Pith Number

pith:4YGRIS3T

pith:2026:4YGRIS3TBLXJ6C5PLZOSZRMVLW

not attested not anchored not stored refs pending

A secondary pairing between K-theory and K-homology, relative eta invariants, and zeta maps

Rufus Willett

arxiv:2605.23010 v1 · 2026-05-21 · 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{4YGRIS3TBLXJ6C5PLZOSZRMVLW}

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	2026-05-25T02:01:34.260259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60d144b730aee9f0baf5e5d2cc5955d89f11907a6bad39159fe5913dc353465

Aliases

arxiv: 2605.23010 · arxiv_version: 2605.23010v1 · doi: 10.48550/arxiv.2605.23010 · pith_short_12: 4YGRIS3TBLXJ · pith_short_16: 4YGRIS3TBLXJ6C5P · pith_short_8: 4YGRIS3T

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/4YGRIS3TBLXJ6C5PLZOSZRMVLW \
  | 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: e60d144b730aee9f0baf5e5d2cc5955d89f11907a6bad39159fe5913dc353465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c6dd57a4d1d1cd851635c2633abb1677ed24a81ba0e10ed9a04310f453026a6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2026-05-21T20:31:52Z",
    "title_canon_sha256": "3bbc6e602b765c33af5dc1b343d8dfc0a0e1c68045b5ee6572ae563d5f099816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23010",
    "kind": "arxiv",
    "version": 1
  }
}