Pith Number

pith:54XWGNEE

pith:2012:54XWGNEESRTZVQYQ3U3SNFX7P4

not attested not anchored not stored refs pending

Vanishing Viscous Limits for 3D Navier-Stokes Equations with A Navier-Slip Boundary Condition

Aibin Zang, Lizhen Wang, Zhouping Xin

arxiv:1201.1986 v2 · 2012-01-10 · 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{54XWGNEESRTZVQYQ3U3SNFX7P4}

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	2026-05-18T01:58:53.575616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2f63348494679ac310dd372696ff7f1824ebf14124999238178aeca7cd5453

Aliases

arxiv: 1201.1986 · arxiv_version: 1201.1986v2 · doi: 10.48550/arxiv.1201.1986 · pith_short_12: 54XWGNEESRTZ · pith_short_16: 54XWGNEESRTZVQYQ · pith_short_8: 54XWGNEE

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/54XWGNEESRTZVQYQ3U3SNFX7P4 \
  | 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: ef2f63348494679ac310dd372696ff7f1824ebf14124999238178aeca7cd5453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ad5c278737033d0b89d26c4366d69da5eeb80f2f211a6de188b68c67769574",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-10T08:47:25Z",
    "title_canon_sha256": "12dcc7023cdd6aff92cad2a295835a4645ff0e059687e42b099a0f2e789f65c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1986",
    "kind": "arxiv",
    "version": 2
  }
}