Pith Number

pith:KMBNKCVK

pith:2013:KMBNKCVKXA2PXS7U3QRM3DF55F

not attested not anchored not stored refs pending

A Stable Numerical Algorithm for the Brinkman Equations by Weak Galerkin Finite Element Methods

Junping Wang, Lin Mu, Xiu Ye

arxiv:1312.2256 v1 · 2013-12-08 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMBNKCVKXA2PXS7U3QRM3DF55F}

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	2026-05-18T01:45:57.432489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5302d50aaab834fbcbf4dc22cd8cbde946074594a62fb3902846ca24daea739e

Aliases

arxiv: 1312.2256 · arxiv_version: 1312.2256v1 · doi: 10.48550/arxiv.1312.2256 · pith_short_12: KMBNKCVKXA2P · pith_short_16: KMBNKCVKXA2PXS7U · pith_short_8: KMBNKCVK

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/KMBNKCVKXA2PXS7U3QRM3DF55F \
  | 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: 5302d50aaab834fbcbf4dc22cd8cbde946074594a62fb3902846ca24daea739e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71afa857958d99d415c3915c7c5aa4ba0a1a307f68f0095c145a99a8b90ed257",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-08T20:13:44Z",
    "title_canon_sha256": "8133822a4ea9dd468511d6ec202a23c3ccdcd71c79aac5c79f9ab091a223dd0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2256",
    "kind": "arxiv",
    "version": 1
  }
}