Pith Number

pith:WFVTHTLU

pith:2017:WFVTHTLUYIWIG2QPWBTNRZQ3C6

not attested not anchored not stored refs pending

Higher-rank graph algebras are iterated Cuntz-Pimsner algebras

James Fletcher

arxiv:1711.01698 v2 · 2017-11-06 · 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{WFVTHTLUYIWIG2QPWBTNRZQ3C6}

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	2026-05-18T00:06:48.356369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16b33cd74c22c836a0fb066d8e61b17b81035c7dd2d75d845d8e2f813633ef6

Aliases

arxiv: 1711.01698 · arxiv_version: 1711.01698v2 · doi: 10.48550/arxiv.1711.01698 · pith_short_12: WFVTHTLUYIWI · pith_short_16: WFVTHTLUYIWIG2QP · pith_short_8: WFVTHTLU

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/WFVTHTLUYIWIG2QPWBTNRZQ3C6 \
  | 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: b16b33cd74c22c836a0fb066d8e61b17b81035c7dd2d75d845d8e2f813633ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6569e2c52b5d4c0893ab3881e7395a4fa97d5fc56e11053574806f2c12bcd74a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-11-06T02:14:52Z",
    "title_canon_sha256": "66cf252ae13d05bd73fce92e74792dc638bd7b4d1b27c2a7fbd6fcb3c9a95cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01698",
    "kind": "arxiv",
    "version": 2
  }
}