Pith Number

pith:5D4X4GRK

pith:2021:5D4X4GRKFRG5MCODIE5JFO5DS6

not attested not anchored not stored refs pending

Homogenization of a coupled incompressible Stokes-Cahn-Hilliard system modeling binary fluid mixture in a porous medium

Hari Shankar Mahato, Nitu Lakhmara

arxiv:2111.15294 v1 · 2021-11-30 · 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{5D4X4GRKFRG5MCODIE5JFO5DS6}

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	2026-07-05T05:35:12.085685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f97e1a2a2c4dd609c3413a92bba39796251bd5ec3517724114f0a9f59301e7

Aliases

arxiv: 2111.15294 · arxiv_version: 2111.15294v1 · doi: 10.48550/arxiv.2111.15294 · pith_short_12: 5D4X4GRKFRG5 · pith_short_16: 5D4X4GRKFRG5MCOD · pith_short_8: 5D4X4GRK

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/5D4X4GRKFRG5MCODIE5JFO5DS6 \
  | 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: e8f97e1a2a2c4dd609c3413a92bba39796251bd5ec3517724114f0a9f59301e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "282026b85b8fe0d6e2d368f64455770c9fc87992f67fa28c16e6e24466ee9cdc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-30T11:15:44Z",
    "title_canon_sha256": "4012056d311cb415704f7862d6f1647b71c3e854b685e4a9a1e261051b42c89b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15294",
    "kind": "arxiv",
    "version": 1
  }
}