Pith Number

pith:DGLOYX4V

pith:2016:DGLOYX4VL5PU2SMYKHTWK3Y4H3

not attested not anchored not stored refs pending

A Weak Galerkin Finite Element Scheme for the Biharmonic Equations by Using Polynomials of Reduced Order

Qilong Zhai, Ran Zhang

arxiv:1601.06634 v1 · 2016-01-25 · 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{DGLOYX4VL5PU2SMYKHTWK3Y4H3}

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	2026-05-18T01:22:04.047172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1996ec5f955f5f4d499851e7656f1c3edd37d70003643b6ee9b07ec3d9fcfda8

Aliases

arxiv: 1601.06634 · arxiv_version: 1601.06634v1 · doi: 10.48550/arxiv.1601.06634 · pith_short_12: DGLOYX4VL5PU · pith_short_16: DGLOYX4VL5PU2SMY · pith_short_8: DGLOYX4V

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/DGLOYX4VL5PU2SMYKHTWK3Y4H3 \
  | 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: 1996ec5f955f5f4d499851e7656f1c3edd37d70003643b6ee9b07ec3d9fcfda8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4fc0b4ed8cdd5159661b29e214777013b41721b2f6f4567402187e8d99f0bc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-01-25T15:16:22Z",
    "title_canon_sha256": "cf1d5265c215600eb074e8e384f96e0add487f9475f01e3c5decbd50b50dd164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06634",
    "kind": "arxiv",
    "version": 1
  }
}