Pith Number

pith:BO5D62HU

pith:2011:BO5D62HU2WEGMLIEVQ53Q3KOJN

not attested not anchored not stored refs pending

A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation with Large Wave Numbers

Junping Wang, Lin Mu, Shan Zhao, Xiu Ye

arxiv:1111.0671 v1 · 2011-11-02 · 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{BO5D62HU2WEGMLIEVQ53Q3KOJN}

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	2026-05-18T04:09:37.176645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bba3f68f4d588662d04ac3bb86d4e4b48d1ad662b9b205e1d790efc77bf3a13

Aliases

arxiv: 1111.0671 · arxiv_version: 1111.0671v1 · doi: 10.48550/arxiv.1111.0671 · pith_short_12: BO5D62HU2WEG · pith_short_16: BO5D62HU2WEGMLIE · pith_short_8: BO5D62HU

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/BO5D62HU2WEGMLIEVQ53Q3KOJN \
  | 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: 0bba3f68f4d588662d04ac3bb86d4e4b48d1ad662b9b205e1d790efc77bf3a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fac14a348bfdaad9b8db1ec357bf95565aaff6ea1bdb6e9a11493737bd805c2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-11-02T21:39:15Z",
    "title_canon_sha256": "69543adaf1247d63e650e2ba5d92760de94e784b9bbe6efd5ee010a2952cc358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0671",
    "kind": "arxiv",
    "version": 1
  }
}