Pith Number

pith:Z6LCOVCI

pith:2025:Z6LCOVCI6BCBDRKTNJMG6WEGC2

not attested not anchored not stored refs pending

Two phase micropolar fluid flow with unmatched densities modeled by Navier--Stokes--Cahn--Hilliard systems: Local strong well-posedness and consistency estimates

Kei Fong Lam, Kin Shing Chan

arxiv:2505.23235 v1 · 2025-05-29 · 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{Z6LCOVCI6BCBDRKTNJMG6WEGC2}

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	2026-07-05T11:11:58.127067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf96275448f04411c5536a586f5886169798761ed97d1ec9e445ffc4a0bcc80a

Aliases

arxiv: 2505.23235 · arxiv_version: 2505.23235v1 · doi: 10.48550/arxiv.2505.23235 · pith_short_12: Z6LCOVCI6BCB · pith_short_16: Z6LCOVCI6BCBDRKT · pith_short_8: Z6LCOVCI

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/Z6LCOVCI6BCBDRKTNJMG6WEGC2 \
  | 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: cf96275448f04411c5536a586f5886169798761ed97d1ec9e445ffc4a0bcc80a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa101594b3a2e25fa231080b39d8a41330bb366856a06623aa84f2a19dd96bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-29T08:36:14Z",
    "title_canon_sha256": "9cf0d62c9aef7bc0670fec8b912ac4df1d8d5a76ae25fc875b13c7e3f6398036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23235",
    "kind": "arxiv",
    "version": 1
  }
}