Pith Number

pith:UBQIMC72

pith:2018:UBQIMC72CPDTWK66LQSO5DCMWE

not attested not anchored not stored refs pending

Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities

Edriss S. Titi, Xin Liu

arxiv:1808.03975 v1 · 2018-08-12 · math.AP · physics.ao-ph · physics.flu-dyn · physics.geo-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{UBQIMC72CPDTWK66LQSO5DCMWE}

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	2026-05-18T00:08:19.194852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a060860bfa13c73b2bde5c24ee8c4cb13865e801fab0d1502ac59d970a9521f5

Aliases

arxiv: 1808.03975 · arxiv_version: 1808.03975v1 · doi: 10.48550/arxiv.1808.03975 · pith_short_12: UBQIMC72CPDT · pith_short_16: UBQIMC72CPDTWK66 · pith_short_8: UBQIMC72

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/UBQIMC72CPDTWK66LQSO5DCMWE \
  | 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: a060860bfa13c73b2bde5c24ee8c4cb13865e801fab0d1502ac59d970a9521f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8805f21c34ed3df29558e21e0c99fad96937568be7535f3974995d1105e3766f",
    "cross_cats_sorted": [
      "physics.ao-ph",
      "physics.flu-dyn",
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-12T18:08:09Z",
    "title_canon_sha256": "89c5e48a3c75045325cf13bed7b5bcc1a6a15d16044b456346f8c60a32e6daec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03975",
    "kind": "arxiv",
    "version": 1
  }
}