Pith Number

pith:TPGXRQOX

pith:2021:TPGXRQOX6AL7NH2LTYWAVCDGNK

not attested not anchored not stored refs pending

Eighty Years of the Finite Element Method: Birth, Evolution, and Future

Harold Park, Shaofan Li, Wing Kam Liu

arxiv:2107.04960 v1 · 2021-07-11 · math.NA · cs.CE · cs.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{TPGXRQOX6AL7NH2LTYWAVCDGNK}

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	2026-07-05T02:56:44.772367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bcd78c1d7f017f69f4b9e2c0a88666ab6aeb1c953fc01e22ce749056ccea122

Aliases

arxiv: 2107.04960 · arxiv_version: 2107.04960v1 · doi: 10.48550/arxiv.2107.04960 · pith_short_12: TPGXRQOX6AL7 · pith_short_16: TPGXRQOX6AL7NH2L · pith_short_8: TPGXRQOX

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/TPGXRQOX6AL7NH2LTYWAVCDGNK \
  | 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: 9bcd78c1d7f017f69f4b9e2c0a88666ab6aeb1c953fc01e22ce749056ccea122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "942c30ef5854c13d2c12e2e55b407695c6c07428bbb293d9a502f4f63832b272",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-07-11T04:03:05Z",
    "title_canon_sha256": "e1dfae6c69f870723d3b35378d93370d9dee0f7299fabf6cf3454951e543920c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04960",
    "kind": "arxiv",
    "version": 1
  }
}