Pith Number

pith:FWP5PWCT

pith:2011:FWP5PWCT4MDJU3NZ5ML6XICU3Q

not attested not anchored not stored refs pending

Decomposing the C*-algebras of groupoid extensions

Astrid an Huef, Jonathan H. Brown

arxiv:1105.0718 v2 · 2011-05-04 · 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{FWP5PWCT4MDJU3NZ5ML6XICU3Q}

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	2026-05-18T03:56:10.694885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9fd7d853e3069a6db9eb17eba054dc3501d0c6e8f25d3f0f477fc1676b6e18

Aliases

arxiv: 1105.0718 · arxiv_version: 1105.0718v2 · doi: 10.48550/arxiv.1105.0718 · pith_short_12: FWP5PWCT4MDJ · pith_short_16: FWP5PWCT4MDJU3NZ · pith_short_8: FWP5PWCT

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/FWP5PWCT4MDJU3NZ5ML6XICU3Q \
  | 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: 2d9fd7d853e3069a6db9eb17eba054dc3501d0c6e8f25d3f0f477fc1676b6e18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0780aef84580f89abf3f741c77c171b5d023ce6e51d589106a7e1341cf8c1ddd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-05-04T01:51:51Z",
    "title_canon_sha256": "663af1addd7a200d7af2e6b3181ca6c0cd57d31493292c97b60f3ca260d9fd22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0718",
    "kind": "arxiv",
    "version": 2
  }
}