Pith Number

pith:FF4ZI5FZ

pith:2010:FF4ZI5FZPVOUAESWSWWRTZATRK

not attested not anchored not stored refs pending

A Type System for the Vectorial Aspect of the Linear-Algebraic Lambda-Calculus

Alejandro D\'iaz-Caro, Beno\^it Valiron, Pablo Arrighi

arxiv:1012.4032 v4 · 2010-12-17 · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FF4ZI5FZPVOUAESWSWWRTZATRK}

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	2026-05-18T03:49:47.607549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29799474b97d5d40125695ad19e4138abf0695d3243df66a7d457dfc372f26a2

Aliases

arxiv: 1012.4032 · arxiv_version: 1012.4032v4 · doi: 10.48550/arxiv.1012.4032 · pith_short_12: FF4ZI5FZPVOU · pith_short_16: FF4ZI5FZPVOUAESW · pith_short_8: FF4ZI5FZ

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/FF4ZI5FZPVOUAESWSWWRTZATRK \
  | 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: 29799474b97d5d40125695ad19e4138abf0695d3243df66a7d457dfc372f26a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca42c32fdae3918c6782fc0f11f4097e5209c1ed2cc0ce6e774a47b319103750",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2010-12-17T23:09:28Z",
    "title_canon_sha256": "5a5d1a257d82b0d5a0dd813c1b683d993214a66015b6b6d4e4039c133843ae01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4032",
    "kind": "arxiv",
    "version": 4
  }
}