Pith Number

pith:KYFHXNFY

pith:2016:KYFHXNFYVM5GAOYZVIFT2AAJC3

not attested not anchored not stored refs pending

The Multiplicative ideal theory of Leavitt Path Algebras

Kulumani M. Rangaswamy

arxiv:1604.07865 v2 · 2016-04-26 · 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{KYFHXNFYVM5GAOYZVIFT2AAJC3}

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	2026-05-18T01:12:54.735992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560a7bb4b8ab3a603b19aa0b3d000916f66e6c16f29244815cb7234ad17d57de

Aliases

arxiv: 1604.07865 · arxiv_version: 1604.07865v2 · doi: 10.48550/arxiv.1604.07865 · pith_short_12: KYFHXNFYVM5G · pith_short_16: KYFHXNFYVM5GAOYZ · pith_short_8: KYFHXNFY

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/KYFHXNFYVM5GAOYZVIFT2AAJC3 \
  | 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: 560a7bb4b8ab3a603b19aa0b3d000916f66e6c16f29244815cb7234ad17d57de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2003eadc1fb18302f966b0c00db97411919eae1a271c181a2395861e0076244c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-04-26T21:38:03Z",
    "title_canon_sha256": "0c1beaad1c986686273dd3434a9e5251685ce577d4b3953c126878ae8febe269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07865",
    "kind": "arxiv",
    "version": 2
  }
}