Pith Number

pith:PV2FR2TF

pith:2019:PV2FR2TF4A6RIT3I6RJGOH3MHG

not attested not anchored not stored refs pending

A MacCormack Method for Complete Shallow Water Equations with Source Terms

Alqahtani T. Rubayyi, Eric Ngondiep, Jean C. Ntonga

arxiv:1903.11104 v1 · 2019-03-20 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PV2FR2TF4A6RIT3I6RJGOH3MHG}

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	2026-05-17T23:50:04.158386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7458ea65e03d144f68f452671f6c39b3507e1242a5bcf0159bb81a61ea79c7

Aliases

arxiv: 1903.11104 · arxiv_version: 1903.11104v1 · doi: 10.48550/arxiv.1903.11104 · pith_short_12: PV2FR2TF4A6R · pith_short_16: PV2FR2TF4A6RIT3I · pith_short_8: PV2FR2TF

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/PV2FR2TF4A6RIT3I6RJGOH3MHG \
  | 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: 7d7458ea65e03d144f68f452671f6c39b3507e1242a5bcf0159bb81a61ea79c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d939c7c34ad8d8ade1420fa62564f5f732777e5784ecfab922b1f56baba702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-20T17:16:25Z",
    "title_canon_sha256": "8763ca91fbf1e1261fe42e1c18855f00a8e29e7d0b369abc56beaf66793581ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11104",
    "kind": "arxiv",
    "version": 1
  }
}