Pith Number

pith:UGC3VPKC

pith:2012:UGC3VPKCQ26BL7QTMCD5KTWJYG

not attested not anchored not stored refs pending

On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution

Erika Hausenblas, Paul Andre Razafimandimby

arxiv:1206.1172 v7 · 2012-06-06 · math.PR · 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{UGC3VPKCQ26BL7QTMCD5KTWJYG}

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	2026-05-18T02:51:57.268674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a185babd4286bc15fe136087d54ec9c191a70170a3122c31be1fef59f5195f4f

Aliases

arxiv: 1206.1172 · arxiv_version: 1206.1172v7 · doi: 10.48550/arxiv.1206.1172 · pith_short_12: UGC3VPKCQ26B · pith_short_16: UGC3VPKCQ26BL7QT · pith_short_8: UGC3VPKC

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/UGC3VPKCQ26BL7QTMCD5KTWJYG \
  | 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: a185babd4286bc15fe136087d54ec9c191a70170a3122c31be1fef59f5195f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4437c81e89a138d459a35496b6a6bee370684675880fd77e783dbb79f9b6d3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-06T10:33:53Z",
    "title_canon_sha256": "4884f66d1926f3a74ae6327aee1737f3201c12aa0afa6ca8a26635166d2c05ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1172",
    "kind": "arxiv",
    "version": 7
  }
}