Pith Number

pith:KJD5WNWF

pith:2012:KJD5WNWFDDKTYAGRA6HYXDFUT2

not attested not anchored not stored refs pending

Some qualitative properties of the solutions of the Magnetohydrodynamic equations for nonlinear bipolar fluids

Paul Andre Razafimandimby

arxiv:1206.1169 v2 · 2012-06-06 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJD5WNWFDDKTYAGRA6HYXDFUT2}

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	2026-05-18T01:37:23.710980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5247db36c518d53c00d1078f8b8cb49ea4db6687c89ffb431ee7d3d69775c7d9

Aliases

arxiv: 1206.1169 · arxiv_version: 1206.1169v2 · doi: 10.48550/arxiv.1206.1169 · pith_short_12: KJD5WNWFDDKT · pith_short_16: KJD5WNWFDDKTYAGR · pith_short_8: KJD5WNWF

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/KJD5WNWFDDKTYAGRA6HYXDFUT2 \
  | 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: 5247db36c518d53c00d1078f8b8cb49ea4db6687c89ffb431ee7d3d69775c7d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47d47be4a613d05c1acac66132cfe842314987fdc7ecc4d8c5334e654a5e0729",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-06T10:29:56Z",
    "title_canon_sha256": "f6b6858577254a7329c5f8ca1128e375a65a41f6c30744e87017ab55a679d4be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1169",
    "kind": "arxiv",
    "version": 2
  }
}