Pith Number

pith:2S3KZDMP

pith:2019:2S3KZDMPGNAWX7JIISMMBSLRMF

not attested not anchored not stored refs pending

A consistent reduction of the two-layer shallow-water equations to an accurate one-layer spreading model

{\AA}smund Ervik, Eirik Holm Fyhn, Karl Yngve Lerv{\aa}g, {\O}ivind Wilhelmsen

arxiv:1902.04648 v3 · 2019-02-12 · 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{2S3KZDMPGNAWX7JIISMMBSLRMF}

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	2026-07-05T00:25:25.979383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b6ac8d8f33416bfd284498c0c97161496f514bf51c4369a032e8310fc32a87

Aliases

arxiv: 1902.04648 · arxiv_version: 1902.04648v3 · doi: 10.48550/arxiv.1902.04648 · pith_short_12: 2S3KZDMPGNAW · pith_short_16: 2S3KZDMPGNAWX7JI · pith_short_8: 2S3KZDMP

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/2S3KZDMPGNAWX7JIISMMBSLRMF \
  | 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: d4b6ac8d8f33416bfd284498c0c97161496f514bf51c4369a032e8310fc32a87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dff628a2a7d829da7ce13417145444b502ed7549fb68c90eb6347fe588f5e54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2019-02-12T21:48:13Z",
    "title_canon_sha256": "a5eff8900505980fd238db3216b8a6addb5aacf966a6965fa309970c20b5ca0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04648",
    "kind": "arxiv",
    "version": 3
  }
}