Pith Number

pith:34YL4VQV

pith:2025:34YL4VQV4T4O2TO6LGOSSCS35P

not attested not anchored not stored refs pending

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems

Levi Lorenzo

arxiv:2505.24135 v1 · 2025-05-30 · 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{34YL4VQV4T4O2TO6LGOSSCS35P}

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	2026-07-05T11:12:42.605083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df30be5615e4f8ed4dde599d290a5bebd79c028c53682dbcda39417057e33c2b

Aliases

arxiv: 2505.24135 · arxiv_version: 2505.24135v1 · doi: 10.48550/arxiv.2505.24135 · pith_short_12: 34YL4VQV4T4O · pith_short_16: 34YL4VQV4T4O2TO6 · pith_short_8: 34YL4VQV

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/34YL4VQV4T4O2TO6LGOSSCS35P \
  | 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: df30be5615e4f8ed4dde599d290a5bebd79c028c53682dbcda39417057e33c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e790383bfb4049969566d13957090483dcea8afe83e85da9e163abc0c784743b",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-05-30T02:11:23Z",
    "title_canon_sha256": "7f6ae1a0962b8be5f9d7256ff694f4641a6837dc57c6f2c6263a42e99e1d14d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24135",
    "kind": "arxiv",
    "version": 1
  }
}