Pith Number

pith:R26WPDJU

pith:2011:R26WPDJUYHCCZUGJOD6ZAR5YDA

not attested not anchored not stored refs pending

Existence of weak solutions to the three-dimensional density-dependent generalized incompressible magnetohydrodynamic flows

Weiping Yan

arxiv:1112.4121 v2 · 2011-12-18 · math.DS · 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{R26WPDJUYHCCZUGJOD6ZAR5YDA}

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	2026-05-18T02:53:54.321111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ebd678d34c1c42cd0c970fd9047b8183206f6049ac80f62f34b54581725cd9d

Aliases

arxiv: 1112.4121 · arxiv_version: 1112.4121v2 · doi: 10.48550/arxiv.1112.4121 · pith_short_12: R26WPDJUYHCC · pith_short_16: R26WPDJUYHCCZUGJ · pith_short_8: R26WPDJU

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/R26WPDJUYHCCZUGJOD6ZAR5YDA \
  | 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: 8ebd678d34c1c42cd0c970fd9047b8183206f6049ac80f62f34b54581725cd9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7effc371a9ace90c5e282c4a8a20e7e85657f4e7cafc6fdf71109d279fde5e57",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-18T06:45:37Z",
    "title_canon_sha256": "4eba02cf48f480e79dff03336f0a03f1a3edd80c742caa5087d435953686fd47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4121",
    "kind": "arxiv",
    "version": 2
  }
}