Pith Number

pith:DPWFVERJ

pith:2015:DPWFVERJYPSRWLPSBJXRDHDEFK

not attested not anchored not stored refs pending

Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations

Gang Wu, Wei Ren, Yanqing Wang

arxiv:1505.05585 v1 · 2015-05-21 · 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{DPWFVERJYPSRWLPSBJXRDHDEFK}

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	2026-05-18T01:04:22.856381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bec5a9229c3e51b2df20a6f119c642a9bd1867153f3cde3de02b7cf2bc09f86

Aliases

arxiv: 1505.05585 · arxiv_version: 1505.05585v1 · doi: 10.48550/arxiv.1505.05585 · pith_short_12: DPWFVERJYPSR · pith_short_16: DPWFVERJYPSRWLPS · pith_short_8: DPWFVERJ

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/DPWFVERJYPSRWLPSBJXRDHDEFK \
  | 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: 1bec5a9229c3e51b2df20a6f119c642a9bd1867153f3cde3de02b7cf2bc09f86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80fd92e346efa70e77143700d6dacbc8b0e603c39b186e8f503f621b5579671b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-21T02:02:11Z",
    "title_canon_sha256": "def293a02ad4800047514454cd954af9e7b52bcdab17237423f2e26e0528efcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05585",
    "kind": "arxiv",
    "version": 1
  }
}