Pith Number

pith:A3J5UTGG

pith:2014:A3J5UTGGTNAK57J4Y7SQ4VHG74

not attested not anchored not stored refs pending

A fast convergence theorem for nearly multiplicative connections on proper Lie groupoids

Giorgio Trentinaglia

arxiv:1403.2071 v3 · 2014-03-09 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3J5UTGGTNAK57J4Y7SQ4VHG74}

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	2026-05-18T00:27:03.256596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06d3da4cc69b40aefd3cc7e50e54e6ff22ad2e6e5985b88debeebbdbdfebd524

Aliases

arxiv: 1403.2071 · arxiv_version: 1403.2071v3 · doi: 10.48550/arxiv.1403.2071 · pith_short_12: A3J5UTGGTNAK · pith_short_16: A3J5UTGGTNAK57J4 · pith_short_8: A3J5UTGG

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/A3J5UTGGTNAK57J4Y7SQ4VHG74 \
  | 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: 06d3da4cc69b40aefd3cc7e50e54e6ff22ad2e6e5985b88debeebbdbdfebd524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ef3b1a2dd4de2c75ea085a5fd9fc440c1fb9758734f4435c57ff43c8228347",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-03-09T16:18:56Z",
    "title_canon_sha256": "44af5f78564a674dd2841d5c3558aa35ad163d54d937e08aa9163f6d6851010f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2071",
    "kind": "arxiv",
    "version": 3
  }
}