Pith Number

pith:2CGASZOL

pith:2012:2CGASZOLS47YS7JKIOFT4HUD3E

not attested not anchored not stored refs pending

Coactions on Cuntz-Pimsner algebras

David Robertson, John Quigg, S. Kaliszewski

arxiv:1204.5822 v2 · 2012-04-26 · 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{2CGASZOLS47YS7JKIOFT4HUD3E}

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	2026-05-18T03:37:08.636643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d08c0965cb973f897d2a438b3e1e83d9136010d456fee36ad9688c5257c89a19

Aliases

arxiv: 1204.5822 · arxiv_version: 1204.5822v2 · doi: 10.48550/arxiv.1204.5822 · pith_short_12: 2CGASZOLS47Y · pith_short_16: 2CGASZOLS47YS7JK · pith_short_8: 2CGASZOL

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/2CGASZOLS47YS7JKIOFT4HUD3E \
  | 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: d08c0965cb973f897d2a438b3e1e83d9136010d456fee36ad9688c5257c89a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33205f3b7de104aeee809dd7423c471add91a527636ab0942e185540281cc252",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-04-26T03:27:18Z",
    "title_canon_sha256": "91e0e778866a51bba4e5d1592be4c5a070b638c87d5692ead5debca5200aa57c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5822",
    "kind": "arxiv",
    "version": 2
  }
}