Pith Number

pith:3MLEFWDK

pith:2019:3MLEFWDKGNEANXGLS66XTFBMYR

not attested not anchored not stored refs pending

Irreducible and permutative representations of ultragraph Leavitt path algebras

Daniel Gon\c{c}alves, Danilo Royer

arxiv:1906.11602 v1 · 2019-06-27 · 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{3MLEFWDKGNEANXGLS66XTFBMYR}

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	2026-05-17T23:42:04.340725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1642d86a334806dccb97bd79942cc469b90de05b71c7d433d043a3be183052

Aliases

arxiv: 1906.11602 · arxiv_version: 1906.11602v1 · doi: 10.48550/arxiv.1906.11602 · pith_short_12: 3MLEFWDKGNEA · pith_short_16: 3MLEFWDKGNEANXGL · pith_short_8: 3MLEFWDK

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/3MLEFWDKGNEANXGLS66XTFBMYR \
  | 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: db1642d86a334806dccb97bd79942cc469b90de05b71c7d433d043a3be183052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "237bae4721033195c29dea8ca500fac276bfec7530ab28744b6930408b139460",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-06-27T13:07:47Z",
    "title_canon_sha256": "adfbec02051956760a6f13a1b25fee27c0db959aba05854be67be66f8795b083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11602",
    "kind": "arxiv",
    "version": 1
  }
}