Pith Number

pith:IL5RRZN7

pith:2018:IL5RRZN7FNJKUOG7HYEZEBACVV

not attested not anchored not stored refs pending

Automated shape differentiation in the Unified Form Language

Alberto Paganini, David A. Ham, Florian Wechsung, Lawrence Mitchell

arxiv:1808.08083 v2 · 2018-08-24 · math.NA · 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{IL5RRZN7FNJKUOG7HYEZEBACVV}

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	2026-06-04T20:13:16.282604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42fb18e5bf2b52aa38df3e09920402ad7b3dadf3cf7a4911604735be71aafaeb

Aliases

arxiv: 1808.08083 · arxiv_version: 1808.08083v2 · doi: 10.48550/arxiv.1808.08083 · pith_short_12: IL5RRZN7FNJK · pith_short_16: IL5RRZN7FNJKUOG7 · pith_short_8: IL5RRZN7

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/IL5RRZN7FNJKUOG7HYEZEBACVV \
  | 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: 42fb18e5bf2b52aa38df3e09920402ad7b3dadf3cf7a4911604735be71aafaeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01136dded1834fae5c8e049b1b57e92979854ec35ea7752af112c981925eb892",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-24T10:50:30Z",
    "title_canon_sha256": "5de59ffcfb3adee8fe956e4d23a23d0f138d019bf3a0e65a4bfe2812940295c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08083",
    "kind": "arxiv",
    "version": 2
  }
}