Pith Number

pith:MN7EKN3R

pith:2015:MN7EKN3R26S2AQDQLQ7FEXZA3K

not attested not anchored not stored refs pending

A Stabilization Theorem for Fell Bundles over groupoids

Aidan Sims, Alex Kumjian, Dana P. Williams, Marius Ionescu

arxiv:1512.06046 v2 · 2015-12-18 · 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{MN7EKN3R26S2AQDQLQ7FEXZA3K}

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	2026-05-18T01:14:20.646945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637e453771d7a5a040705c3e525f20da811d1bd429db92fde97dce2b314a2e0a

Aliases

arxiv: 1512.06046 · arxiv_version: 1512.06046v2 · doi: 10.48550/arxiv.1512.06046 · pith_short_12: MN7EKN3R26S2 · pith_short_16: MN7EKN3R26S2AQDQ · pith_short_8: MN7EKN3R

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/MN7EKN3R26S2AQDQLQ7FEXZA3K \
  | 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: 637e453771d7a5a040705c3e525f20da811d1bd429db92fde97dce2b314a2e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10fd5007428e9c98e4731d232a5806d4589ff4147a90c7021c13bbe2bb57323c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-12-18T17:24:22Z",
    "title_canon_sha256": "2132bab368891888c673f3743fe748dc81d097a9c872396b2f6769946278551b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06046",
    "kind": "arxiv",
    "version": 2
  }
}