Pith Number

pith:LWJH3R2B

pith:2026:LWJH3R2B4QBZ3KQZ3CZQJ4TY2U

not attested not anchored not stored refs pending

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow

Quyuan Lin, Xin Liu

arxiv:2607.27477 v1 · 2026-07-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWJH3R2B4QBZ3KQZ3CZQJ4TY2U}

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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	2026-07-31T01:23:56.793927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

5d927dc741e4039daa19d8b304f278d5324313f7069cdab7c8e29661ea24fa3f

Aliases

arxiv: 2607.27477 · arxiv_version: 2607.27477v1 · doi: 10.48550/arxiv.2607.27477 · pith_short_12: LWJH3R2B4QBZ · pith_short_16: LWJH3R2B4QBZ3KQZ · pith_short_8: LWJH3R2B

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/LWJH3R2B4QBZ3KQZ3CZQJ4TY2U \
  | 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: 5d927dc741e4039daa19d8b304f278d5324313f7069cdab7c8e29661ea24fa3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22c382a3a74d6ae37ef9e233c662386ee5af938152908baa4f9438404f6f3371",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-29T21:37:24Z",
    "title_canon_sha256": "065ba89080b2fc85e6106e22ce37630f2be609dfc6117ab04adf96056e4db299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27477",
    "kind": "arxiv",
    "version": 1
  }
}