Pith Number

pith:ZP27JUJO

pith:2011:ZP27JUJODH37GUB7PELUTC2ZEQ

not attested not anchored not stored refs pending

Universal coefficient theorems for C*-algebras over finite topological spaces

Manuel K\"ohler, Rasmus Bentmann

arxiv:1101.5702 v3 · 2011-01-29 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZP27JUJODH37GUB7PELUTC2ZEQ}

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	2026-05-18T04:02:00.918530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf5f4d12e19f7f3503f7917498b59240fc7ff35df83da67ccab2ec178b3b6fb

Aliases

arxiv: 1101.5702 · arxiv_version: 1101.5702v3 · doi: 10.48550/arxiv.1101.5702 · pith_short_12: ZP27JUJODH37 · pith_short_16: ZP27JUJODH37GUB7 · pith_short_8: ZP27JUJO

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/ZP27JUJODH37GUB7PELUTC2ZEQ \
  | 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: cbf5f4d12e19f7f3503f7917498b59240fc7ff35df83da67ccab2ec178b3b6fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45025c5bf1e3ed74e6add8ade37a573e8b0f590dab853f8bc699f0588c8fcb4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-01-29T15:47:56Z",
    "title_canon_sha256": "f4e3d73b42f7cef32e77e9364f5c9e2710c95e34c7a48a56fe04e748fa87d54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5702",
    "kind": "arxiv",
    "version": 3
  }
}