Pith Number

pith:IPUHCLKL

pith:2025:IPUHCLKLDMGZC5ULBLWJLRP3RT

not attested not anchored not stored refs pending

Entropic approximations of the semigeostrophic shallow water equations

Colin J. Cotter, Hugo Malamut, Jacob J.M. Francis, Jean-David Benamou

arxiv:2507.16415 v1 · 2025-07-22 · math.NA · cs.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{IPUHCLKLDMGZC5ULBLWJLRP3RT}

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	2026-07-05T11:41:09.071875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e8712d4b1b0d91768b0aec95c5fb8cf8d478026436cc0c6b1385a09d2c02dd

Aliases

arxiv: 2507.16415 · arxiv_version: 2507.16415v1 · doi: 10.48550/arxiv.2507.16415 · pith_short_12: IPUHCLKLDMGZ · pith_short_16: IPUHCLKLDMGZC5UL · pith_short_8: IPUHCLKL

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/IPUHCLKLDMGZC5ULBLWJLRP3RT \
  | 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: 43e8712d4b1b0d91768b0aec95c5fb8cf8d478026436cc0c6b1385a09d2c02dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "340be206396ec7343797e602ff1336ea20e2e2bcab4613c0ac3b9ddfb0570bf2",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-22T10:06:58Z",
    "title_canon_sha256": "6886b3d73bc530f8d47c345fadb57ee5de763710098abc514d10b6a160d438be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16415",
    "kind": "arxiv",
    "version": 1
  }
}