Pith Number

pith:YGVWVI2T

pith:2018:YGVWVI2T3CCQMJ2BISPCG4TRS2

not attested not anchored not stored refs pending

A graded pullback structure of Leavitt path algebras of trimmable graphs

Atabey Kaygun, Mariusz Tobolski, Piotr M. Hajac

arxiv:1803.10209 v1 · 2018-03-27 · 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{YGVWVI2T3CCQMJ2BISPCG4TRS2}

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	2026-05-18T00:20:00.087859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ab6aa353d885062741449e237271968389fa210a404945ad7fdcbe44c07a84

Aliases

arxiv: 1803.10209 · arxiv_version: 1803.10209v1 · doi: 10.48550/arxiv.1803.10209 · pith_short_12: YGVWVI2T3CCQ · pith_short_16: YGVWVI2T3CCQMJ2B · pith_short_8: YGVWVI2T

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/YGVWVI2T3CCQMJ2BISPCG4TRS2 \
  | 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: c1ab6aa353d885062741449e237271968389fa210a404945ad7fdcbe44c07a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce4f7057c9260f350dfadbd1f5681f5e21e449ffe74b8ae5659237c2aad48054",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-03-27T17:48:44Z",
    "title_canon_sha256": "d1711ff028b93cbfed6af2271db9f130ab1d7a580153df0330bc12b1d85d4c2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10209",
    "kind": "arxiv",
    "version": 1
  }
}