Pith Number

pith:ISGH6VU7

pith:2026:ISGH6VU7IOB3JGKRJHS3BEYN3O

not attested not anchored not stored refs pending

On the relation between the product of KK-groups and the KK-group of the product

Diego Mart\'inez

arxiv:2606.20181 v1 · 2026-06-18 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISGH6VU7IOB3JGKRJHS3BEYN3O}

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	2026-06-19T16:13:04.991668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448c7f569f4383b4995149e5b0930ddbaf4bad60fe4d50a665505af294e37e30

Aliases

arxiv: 2606.20181 · arxiv_version: 2606.20181v1 · doi: 10.48550/arxiv.2606.20181 · pith_short_12: ISGH6VU7IOB3 · pith_short_16: ISGH6VU7IOB3JGKR · pith_short_8: ISGH6VU7

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/ISGH6VU7IOB3JGKRJHS3BEYN3O \
  | 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: 448c7f569f4383b4995149e5b0930ddbaf4bad60fe4d50a665505af294e37e30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b7af09695b75863cc4d8d4463a65392cf3ae20bc3971f9632b37f163a64eb06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-18T12:51:58Z",
    "title_canon_sha256": "d6e058183dba09dc4e2b7a7e66c5f5f2edc5fd6625a8d08d7a5d1737b2d2c5c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20181",
    "kind": "arxiv",
    "version": 1
  }
}