Pith Number

pith:LN3VKYTN

pith:2011:LN3VKYTNZHT5DXIWWKQX32FQK5

not attested not anchored not stored refs pending

On the linearization theorem for proper Lie groupoids

Ivan Struchiner, Marius Crainic

arxiv:1103.5245 v2 · 2011-03-27 · math.DG · math.AT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LN3VKYTNZHT5DXIWWKQX32FQK5}

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	2026-05-18T03:42:12.014415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b7755626dc9e7d1dd16b2a17de8b057504c71097e7c185114b7bc3a68bceecb

Aliases

arxiv: 1103.5245 · arxiv_version: 1103.5245v2 · doi: 10.48550/arxiv.1103.5245 · pith_short_12: LN3VKYTNZHT5 · pith_short_16: LN3VKYTNZHT5DXIW · pith_short_8: LN3VKYTN

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/LN3VKYTNZHT5DXIWWKQX32FQK5 \
  | 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: 5b7755626dc9e7d1dd16b2a17de8b057504c71097e7c185114b7bc3a68bceecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d99afe6c6b6ff9759bfe1b9b55d4f0b5ddb6853e396362d8c730797a6faf5e2",
    "cross_cats_sorted": [
      "math.AT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-27T19:13:06Z",
    "title_canon_sha256": "ab8ecafd2c93c4b62c8a9ca2e57b9c146f71283b6ef6790aac82128e51512b24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5245",
    "kind": "arxiv",
    "version": 2
  }
}