Pith Number

pith:5LH2MZMB

pith:2018:5LH2MZMBLGPMMMUVNRNSYSG6DQ

not attested not anchored not stored refs pending

$\mathbb{Z}$-graded rings as Cuntz-Pimsner rings

Huanhuan Li, James Fletcher, Lisa Orloff Clark, Roozbeh Hazrat

arxiv:1808.10114 v2 · 2018-08-30 · math.RA · 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{5LH2MZMBLGPMMMUVNRNSYSG6DQ}

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	2026-05-18T00:01:37.825995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eacfa66581599ec632956c5b2c48de1c003fc625a60c4a212fa2b9917fa50e6d

Aliases

arxiv: 1808.10114 · arxiv_version: 1808.10114v2 · doi: 10.48550/arxiv.1808.10114 · pith_short_12: 5LH2MZMBLGPM · pith_short_16: 5LH2MZMBLGPMMMUV · pith_short_8: 5LH2MZMB

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/5LH2MZMBLGPMMMUVNRNSYSG6DQ \
  | 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: eacfa66581599ec632956c5b2c48de1c003fc625a60c4a212fa2b9917fa50e6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19755e975efca4b4f5b04fb693689b981929cec3a60b2d082770f0899c38bc68",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-08-30T04:32:49Z",
    "title_canon_sha256": "b3c69de1c4d273c90291bd8cf9ef7ba3cbdff12fce76ca6d446c83ca31d1be7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10114",
    "kind": "arxiv",
    "version": 2
  }
}