Pith Number

pith:ANTBLKTU

pith:2013:ANTBLKTUS45AONUBYSYFFXEAKK

not attested not anchored not stored refs pending

Kirchberg X-algebras with real rank zero and intermediate cancellation

Rasmus Bentmann

arxiv:1301.6652 v3 · 2013-01-28 · math.OA · 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{ANTBLKTUS45AONUBYSYFFXEAKK}

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	2026-05-18T03:08:14.342445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

036615aa74973a073681c4b052dc805289faba7b45d8b5eddc3152454b3ce9e4

Aliases

arxiv: 1301.6652 · arxiv_version: 1301.6652v3 · doi: 10.48550/arxiv.1301.6652 · pith_short_12: ANTBLKTUS45A · pith_short_16: ANTBLKTUS45AONUB · pith_short_8: ANTBLKTU

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/ANTBLKTUS45AONUBYSYFFXEAKK \
  | 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: 036615aa74973a073681c4b052dc805289faba7b45d8b5eddc3152454b3ce9e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1fec73fbcc5583ecb75830ee7e3792649aa1ddacbeabd8da93a543758374dc2",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-01-28T19:41:55Z",
    "title_canon_sha256": "b348b1763280c7ec95186064e23817d575534870772a72dc3e817b16bf98025e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6652",
    "kind": "arxiv",
    "version": 3
  }
}