Pith Number

pith:7IRBRGBU

pith:2014:7IRBRGBUH5MS3NGIC7VTNWZD5K

not attested not anchored not stored refs pending

Crossed products by endomorphisms of $C_0(X)$-algebras

B. K. Kwasniewski

arxiv:1412.8240 v3 · 2014-12-29 · 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{7IRBRGBUH5MS3NGIC7VTNWZD5K}

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	2026-05-18T00:56:12.588924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa221898343f592db4c817eb36db23ea99d28cb5e8e524979d764a4e4213f29f

Aliases

arxiv: 1412.8240 · arxiv_version: 1412.8240v3 · doi: 10.48550/arxiv.1412.8240 · pith_short_12: 7IRBRGBUH5MS · pith_short_16: 7IRBRGBUH5MS3NGI · pith_short_8: 7IRBRGBU

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/7IRBRGBUH5MS3NGIC7VTNWZD5K \
  | 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: fa221898343f592db4c817eb36db23ea99d28cb5e8e524979d764a4e4213f29f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c46af5b407002fcdf235e6605e982ca1e71afdc7589f95d6a0b485ace8a8ab8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-12-29T01:54:35Z",
    "title_canon_sha256": "e698e9d1af0ace9410f7cadbc0f05b49dc87970b3d714b6143d8a22c0a8183c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8240",
    "kind": "arxiv",
    "version": 3
  }
}