Pith Number

pith:XXDSY4TL

pith:2010:XXDSY4TLJVPOCPDEQN3HZABHZB

not attested not anchored not stored refs pending

Geometry of orbit spaces of proper Lie groupoids

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

arxiv:1101.0180 v6 · 2010-12-30 · math.DG · 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{XXDSY4TLJVPOCPDEQN3HZABHZB}

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	2026-05-18T02:23:05.950031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc72c726b4d5ee13c6483767c8027c84c4756434a6aa4767b3c6b3ed0569cca

Aliases

arxiv: 1101.0180 · arxiv_version: 1101.0180v6 · doi: 10.48550/arxiv.1101.0180 · pith_short_12: XXDSY4TLJVPO · pith_short_16: XXDSY4TLJVPOCPDE · pith_short_8: XXDSY4TL

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/XXDSY4TLJVPOCPDEQN3HZABHZB \
  | 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: bdc72c726b4d5ee13c6483767c8027c84c4756434a6aa4767b3c6b3ed0569cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db5857322f3a0d45cbb4060505268011d9dc5b00c953b4e9038817bc810d587",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-30T23:33:52Z",
    "title_canon_sha256": "cf7429523ff054af09f050e03b27e4b37a304fa7845fe371a315454974ba0cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0180",
    "kind": "arxiv",
    "version": 6
  }
}