Pith Number

pith:KKU3WUK4

pith:2018:KKU3WUK44A3RCRCGYQVCMVHKGI

not attested not anchored not stored refs pending

Leavitt path algebras with bounded index of nilpotence

Ashish K. Srivastava, K. M. Rangaswamy

arxiv:1808.10756 v2 · 2018-08-30 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKU3WUK44A3RCRCGYQVCMVHKGI}

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	2026-05-18T00:05:27.831242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a9bb515ce037114446c42a2654ea323d09803bc22c8c707b477cd7a466681e

Aliases

arxiv: 1808.10756 · arxiv_version: 1808.10756v2 · doi: 10.48550/arxiv.1808.10756 · pith_short_12: KKU3WUK44A3R · pith_short_16: KKU3WUK44A3RCRCG · pith_short_8: KKU3WUK4

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/KKU3WUK44A3RCRCGYQVCMVHKGI \
  | 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: 52a9bb515ce037114446c42a2654ea323d09803bc22c8c707b477cd7a466681e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406b4ab5a45a16cf824538e69b2d7e7996860e098c367e7ed4b133c697d87e15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-08-30T01:50:08Z",
    "title_canon_sha256": "a9b2e365673061899b4e4b40f99de67105539696bb1f0579d6f3b87ddead2b7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10756",
    "kind": "arxiv",
    "version": 2
  }
}