Pith Number

pith:WLBJD4BE

pith:2013:WLBJD4BEW6PN5EOL2BHZ7LJJU7

not attested not anchored not stored refs pending

Planar limits of three-dimensional incompressible flows with helical symmetry

Anna L. Mazzucato, Dongjuan Niu, Edriss S. Titi, Helena J. Nussenzveig Lopes, Milton C. Lopes Filho

arxiv:1304.2082 v1 · 2013-04-08 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLBJD4BEW6PN5EOL2BHZ7LJJU7}

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	2026-05-18T01:50:41.798257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2c291f024b79ede91cbd04f9fad29a7e93c26a09b3ff2a254a1ebcc91b56f34

Aliases

arxiv: 1304.2082 · arxiv_version: 1304.2082v1 · doi: 10.48550/arxiv.1304.2082 · pith_short_12: WLBJD4BEW6PN · pith_short_16: WLBJD4BEW6PN5EOL · pith_short_8: WLBJD4BE

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/WLBJD4BEW6PN5EOL2BHZ7LJJU7 \
  | 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: b2c291f024b79ede91cbd04f9fad29a7e93c26a09b3ff2a254a1ebcc91b56f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22528ca860a09bc267b7ee4727cf1d811bcd62d5ad064874a485a1da2136635",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-08T00:44:12Z",
    "title_canon_sha256": "0ac17120be22fab3f748f4258766f6f5c66f0e59df8244d384b5f75bb89eb125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2082",
    "kind": "arxiv",
    "version": 1
  }
}