Pith Number

pith:ENXMFVJW

pith:2013:ENXMFVJWFA5D6RHIQEDCCNZBZZ

not attested not anchored not stored refs pending

Stretching and folding processes in the 3D Euler and Navier-Stokes equations

D. D. Holm, J. D. Gibbon

arxiv:1311.0382 v1 · 2013-11-02 · math-ph · math.MP · 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{ENXMFVJWFA5D6RHIQEDCCNZBZZ}

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	2026-05-18T03:08:06.132075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236ec2d536283a3f44e88106213721ce6020468f7dcd0804c861312b6030289f

Aliases

arxiv: 1311.0382 · arxiv_version: 1311.0382v1 · doi: 10.48550/arxiv.1311.0382 · pith_short_12: ENXMFVJWFA5D · pith_short_16: ENXMFVJWFA5D6RHI · pith_short_8: ENXMFVJW

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/ENXMFVJWFA5D6RHIQEDCCNZBZZ \
  | 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: 236ec2d536283a3f44e88106213721ce6020468f7dcd0804c861312b6030289f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c75dce77b4e5720680efdbc228891b0acc4cf8a049f6a3f55666ab9402e04ee",
    "cross_cats_sorted": [
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-02T15:36:19Z",
    "title_canon_sha256": "1c6d24422bf33d3b70d175076251b653ae430e034e4446faca70dbc3231681af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0382",
    "kind": "arxiv",
    "version": 1
  }
}