Pith Number

pith:KOIS55OM

pith:2011:KOIS55OMASG6ATDEAVGFRB2PXK

not attested not anchored not stored refs pending

Atlas of Leavitt Path Algebras of small graphs

C\'andido Mart\'in Gonz\'alez, Dolores Mart\'in Barquero, Gonzalo Aranda Pino, Mercedes Siles Molina, Pablo Alberca Bjerregaard

arxiv:1112.5735 v1 · 2011-12-24 · 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{KOIS55OMASG6ATDEAVGFRB2PXK}

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	2026-05-18T04:05:37.691670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53912ef5cc048de04c64054c58874fbab666b51c1a7f264efd0ff373eb17871b

Aliases

arxiv: 1112.5735 · arxiv_version: 1112.5735v1 · doi: 10.48550/arxiv.1112.5735 · pith_short_12: KOIS55OMASG6 · pith_short_16: KOIS55OMASG6ATDE · pith_short_8: KOIS55OM

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/KOIS55OMASG6ATDEAVGFRB2PXK \
  | 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: 53912ef5cc048de04c64054c58874fbab666b51c1a7f264efd0ff373eb17871b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb63d9f0b4677c3dff9835022ca79374ca8797821e6472a2b63d8bc1671259e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-12-24T16:26:32Z",
    "title_canon_sha256": "9f7f27987ebfaa08e91e00b1ad565c2fed50e7c3f407d5f3d39634e6bf5f11a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5735",
    "kind": "arxiv",
    "version": 1
  }
}