Pith Number

pith:DZMDKHWA

pith:2025:DZMDKHWAYHBRIKLBNUSILQ44IY

not attested not anchored not stored refs pending

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras

Baukje Debets, Gabor Szabo, Jorge Castillejos

arxiv:2505.04857 v2 · 2025-05-07 · 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{DZMDKHWAYHBRIKLBNUSILQ44IY}

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	2026-07-05T11:00:44.899021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e58351ec0c1c31429616d2485c39c4630d89642a5d5480d6ee7ec36d253bf9f

Aliases

arxiv: 2505.04857 · arxiv_version: 2505.04857v2 · doi: 10.48550/arxiv.2505.04857 · pith_short_12: DZMDKHWAYHBR · pith_short_16: DZMDKHWAYHBRIKLB · pith_short_8: DZMDKHWA

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/DZMDKHWAYHBRIKLBNUSILQ44IY \
  | 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: 1e58351ec0c1c31429616d2485c39c4630d89642a5d5480d6ee7ec36d253bf9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19c17d3f2a0f8be8486a1ddfd3b44cb63edc7a7c1cca0d0ad763658b5939fcbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-05-07T23:45:56Z",
    "title_canon_sha256": "ecac6409ed0d2d32dfe225a13f5aaefbc80b7d3394f231951115f65409f5e2c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04857",
    "kind": "arxiv",
    "version": 2
  }
}