Pith Number

pith:45I3PA34

pith:2011:45I3PA34E27EHY3K3ZS3A7BFB3

not attested not anchored not stored refs pending

A groupoid generalization of Leavitt path algebras

Aidan Sims, Cynthia Farthing, Lisa Orloff Clark, Mark Tomforde

arxiv:1110.6198 v2 · 2011-10-27 · 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{45I3PA34E27EHY3K3ZS3A7BFB3}

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	2026-05-18T04:03:06.510031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e751b7837c26be43e36ade65b07c250ecc664078442b7de86001961ab2543edb

Aliases

arxiv: 1110.6198 · arxiv_version: 1110.6198v2 · doi: 10.48550/arxiv.1110.6198 · pith_short_12: 45I3PA34E27E · pith_short_16: 45I3PA34E27EHY3K · pith_short_8: 45I3PA34

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/45I3PA34E27EHY3K3ZS3A7BFB3 \
  | 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: e751b7837c26be43e36ade65b07c250ecc664078442b7de86001961ab2543edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab8cacff94246626be372fcbcde855cf9bd80c207f777f3ae97628c67954843",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-27T21:06:58Z",
    "title_canon_sha256": "9bdb833e950010696ff774f3d715b3bab80733f68527574a7e0c32452b5d6772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6198",
    "kind": "arxiv",
    "version": 2
  }
}