Pith Number

pith:NJ3S4TGA

pith:2018:NJ3S4TGAGU5PYYDNJRRPX6H4X7

not attested not anchored not stored refs pending

Lyapunov exponent and Wasserstein metric as validation tools for assessing short-time dynamics and quantitative model evaluation of large-eddy simulation

Hao Wu, Matthias Ihme, Peter C. Ma, Yu Lv

arxiv:1801.03046 v1 · 2018-01-09 · 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{NJ3S4TGAGU5PYYDNJRRPX6H4X7}

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	2026-05-18T00:26:21.690210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a772e4cc0353afc606d4c62fbf8fcbfdec532866f64baffa4728b8a94040498

Aliases

arxiv: 1801.03046 · arxiv_version: 1801.03046v1 · doi: 10.48550/arxiv.1801.03046 · pith_short_12: NJ3S4TGAGU5P · pith_short_16: NJ3S4TGAGU5PYYDN · pith_short_8: NJ3S4TGA

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/NJ3S4TGAGU5PYYDNJRRPX6H4X7 \
  | 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: 6a772e4cc0353afc606d4c62fbf8fcbfdec532866f64baffa4728b8a94040498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6570b6a8e6845160302b20ab227497379e53f86f94de18075694bfed649b43d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2018-01-09T17:23:50Z",
    "title_canon_sha256": "50396f07459860728e4ac056e9c897c90c203c89b4ed90124ac7e515d6f0ed23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03046",
    "kind": "arxiv",
    "version": 1
  }
}