Pith Number

pith:X4ZBSXUK

pith:2011:X4ZBSXUK63YTDY36UQL5U5ZSU7

not attested not anchored not stored refs pending

A compiler for variational forms

Anders Logg, Robert C. Kirby

arxiv:1112.0402 v1 · 2011-12-02 · 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{X4ZBSXUK63YTDY36UQL5U5ZSU7}

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	2026-05-18T04:07:07.277716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf32195e8af6f131e37ea417da7732a7f1cf90b2dfc8119508a7603e62c9e543

Aliases

arxiv: 1112.0402 · arxiv_version: 1112.0402v1 · doi: 10.48550/arxiv.1112.0402 · pith_short_12: X4ZBSXUK63YT · pith_short_16: X4ZBSXUK63YTDY36 · pith_short_8: X4ZBSXUK

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/X4ZBSXUK63YTDY36UQL5U5ZSU7 \
  | 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: bf32195e8af6f131e37ea417da7732a7f1cf90b2dfc8119508a7603e62c9e543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e0e923306a7d276f298610bfb0c0f79c8c59a9d417ae177d4e1ef2d451ddff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-02T08:36:28Z",
    "title_canon_sha256": "6f5a14f7ab717aa287a38aa80c3e4348b920b587ebf542ce758d37312bf39ec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0402",
    "kind": "arxiv",
    "version": 1
  }
}