Pith Number

pith:MLRNDUTD

pith:2010:MLRNDUTDQ2TTB723FXNTSLUZAY

not attested not anchored not stored refs pending

The graded structure of Leavitt Path algebras

R. Hazrat

arxiv:1005.1900 v6 · 2010-05-11 · 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{MLRNDUTDQ2TTB723FXNTSLUZAY}

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	2026-05-18T04:09:53.803262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e2d1d26386a730ff5b2ddb392e9906187c26a90c22476cd58402f6db915411

Aliases

arxiv: 1005.1900 · arxiv_version: 1005.1900v6 · doi: 10.48550/arxiv.1005.1900 · pith_short_12: MLRNDUTDQ2TT · pith_short_16: MLRNDUTDQ2TTB723 · pith_short_8: MLRNDUTD

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/MLRNDUTDQ2TTB723FXNTSLUZAY \
  | 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: 62e2d1d26386a730ff5b2ddb392e9906187c26a90c22476cd58402f6db915411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fadd1531ae5fc9cb8db83a67acd4e9d87ce5f06ca0e2454f4b305b9caf5f192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-05-11T18:06:31Z",
    "title_canon_sha256": "7da17dc4bce10dc193a363d71c8c8abcd4cd45e8b357c04f58242d45decff43e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1900",
    "kind": "arxiv",
    "version": 6
  }
}