Pith Number

pith:LVIFWSPX

pith:2012:LVIFWSPXFYAGM37Y7CULKRBXEJ

not attested not anchored not stored refs pending

Cartesian differential categories revisited

G.S.H. Cruttwell

arxiv:1208.4070 v1 · 2012-08-20 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVIFWSPXFYAGM37Y7CULKRBXEJ}

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	2026-05-18T02:18:22.368040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d505b49f72e00666ff8f8a8b54437225d406dd7010b64492d3cd66efc64b638

Aliases

arxiv: 1208.4070 · arxiv_version: 1208.4070v1 · doi: 10.48550/arxiv.1208.4070 · pith_short_12: LVIFWSPXFYAG · pith_short_16: LVIFWSPXFYAGM37Y · pith_short_8: LVIFWSPX

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/LVIFWSPXFYAGM37Y7CULKRBXEJ \
  | 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: 5d505b49f72e00666ff8f8a8b54437225d406dd7010b64492d3cd66efc64b638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0318a9ab9d3b6bff2431e1b4b1f7c7c1aa7d708f151774fcbfd886590de6f9a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-08-20T17:59:22Z",
    "title_canon_sha256": "c6c6f7fdc1726c21c6bde05fdd5aac033e3f44346527859131c93bcbb9686881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4070",
    "kind": "arxiv",
    "version": 1
  }
}