Pith Number

pith:FHOETLWG

pith:2006:FHOETLWGKN455PBFI2TBNNU4AT

not attested not anchored not stored refs pending

Uniqueness Theorems and Ideal Structure for Leavitt Path Algebras

Mark Tomforde

arxiv:math/0612628 v6 · 2006-12-21 · math.OA · 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{FHOETLWGKN455PBFI2TBNNU4AT}

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	2026-07-04T14:59:43.707126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29dc49aec65379debc2546a616b69c04ce92d478a32d2a3545afd44b9856c7d5

Aliases

arxiv: math/0612628 · arxiv_version: math/0612628v6 · doi: 10.48550/arxiv.math/0612628 · pith_short_12: FHOETLWGKN45 · pith_short_16: FHOETLWGKN455PBF · pith_short_8: FHOETLWG

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/FHOETLWGKN455PBFI2TBNNU4AT \
  | 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: 29dc49aec65379debc2546a616b69c04ce92d478a32d2a3545afd44b9856c7d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614cefb95e6943424ab7a8dab6e7f073b283ca9ab0e02cdd888050ce042439b9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-12-21T04:33:48Z",
    "title_canon_sha256": "1e634591edbdb22e73bc1bded5b8908e4e69d29a7cf37c106815dddec404aebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612628",
    "kind": "arxiv",
    "version": 6
  }
}