Pith Number

pith:XLV5YVC3

pith:2026:XLV5YVC3XBKVW7UEF6IQGCY4SQ

not attested not anchored not stored refs pending

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions

Jianguo Zhang

arxiv:2601.09615 v2 · 2026-01-14 · 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{XLV5YVC3XBKVW7UEF6IQGCY4SQ}

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	2026-06-30T02:17:14.647309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baebdc545bb8555b7e842f91030b1c9409a80dfeed3924f7a16a110aaa042284

Aliases

arxiv: 2601.09615 · arxiv_version: 2601.09615v2 · doi: 10.48550/arxiv.2601.09615 · pith_short_12: XLV5YVC3XBKV · pith_short_16: XLV5YVC3XBKVW7UE · pith_short_8: XLV5YVC3

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/XLV5YVC3XBKVW7UEF6IQGCY4SQ \
  | 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: baebdc545bb8555b7e842f91030b1c9409a80dfeed3924f7a16a110aaa042284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1241dd6416e330b4a2d9feeb933f555932040b5c6d98a521a21eb70dfd9cb117",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-01-14T16:37:20Z",
    "title_canon_sha256": "ec8efc3363b089af0f1cc3f5957f893cce29f69cf7539759d45387d201efe982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.09615",
    "kind": "arxiv",
    "version": 2
  }
}