Pith Number

pith:YWL4TQZJ

pith:2015:YWL4TQZJ7CH6ONJEB65G2LVWUJ

not attested not anchored not stored refs pending

Stability of Lie groupoid C*-algebras

Claire Debord, Georges Skandalis

arxiv:1503.03263 v1 · 2015-03-11 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWL4TQZJ7CH6ONJEB65G2LVWUJ}

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	2026-05-18T01:12:08.672447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c597c9c329f88fe735240fba6d2eb6a27773f019bb330c6d8080e3f49852b6d0

Aliases

arxiv: 1503.03263 · arxiv_version: 1503.03263v1 · doi: 10.48550/arxiv.1503.03263 · pith_short_12: YWL4TQZJ7CH6 · pith_short_16: YWL4TQZJ7CH6ONJE · pith_short_8: YWL4TQZJ

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/YWL4TQZJ7CH6ONJEB65G2LVWUJ \
  | 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: c597c9c329f88fe735240fba6d2eb6a27773f019bb330c6d8080e3f49852b6d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bef8869aa1be9687f168bc238fcbbca6080cc144a2765053b1a29c60012ef842",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-03-11T10:36:41Z",
    "title_canon_sha256": "364291c46927b49917584f01c310b0896462ec7b3da47aeaa2b99f0a78726a8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03263",
    "kind": "arxiv",
    "version": 1
  }
}