Pith Number

pith:2HXNDDRU

pith:2015:2HXNDDRUMME4I476W2OS3BKMYO

not attested not anchored not stored refs pending

A Criterion for $\mathcal{Z}$-Stability with Applications to Crossed Products

Julian Buck

arxiv:1507.07524 v2 · 2015-07-27 · 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{2HXNDDRUMME4I476W2OS3BKMYO}

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	2026-05-18T01:06:41.037025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1eed18e346309c473feb69d2d854cc3862ca6a36b003e6fb9b478ade03ebfb5

Aliases

arxiv: 1507.07524 · arxiv_version: 1507.07524v2 · doi: 10.48550/arxiv.1507.07524 · pith_short_12: 2HXNDDRUMME4 · pith_short_16: 2HXNDDRUMME4I476 · pith_short_8: 2HXNDDRU

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/2HXNDDRUMME4I476W2OS3BKMYO \
  | 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: d1eed18e346309c473feb69d2d854cc3862ca6a36b003e6fb9b478ade03ebfb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c45e4596db6e6e538eb1bb34657e1e339955dff54b555c055c85b86279633e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-07-27T18:49:29Z",
    "title_canon_sha256": "02a7ae31bdce952fbd072361625322984b63ce97ea0e9ee39b2fb1c80880d6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07524",
    "kind": "arxiv",
    "version": 2
  }
}