Pith Number

pith:45ZPNULV

pith:2015:45ZPNULVMLPPCSJ22LBOHQBVBL

not attested not anchored not stored refs pending

Firedrake: automating the finite element method by composing abstractions

Andrew T. T. McRae, David A. Ham, Fabio Luporini, Florian Rathgeber, Gheorghe-Teodor Bercea, Graham R. Markall, Lawrence Mitchell, Michael Lange, Paul H. J. Kelly

arxiv:1501.01809 v3 · 2015-01-08 · cs.MS · cs.NA · 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{45ZPNULVMLPPCSJ22LBOHQBVBL}

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	2026-05-18T00:53:21.196429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e772f6d17562def1493ad2c2e3c0350adc051ae07240294fc774b3f15bc09de1

Aliases

arxiv: 1501.01809 · arxiv_version: 1501.01809v3 · doi: 10.48550/arxiv.1501.01809 · pith_short_12: 45ZPNULVMLPP · pith_short_16: 45ZPNULVMLPPCSJ2 · pith_short_8: 45ZPNULV

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/45ZPNULVMLPPCSJ22LBOHQBVBL \
  | 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: e772f6d17562def1493ad2c2e3c0350adc051ae07240294fc774b3f15bc09de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f2dd8e8e1980df1a03536946b716c0302b34a13d5fb0d98fc084cc98f84d07",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2015-01-08T11:57:05Z",
    "title_canon_sha256": "3a3d4f873c50aa3a3c5dff6d4cdc7bd1bdd771a344e588864cf660fe87c37a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01809",
    "kind": "arxiv",
    "version": 3
  }
}