Pith Number

pith:U7GYTZN3

pith:2018:U7GYTZN3IEDRX3AGAXMCA3QJGC

not attested not anchored not stored refs pending

A Simplified Weak Galerkin Finite Element Method: Algorithm and Error Estimates

Junping Wang, Yujie Liu

arxiv:1808.08667 v2 · 2018-08-27 · 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{U7GYTZN3IEDRX3AGAXMCA3QJGC}

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	2026-05-18T00:07:05.093747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7cd89e5bb41071bec0605d8206e0930a51126d495ce2a2755123b81aeb06f7f

Aliases

arxiv: 1808.08667 · arxiv_version: 1808.08667v2 · doi: 10.48550/arxiv.1808.08667 · pith_short_12: U7GYTZN3IEDR · pith_short_16: U7GYTZN3IEDRX3AG · pith_short_8: U7GYTZN3

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/U7GYTZN3IEDRX3AGAXMCA3QJGC \
  | 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: a7cd89e5bb41071bec0605d8206e0930a51126d495ce2a2755123b81aeb06f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2848d066c48775c09ccd0f7005860462b87f59973be72765355d59cdc3994e6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-27T02:37:31Z",
    "title_canon_sha256": "6452a230ee7ceeaf292f71708a407d560cdfe70ca5188eae903a38154714026c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08667",
    "kind": "arxiv",
    "version": 2
  }
}