Pith Number

pith:6WKKOOB3

pith:2026:6WKKOOB3JSR57K6OM7D6FUWS4D

not attested not anchored not stored refs pending

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras

David Pask

arxiv:2607.27691 v1 · 2026-07-30 · 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{6WKKOOB3JSR57K6OM7D6FUWS4D}

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	2026-07-31T01:29:44.613313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

f594a7383b4ca3dfabce67c7e2d2d2e0d8ccd37d3412fa34361eae5d21151ae2

Aliases

arxiv: 2607.27691 · arxiv_version: 2607.27691v1 · doi: 10.48550/arxiv.2607.27691 · pith_short_12: 6WKKOOB3JSR5 · pith_short_16: 6WKKOOB3JSR57K6O · pith_short_8: 6WKKOOB3

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/6WKKOOB3JSR57K6OM7D6FUWS4D \
  | 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: f594a7383b4ca3dfabce67c7e2d2d2e0d8ccd37d3412fa34361eae5d21151ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c5963efcc5ca81edb9740b7d190cc4d777214a33d78148235336764e28ea785",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-30T05:24:18Z",
    "title_canon_sha256": "d2000ed3103ffaca61e0ae703a2d8200a220eed06aa95960be58a6e8f8cb6875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27691",
    "kind": "arxiv",
    "version": 1
  }
}