Pith Number

pith:YWCUJ5WH

pith:2011:YWCUJ5WHY5CCSQPBIQFGNBRDH6

not attested not anchored not stored refs pending

Rigorous Homogenization of a Stokes-Nernst-Planck-Poisson Problem for various Boundary Conditions

Adrian Muntean, Nadja Ray, Peter Knabner

arxiv:1111.1604 v1 · 2011-11-07 · 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{YWCUJ5WHY5CCSQPBIQFGNBRDH6}

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	2026-05-18T04:09:25.725799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58544f6c7c7442941e1440a6686233fbd61545af27728e075aa37b9ab134956

Aliases

arxiv: 1111.1604 · arxiv_version: 1111.1604v1 · doi: 10.48550/arxiv.1111.1604 · pith_short_12: YWCUJ5WHY5CC · pith_short_16: YWCUJ5WHY5CCSQPB · pith_short_8: YWCUJ5WH

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/YWCUJ5WHY5CCSQPBIQFGNBRDH6 \
  | 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: c58544f6c7c7442941e1440a6686233fbd61545af27728e075aa37b9ab134956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae9451471f0934b30810c942284987ed19ec9244927c5b666229620dc47850a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-07T14:56:02Z",
    "title_canon_sha256": "3042e099b97fe67b7429dca12ac9cbf9efc92ab67d1ecb982dd28badbe4d7477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1604",
    "kind": "arxiv",
    "version": 1
  }
}