Pith Number

pith:5PAJMMSR

pith:2019:5PAJMMSRNEWKKH3ASZJELOAOSJ

not attested not anchored not stored refs pending

Zero Mach Number Limit of the Compressible Primitive Equations Part I: Well-prepared Initial Data

Edriss S. Titi, Xin Liu

arxiv:1905.09367 v1 · 2019-05-22 · math.AP · physics.ao-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PAJMMSRNEWKKH3ASZJELOAOSJ}

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	2026-07-05T01:29:37.725278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc0963251692ca51f60965245b80e9249e4bc155c11a02029be7889eacdaf16

Aliases

arxiv: 1905.09367 · arxiv_version: 1905.09367v1 · doi: 10.48550/arxiv.1905.09367 · pith_short_12: 5PAJMMSRNEWK · pith_short_16: 5PAJMMSRNEWKKH3A · pith_short_8: 5PAJMMSR

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/5PAJMMSRNEWKKH3ASZJELOAOSJ \
  | 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: ebc0963251692ca51f60965245b80e9249e4bc155c11a02029be7889eacdaf16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf913d9ff13f4fd06d40ba2dfa10e2b05b09670b814bd0671b53c3645ac835e",
    "cross_cats_sorted": [
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-22T21:16:01Z",
    "title_canon_sha256": "2711fdc194e1b1c12c4e6a5e3e7fc7eb7941d6b1ba2641f3abc72e0c86ee060d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09367",
    "kind": "arxiv",
    "version": 1
  }
}