Pith. sign in
Pith Number

pith:4EQFBWVU

pith:2025:4EQFBWVURDGILMBTRZRDRSO32P
not attested not anchored not stored refs pending

Weak solutions and incompressible limit of a quasi-incompressible Navier--Stokes/Cahn--Hilliard model for viscous two-phase flows

Daozhi Han, Mingwen Fei, Xiang Fei, Yadong Liu

arxiv:2508.08090 v1 · 2025-08-11 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4EQFBWVURDGILMBTRZRDRSO32P}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T11:52:08.011094Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e12050dab488cc85b0338e6238c9dbd3e51fc1e5d2420bbb7d62c66cd35a0cea

Aliases

arxiv: 2508.08090 · arxiv_version: 2508.08090v1 · doi: 10.48550/arxiv.2508.08090 · pith_short_12: 4EQFBWVURDGI · pith_short_16: 4EQFBWVURDGILMBT · pith_short_8: 4EQFBWVU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4EQFBWVURDGILMBTRZRDRSO32P \
  | 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: e12050dab488cc85b0338e6238c9dbd3e51fc1e5d2420bbb7d62c66cd35a0cea
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b3c0ad4cc65363e26ac728f50363f18bb3d5cf13ba52103ed8a3662c7f06e746",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-11T15:31:51Z",
    "title_canon_sha256": "0f05f449fbac7e7c1bd1bad28a086f532888452458c4052217427425470905ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08090",
    "kind": "arxiv",
    "version": 1
  }
}