Pith Number

pith:4L55B4VC

pith:2015:4L55B4VC2Q4KBX3L7SWM3VJBCK

not attested not anchored not stored refs pending

The commutative core of a Leavitt path algebra

Alireza Nasr-Isfahani, Crist\'obal Gil Canto

arxiv:1510.03992 v3 · 2015-10-14 · 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{4L55B4VC2Q4KBX3L7SWM3VJBCK}

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	2026-05-17T23:58:15.293822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2fbd0f2a2d438a0df6bfcaccdd521128cc9dc9f77d1992eb96a33a8718d7480

Aliases

arxiv: 1510.03992 · arxiv_version: 1510.03992v3 · doi: 10.48550/arxiv.1510.03992 · pith_short_12: 4L55B4VC2Q4K · pith_short_16: 4L55B4VC2Q4KBX3L · pith_short_8: 4L55B4VC

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/4L55B4VC2Q4KBX3L7SWM3VJBCK \
  | 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: e2fbd0f2a2d438a0df6bfcaccdd521128cc9dc9f77d1992eb96a33a8718d7480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57693976d24d4ad49332829fd49508c73e6b90ce4243887264fe2775305ecd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-14T08:13:52Z",
    "title_canon_sha256": "a2fde0e789d1a3bc2812157bb64884744e94c096efa3b3740c5ad67a37c958f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03992",
    "kind": "arxiv",
    "version": 3
  }
}