Pith Number

pith:CTV5NU4O

pith:2025:CTV5NU4OYHKUNL75DVSQMHKGBK

not attested not anchored not stored refs pending

Navier-Stokes-Cahn-Hilliard system in a $3$D perforated domain with free slip and source term: Existence and homogenization

Amartya Chakrabortty, Haradhan Dutta, Hari Shankar Mahato

arxiv:2512.21171 v3 · 2025-12-24 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTV5NU4OYHKUNL75DVSQMHKGBK}

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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.

Cited by

1 paper in Pith

Quantitative Homogenization of a Cahn--Hilliard System with Source Term in Periodically Perforated Domains

Receipt and verification

First computed	2026-06-19T16:12:04.795524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14ebd6d38ec1d546affd1d65061d460a9be039fff90f62cfa17aa582cbea2f3b

Aliases

arxiv: 2512.21171 · arxiv_version: 2512.21171v3 · doi: 10.48550/arxiv.2512.21171 · pith_short_12: CTV5NU4OYHKU · pith_short_16: CTV5NU4OYHKUNL75 · pith_short_8: CTV5NU4O

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/CTV5NU4OYHKUNL75DVSQMHKGBK \
  | 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: 14ebd6d38ec1d546affd1d65061d460a9be039fff90f62cfa17aa582cbea2f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4587cfbd8637e97d3f992460eadf73168ca56381f618ec871b012b5f8f2c5e2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-24T13:39:34Z",
    "title_canon_sha256": "3f00db556cd35f5f39a63f18642fa4f4a5a93c30e6ff0309b9e21373f286a892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21171",
    "kind": "arxiv",
    "version": 3
  }
}