Pith Number

pith:KJ7P54SV

pith:2019:KJ7P54SV4U7AYMGPY4V4SQSNXY

not attested not anchored not stored refs pending

Global Well-posedness for the Primitive Equations Coupled to Nonlinear Moisture Dynamics with Phase Changes

Edriss S. Titi, Jinkai Li, Rupert Klein, Sabine Hittmeir

arxiv:1907.11199 v2 · 2019-07-25 · 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{KJ7P54SV4U7AYMGPY4V4SQSNXY}

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	2026-07-05T01:12:21.589511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

527efef255e53e0c30cfc72bc9424dbe0f00ca60c049663a9a0b764e4efc8d8d

Aliases

arxiv: 1907.11199 · arxiv_version: 1907.11199v2 · doi: 10.48550/arxiv.1907.11199 · pith_short_12: KJ7P54SV4U7A · pith_short_16: KJ7P54SV4U7AYMGP · pith_short_8: KJ7P54SV

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/KJ7P54SV4U7AYMGPY4V4SQSNXY \
  | 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: 527efef255e53e0c30cfc72bc9424dbe0f00ca60c049663a9a0b764e4efc8d8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c6d0e964019161bb4f6e736b08c9a8c0ec03d1d9171b03a7473b1a1642a09e",
    "cross_cats_sorted": [
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-25T17:00:55Z",
    "title_canon_sha256": "af199ddaf0a6549a44b035c54df8c8d535e9a231c50c2d5f8a1cdc18818d486c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11199",
    "kind": "arxiv",
    "version": 2
  }
}