Pith Number

pith:P5ETBKFQ

pith:2018:P5ETBKFQAH2YW3AGDDJ3K4LRI3

not attested not anchored not stored refs pending

The Local-Global Principle in Leavitt Path Algebras

Song\"ul Esin

arxiv:1808.04785 v1 · 2018-08-14 · 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{P5ETBKFQAH2YW3AGDDJ3K4LRI3}

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	2026-05-18T00:07:54.761492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f4930a8b001f58b6c0618d3b5717146da1f2d436fe3a62d986e1147375baa90

Aliases

arxiv: 1808.04785 · arxiv_version: 1808.04785v1 · doi: 10.48550/arxiv.1808.04785 · pith_short_12: P5ETBKFQAH2Y · pith_short_16: P5ETBKFQAH2YW3AG · pith_short_8: P5ETBKFQ

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/P5ETBKFQAH2YW3AGDDJ3K4LRI3 \
  | 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: 7f4930a8b001f58b6c0618d3b5717146da1f2d436fe3a62d986e1147375baa90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b77a9af1aeb9b4ca10e5a7612b9efe3ed7902dcdd86daf64367c256cc8e61af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-08-14T16:35:53Z",
    "title_canon_sha256": "000e56ba6e27bbde962016fa9aec6aa3d1092f21e718d8456dc3045ea121e065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04785",
    "kind": "arxiv",
    "version": 1
  }
}