Pith Number

pith:NFVIMJT6

pith:2024:NFVIMJT6PVFGS5I2JWBQTLFZGP

not attested not anchored not stored refs pending

Real $K$-Theory for $C^*$-Algebras: Just the Facts

Claude Schochet, Jeff Boersema

arxiv:2407.05880 v4 · 2024-07-08 · 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{NFVIMJT6PVFGS5I2JWBQTLFZGP}

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	2026-07-31T00:10:07.085943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

696a86267e7d4a69751a4d8309acb933eda6951acae452438cac9ce5ae16e99f

Aliases

arxiv: 2407.05880 · arxiv_version: 2407.05880v4 · doi: 10.48550/arxiv.2407.05880 · pith_short_12: NFVIMJT6PVFG · pith_short_16: NFVIMJT6PVFGS5I2 · pith_short_8: NFVIMJT6

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/NFVIMJT6PVFGS5I2JWBQTLFZGP \
  | 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: 696a86267e7d4a69751a4d8309acb933eda6951acae452438cac9ce5ae16e99f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6173c971e188b13adcd1084758683448bfe8b4d6759d912c305ca2e2949a0ef",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-07-08T12:43:03Z",
    "title_canon_sha256": "995b3e00b0a08aa2ab408f46866315d4fd69ee94081d7b77b16ccce2a32acecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05880",
    "kind": "arxiv",
    "version": 4
  }
}