Pith Number

pith:WXS2V733

pith:2012:WXS2V733AXGWAP6GHF2IKBHG54

not attested not anchored not stored refs pending

On the K-theory of crossed products by automorphic semigroup actions

Joachim Cuntz, Siegfried Echterhoff, Xin Li

arxiv:1205.5412 v1 · 2012-05-24 · math.OA · math.DS · 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{WXS2V733AXGWAP6GHF2IKBHG54}

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	2026-05-18T03:55:01.075622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e5aaff7b05cd603fc639748504e6ef114c8d3cc76438cd95c575f34de13dd9

Aliases

arxiv: 1205.5412 · arxiv_version: 1205.5412v1 · doi: 10.48550/arxiv.1205.5412 · pith_short_12: WXS2V733AXGW · pith_short_16: WXS2V733AXGWAP6G · pith_short_8: WXS2V733

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/WXS2V733AXGWAP6GHF2IKBHG54 \
  | 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: b5e5aaff7b05cd603fc639748504e6ef114c8d3cc76438cd95c575f34de13dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ab7a1bfe46ecc52aea9931b3d762e38d8b6a9b767cda60801d7f1e68c1b557",
    "cross_cats_sorted": [
      "math.DS",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-05-24T12:10:47Z",
    "title_canon_sha256": "dbb882e2ad4aa2b4821a06a8b63955781c8b869599224bfbd062675d38bcc1bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5412",
    "kind": "arxiv",
    "version": 1
  }
}