Pith Number

pith:N2DENMGD

pith:2013:N2DENMGDB5GIPHFJYR2TLKWK5N

not attested not anchored not stored refs pending

The index of geometric operators on Lie groupoids

H. Posthuma, M.J. Pflaum, X. Tang

arxiv:1308.0236 v1 · 2013-08-01 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2DENMGDB5GIPHFJYR2TLKWK5N}

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	2026-05-18T03:16:59.504769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8646b0c30f4c879ca9c47535aacaeb71ad2f0006830763ae1f489e4f60ca53

Aliases

arxiv: 1308.0236 · arxiv_version: 1308.0236v1 · doi: 10.48550/arxiv.1308.0236 · pith_short_12: N2DENMGDB5GI · pith_short_16: N2DENMGDB5GIPHFJ · pith_short_8: N2DENMGD

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/N2DENMGDB5GIPHFJYR2TLKWK5N \
  | 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: 6e8646b0c30f4c879ca9c47535aacaeb71ad2f0006830763ae1f489e4f60ca53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "165d232eef8d9730094360cae13d14fbd0a4b1f443238ad02f7037539bbd8f91",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-01T15:08:04Z",
    "title_canon_sha256": "9ae192ff4c3e9f5e067f29fc18d99539e96bd17027dc5b5461f003d0573d8b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0236",
    "kind": "arxiv",
    "version": 1
  }
}