Pith Number

pith:XJ3GHFCZ

pith:2012:XJ3GHFCZ34SP6QDKLMXFXFJYDE

not attested not anchored not stored refs pending

On the non-homogeneous Navier-Stokes system with Navier friction boundary conditions

Elder J. Villamizar-Roa, Gabriela Planas, Lucas C. F. Ferreira

arxiv:1210.1285 v1 · 2012-10-04 · 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{XJ3GHFCZ34SP6QDKLMXFXFJYDE}

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	2026-05-18T03:44:04.903175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba76639459df24ff406a5b2e5b95381909ab377daca689406308ed78e80f77ad

Aliases

arxiv: 1210.1285 · arxiv_version: 1210.1285v1 · doi: 10.48550/arxiv.1210.1285 · pith_short_12: XJ3GHFCZ34SP · pith_short_16: XJ3GHFCZ34SP6QDK · pith_short_8: XJ3GHFCZ

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/XJ3GHFCZ34SP6QDKLMXFXFJYDE \
  | 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: ba76639459df24ff406a5b2e5b95381909ab377daca689406308ed78e80f77ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d317b03fb6930bf9f847952f12f20e6f8436f16ce271f42e6fc84316083dafe3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-04T03:26:33Z",
    "title_canon_sha256": "4fc6151c2cca6bc2cc4589f6a3e76c08b01cf1af70eb601664ebf92d1ce5c150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1285",
    "kind": "arxiv",
    "version": 1
  }
}