Pith Number

pith:WZ4RGLUB

pith:2013:WZ4RGLUBRHHKSRZZPMEVHBV2CU

not attested not anchored not stored refs pending

Asymptotic behaviour of solutions to the stationary Navier-Stokes equations in two dimensional exterior domains with zero velocity at infinity

Julien Guillod, Peter Wittwer

arxiv:1307.6807 v1 · 2013-07-25 · physics.flu-dyn · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZ4RGLUBRHHKSRZZPMEVHBV2CU}

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	2026-05-18T01:15:53.582274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b679132e8189cea947397b095386ba150d69c8fb767816815a3deabe49e24477

Aliases

arxiv: 1307.6807 · arxiv_version: 1307.6807v1 · doi: 10.48550/arxiv.1307.6807 · pith_short_12: WZ4RGLUBRHHK · pith_short_16: WZ4RGLUBRHHKSRZZ · pith_short_8: WZ4RGLUB

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/WZ4RGLUBRHHKSRZZPMEVHBV2CU \
  | 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: b679132e8189cea947397b095386ba150d69c8fb767816815a3deabe49e24477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e8e12d8b936577aa708de927e8de706c8b8d7c9a9208a2e5b39f6ebf7f85f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-07-25T16:31:27Z",
    "title_canon_sha256": "c62fb96ce9a2af5add23dec38879a369ef1620ddc92be92426a678c39e33a9e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6807",
    "kind": "arxiv",
    "version": 1
  }
}