Pith Number

pith:F22CEOW2

pith:2015:F22CEOW2JZHVJZAIAHS5DFBEDA

not attested not anchored not stored refs pending

Functorial aspects of the reconstruction of Lie groupoids from their bisections

Alexander Schmeding, Christoph Wockel

arxiv:1506.05587 v1 · 2015-06-18 · math.CT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F22CEOW2JZHVJZAIAHS5DFBEDA}

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	2026-05-17T23:53:34.477267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb4223ada4e4f54e40801e5d19424180505e43a241c15e397a1796c5a949647

Aliases

arxiv: 1506.05587 · arxiv_version: 1506.05587v1 · doi: 10.48550/arxiv.1506.05587 · pith_short_12: F22CEOW2JZHV · pith_short_16: F22CEOW2JZHVJZAI · pith_short_8: F22CEOW2

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/F22CEOW2JZHVJZAIAHS5DFBEDA \
  | 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: 2eb4223ada4e4f54e40801e5d19424180505e43a241c15e397a1796c5a949647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d9fe2d2a7e834c092000705cd48754a356351869ed26b4a8a6ee4f0d102a49",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-06-18T09:00:41Z",
    "title_canon_sha256": "870de4e5146e1e3adfe1846c4ef4b1036ff23c7c46b4ea874322d0458f944525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05587",
    "kind": "arxiv",
    "version": 1
  }
}