Pith Number

pith:ZWAI3PCX

pith:2026:ZWAI3PCXBVJGURJMSM6JGJBD5V

not attested not anchored not stored refs pending

Low Mach number limit for the Navier--Stokes--Korteweg equations with a stationary force

Jinkai Ni, Luqi Wang, Yichi Zhang, Zhipeng Zhang

arxiv:2608.00727 v1 · 2026-08-01 · 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{ZWAI3PCXBVJGURJMSM6JGJBD5V}

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	2026-08-04T01:54:50.028384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd808dbc570d526a452c933c932423ed7f21cc5f54cf99f9912188af92ca3c9b

Aliases

arxiv: 2608.00727 · arxiv_version: 2608.00727v1 · doi: 10.48550/arxiv.2608.00727 · pith_short_12: ZWAI3PCXBVJG · pith_short_16: ZWAI3PCXBVJGURJM · pith_short_8: ZWAI3PCX

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/ZWAI3PCXBVJGURJMSM6JGJBD5V \
  | 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: cd808dbc570d526a452c933c932423ed7f21cc5f54cf99f9912188af92ca3c9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba55588495ed8fd4918c3804362128bcb7ed290dcc2546dd063c42a09fc406c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-01T15:48:28Z",
    "title_canon_sha256": "7124b666f2fa5228a7d12037548718823b1b058480fb3163034bb51abfac6733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00727",
    "kind": "arxiv",
    "version": 1
  }
}