Pith Number

pith:AVBNF2W4

pith:2015:AVBNF2W4LCRZBZBLSEVRQB6MFY

not attested not anchored not stored refs pending

Global classical solution to 3D compressible magnetohydrodynamic equations with large initial data and vacuum

Changjiang Zhu, Guangyi Hong, Hongyun Peng, Xiaofeng Hou

arxiv:1503.03143 v1 · 2015-03-11 · 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{AVBNF2W4LCRZBZBLSEVRQB6MFY}

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	2026-05-18T02:25:04.218536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0542d2eadc58a390e42b912b1807cc2e018263e05d98f474fea4c47056244472

Aliases

arxiv: 1503.03143 · arxiv_version: 1503.03143v1 · doi: 10.48550/arxiv.1503.03143 · pith_short_12: AVBNF2W4LCRZ · pith_short_16: AVBNF2W4LCRZBZBL · pith_short_8: AVBNF2W4

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/AVBNF2W4LCRZBZBLSEVRQB6MFY \
  | 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: 0542d2eadc58a390e42b912b1807cc2e018263e05d98f474fea4c47056244472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aabac5e22d80797869cfdc5f10758b181c711d25741f8dbed5fad6eb12a34a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-11T01:24:46Z",
    "title_canon_sha256": "e50df4247173785de78a805f42ab0110c6cab14e54818a21f43c761b3c6423b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03143",
    "kind": "arxiv",
    "version": 1
  }
}