Pith Number

pith:F3BTTL5F

pith:2018:F3BTTL5F27SZQ4GTHNVABMESEP

not attested not anchored not stored refs pending

Superconvergence of the Gradient Approximation for Weak Galerkin Finite Element Methods on Nonuniform Rectangular Partitions

Chunmei Wang, Dan Li, Junping Wang

arxiv:1804.03998 v2 · 2018-04-11 · 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{F3BTTL5F27SZQ4GTHNVABMESEP}

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	2026-05-18T00:12:48.143483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec339afa5d7e59870d33b6a00b09223e6f67c1f9430886af08d4917f30c7564

Aliases

arxiv: 1804.03998 · arxiv_version: 1804.03998v2 · doi: 10.48550/arxiv.1804.03998 · pith_short_12: F3BTTL5F27SZ · pith_short_16: F3BTTL5F27SZQ4GT · pith_short_8: F3BTTL5F

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/F3BTTL5F27SZQ4GTHNVABMESEP \
  | 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: 2ec339afa5d7e59870d33b6a00b09223e6f67c1f9430886af08d4917f30c7564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ceac61f918457140b25d50dc1e1a28c634bac5cbf84b52b2cf3ce721ac9aee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-04-11T14:12:20Z",
    "title_canon_sha256": "6f73e67af8c51dc4be9ac25770658018a27be0207e3ca6a341d7a8b7a1df5d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03998",
    "kind": "arxiv",
    "version": 2
  }
}