Pith Number

pith:VGDXHXE5

pith:2013:VGDXHXE5VF7KEY5QVMYBBXLL4V

not attested not anchored not stored refs pending

Weak Galerkin Finite Element Methods for the Biharmonic Equation on Polytopal Meshes

Junping Wang, Lin Mu, Xiu Ye

arxiv:1303.0927 v1 · 2013-03-05 · 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{VGDXHXE5VF7KEY5QVMYBBXLL4V}

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.

Cited by

1 paper in Pith

A Least-Squares Weak Galerkin Method for Second-Order Elliptic Equations in Non-Divergence Form

Receipt and verification

First computed	2026-05-18T03:31:53.447109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98773dc9da97ea263b0ab3010dd6be565bd2a62db70c827a1c8e236bb50c737

Aliases

arxiv: 1303.0927 · arxiv_version: 1303.0927v1 · doi: 10.48550/arxiv.1303.0927 · pith_short_12: VGDXHXE5VF7K · pith_short_16: VGDXHXE5VF7KEY5Q · pith_short_8: VGDXHXE5

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/VGDXHXE5VF7KEY5QVMYBBXLL4V \
  | 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: a98773dc9da97ea263b0ab3010dd6be565bd2a62db70c827a1c8e236bb50c737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c3a4bd02e4c9cdb79d8fd4d2a62429b2e6156e22a33e620a42f9e72a1f3804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-03-05T05:14:04Z",
    "title_canon_sha256": "a53d99f8896b5d65126e4583561abd686e0461589d1116c016c061c7d097a855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0927",
    "kind": "arxiv",
    "version": 1
  }
}