Pith Number

pith:M7TN3GLS

pith:2010:M7TN3GLSLGJDHEULUOOFFDUTEN

not attested not anchored not stored refs pending

Structure and K-theory of crossed products by proper actions

Heath Emerson, Siegfried Echterhoff

arxiv:1012.5214 v1 · 2010-12-23 · 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{M7TN3GLSLGJDHEULUOOFFDUTEN}

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	2026-05-18T04:32:35.573052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e6dd9972599233928ba39c528e93234098374fbdd62dda523ca7e0f52c18cc

Aliases

arxiv: 1012.5214 · arxiv_version: 1012.5214v1 · doi: 10.48550/arxiv.1012.5214 · pith_short_12: M7TN3GLSLGJD · pith_short_16: M7TN3GLSLGJDHEUL · pith_short_8: M7TN3GLS

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/M7TN3GLSLGJDHEULUOOFFDUTEN \
  | 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: 67e6dd9972599233928ba39c528e93234098374fbdd62dda523ca7e0f52c18cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0d15c015b13ed0ffe8e34c5cc8bf65e9d326ceb4cb7e08703a48bb7e469a3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-12-23T14:28:03Z",
    "title_canon_sha256": "8cf374a234e89fa97314d403bbdbf20e220d2ea162c029cb3d7aef474a4a17e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5214",
    "kind": "arxiv",
    "version": 1
  }
}