Pith Number

pith:2P7HJBOX

pith:2023:2P7HJBOX3BSFZFNRV66LTPRPZE

not attested not anchored not stored refs pending

Global Strong Solutions to the incompressible Magnetohydrodynamic Equations with Density-Dependent Viscosity and Vacuum in 3D Exterior Domains

Bing Yuan, Peng Zhou, Rong Zhang

arxiv:2311.12873 v1 · 2023-11-19 · 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{2P7HJBOX3BSFZFNRV66LTPRPZE}

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	2026-07-05T10:15:42.008092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3fe7485d7d8645c95b1afbcb9be2fc93fc20920f3e7231c870f30d36daebc1d

Aliases

arxiv: 2311.12873 · arxiv_version: 2311.12873v1 · doi: 10.48550/arxiv.2311.12873 · pith_short_12: 2P7HJBOX3BSF · pith_short_16: 2P7HJBOX3BSFZFNR · pith_short_8: 2P7HJBOX

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/2P7HJBOX3BSFZFNRV66LTPRPZE \
  | 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: d3fe7485d7d8645c95b1afbcb9be2fc93fc20920f3e7231c870f30d36daebc1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc5a6448d372441fe323d824d4327966d11d687ef423bfc5ed7d538f44390293",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-11-19T09:57:00Z",
    "title_canon_sha256": "b92859a0b0c3d0df80b5b7c1b6af6b531dd8309b588a58995de555c8db0cb05b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.12873",
    "kind": "arxiv",
    "version": 1
  }
}