Pith Number

pith:ZNNNXUST

pith:2018:ZNNNXUSTU4MG2SRDWFX3SSYFS2

not attested not anchored not stored refs pending

A program for finding all KMS states on the Toeplitz algebra of a higher-rank graph

Astrid an Huef, Iain Raeburn, James Fletcher

arxiv:1801.03189 v1 · 2018-01-09 · 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{ZNNNXUSTU4MG2SRDWFX3SSYFS2}

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	2026-05-18T00:26:18.802647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5adbd253a7186d4a23b16fb94b059689742bd009060f48e05788066f6204ce

Aliases

arxiv: 1801.03189 · arxiv_version: 1801.03189v1 · doi: 10.48550/arxiv.1801.03189 · pith_short_12: ZNNNXUSTU4MG · pith_short_16: ZNNNXUSTU4MG2SRD · pith_short_8: ZNNNXUST

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/ZNNNXUSTU4MG2SRDWFX3SSYFS2 \
  | 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: cb5adbd253a7186d4a23b16fb94b059689742bd009060f48e05788066f6204ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4009e6f8f7d19a72b771e6614a3cf6ada503c728025c79468252f102aec9ea1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-01-09T23:38:58Z",
    "title_canon_sha256": "0f7e4935770715697158ae4c1c734cf9836de242ffe66eb3428ee555caaeba89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03189",
    "kind": "arxiv",
    "version": 1
  }
}