Pith Number

pith:BOSGA7NT

pith:2011:BOSGA7NT3QGK2P4XJBFY7K5QPZ

not attested not anchored not stored refs pending

Pullbacks, $C(X)$-algebras, and their Cuntz semigroup

Francesc Perera, Luis Santiago, Ramon Antoine

arxiv:1101.4776 v1 · 2011-01-25 · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOSGA7NT3QGK2P4XJBFY7K5QPZ}

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	2026-05-18T04:30:58.994871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ba4607db3dc0cad3f97484b8fabb07e6ff457bf7a7cea164f8a5f8592812b21

Aliases

arxiv: 1101.4776 · arxiv_version: 1101.4776v1 · doi: 10.48550/arxiv.1101.4776 · pith_short_12: BOSGA7NT3QGK · pith_short_16: BOSGA7NT3QGK2P4X · pith_short_8: BOSGA7NT

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/BOSGA7NT3QGK2P4XJBFY7K5QPZ \
  | 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: 0ba4607db3dc0cad3f97484b8fabb07e6ff457bf7a7cea164f8a5f8592812b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8588f4e2fb5e9d6edfd947d61c115ce1807a148e795b4e702f230dcd19c7bf2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-01-25T11:30:07Z",
    "title_canon_sha256": "d3555276ee9dc3cb5c537733d313c3d3b016c5328a473ae99e534523622da4ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4776",
    "kind": "arxiv",
    "version": 1
  }
}