Pith Number

pith:CRJBTBNA

pith:2016:CRJBTBNAFMCMCXRXI5PIUSVHYW

not attested not anchored not stored refs pending

Iterated crossed products for groupoid fibrations

Alcides Buss, Ralf Meyer

arxiv:1604.02015 v1 · 2016-04-07 · 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{CRJBTBNAFMCMCXRXI5PIUSVHYW}

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.

Cited by

1 paper in Pith

A universal property for groupoid C*-algebras. II. Fell bundles

Receipt and verification

First computed	2026-05-18T01:17:31.438051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14521985a02b04c15e37475e8a4aa7c5aad7fb7d266f78ff381a5a7e85cf537a

Aliases

arxiv: 1604.02015 · arxiv_version: 1604.02015v1 · doi: 10.48550/arxiv.1604.02015 · pith_short_12: CRJBTBNAFMCM · pith_short_16: CRJBTBNAFMCMCXRX · pith_short_8: CRJBTBNA

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/CRJBTBNAFMCMCXRXI5PIUSVHYW \
  | 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: 14521985a02b04c15e37475e8a4aa7c5aad7fb7d266f78ff381a5a7e85cf537a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd02cfe990449c5cce08b35793a00a4c65c4301cbd527dfc2e941e34cfd61f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-04-07T14:40:23Z",
    "title_canon_sha256": "b9567ba81debca38499ed86ce973d9ce46f8244e896b558f5eae9369b76d5b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02015",
    "kind": "arxiv",
    "version": 1
  }
}