Pith Number

pith:VOJCHC7J

pith:2024:VOJCHC7JLWQSZBMV7GJEORPJIK

not attested not anchored not stored refs pending

$K$-theory of rings of continuous functions

Ko Aoki

arxiv:2402.05257 v1 · 2024-02-07 · math.KT · math.AC · math.AG · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOJCHC7JLWQSZBMV7GJEORPJIK}

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

Very Schwartz coidempotents and continuous spectrum

Receipt and verification

First computed	2026-07-05T07:42:47.005993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab92238be95da12c8595f9924745e942a2b5bc56ea4ebf241f9a2996e8bba5c4

Aliases

arxiv: 2402.05257 · arxiv_version: 2402.05257v1 · doi: 10.48550/arxiv.2402.05257 · pith_short_12: VOJCHC7JLWQS · pith_short_16: VOJCHC7JLWQSZBMV · pith_short_8: VOJCHC7J

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/VOJCHC7JLWQSZBMV7GJEORPJIK \
  | 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: ab92238be95da12c8595f9924745e942a2b5bc56ea4ebf241f9a2996e8bba5c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb902e32035b002d32fe14bcbd6b85c39cc1c6206148f232ce96ec8fac95975",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-02-07T21:05:45Z",
    "title_canon_sha256": "f081dd574bf83773a2747029873dd1f89e4b386b37932993bbe168fcfa3bb739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.05257",
    "kind": "arxiv",
    "version": 1
  }
}