Pith Number

pith:W6JTPYYI

pith:2025:W6JTPYYIQS77G3LWVR6BCCZ4R5

not attested not anchored not stored refs pending

Spectral localizers in KK-theory

Jens Kaad

arxiv:2508.08668 v1 · 2025-08-12 · math.KT · 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{W6JTPYYIQS77G3LWVR6BCCZ4R5}

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	2026-07-05T11:52:32.134288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79337e30884bff36d76ac7c110b3c8f40a092c9a02e965318e32313aefffe66

Aliases

arxiv: 2508.08668 · arxiv_version: 2508.08668v1 · doi: 10.48550/arxiv.2508.08668 · pith_short_12: W6JTPYYIQS77 · pith_short_16: W6JTPYYIQS77G3LW · pith_short_8: W6JTPYYI

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/W6JTPYYIQS77G3LWVR6BCCZ4R5 \
  | 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: b79337e30884bff36d76ac7c110b3c8f40a092c9a02e965318e32313aefffe66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11da29162c65d9953343a3710aa611595d460c0ffa8a4792b81bf9d79ceba15",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-08-12T06:29:42Z",
    "title_canon_sha256": "c06652a80b45a7715428a1366b29f9dfa933623231d050caf780d11aeb148f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08668",
    "kind": "arxiv",
    "version": 1
  }
}