao

arxiv:1906.09119 v1 · 2019-06-20 · 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{5R7X42JVRH6CFUBHXIXCEKKSHO}

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	2026-05-17T23:42:44.474213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7f7e693589fc22d027ba2e2229523bbc92a177cfcb2d981f3b9c6f16834893

Aliases

arxiv: 1906.09119 · arxiv_version: 1906.09119v1 · doi: 10.48550/arxiv.1906.09119 · pith_short_12: 5R7X42JVRH6C · pith_short_16: 5R7X42JVRH6CFUBH · pith_short_8: 5R7X42JV

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/5R7X42JVRH6CFUBHXIXCEKKSHO \
  | 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: ec7f7e693589fc22d027ba2e2229523bbc92a177cfcb2d981f3b9c6f16834893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c245a2d36510ab5787ae2c992f4ed55e03b6c475bc60ce6da4277709b89c14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-20T12:04:26Z",
    "title_canon_sha256": "24a02c7cd861803a910e7db20a1d9fac8be19bb065b1f6761331b49302f56beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09119",
    "kind": "arxiv",
    "version": 1
  }
}