Pith Number

pith:KXUAIVYQ

pith:2018:KXUAIVYQCRAXRRUTO4VDOB36TJ

not attested not anchored not stored refs pending

K-theory and index formulas for boundary groupoid C*-algebras

Bing Kwan So

arxiv:1804.10426 v1 · 2018-04-27 · math.KT · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXUAIVYQCRAXRRUTO4VDOB36TJ}

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	2026-05-18T00:17:20.800371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e8045710144178c693772a37077e9a5afc678ae15908696c2cfb20e7c8ea71

Aliases

arxiv: 1804.10426 · arxiv_version: 1804.10426v1 · doi: 10.48550/arxiv.1804.10426 · pith_short_12: KXUAIVYQCRAX · pith_short_16: KXUAIVYQCRAXRRUT · pith_short_8: KXUAIVYQ

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/KXUAIVYQCRAXRRUTO4VDOB36TJ \
  | 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: 55e8045710144178c693772a37077e9a5afc678ae15908696c2cfb20e7c8ea71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1983adb31ea6d83fda67c3016512a2164ad4a0d388585b320d0ddd5961aa92",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-04-27T10:15:07Z",
    "title_canon_sha256": "1d6c4ad97ad4195db9a36f7e56932be153e4672085926c7b85626fbf289f7b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10426",
    "kind": "arxiv",
    "version": 1
  }
}