Pith Number

pith:HF5QHA4V

pith:2015:HF5QHA4VW37LMD6MSZ646K7T6M

not attested not anchored not stored refs pending

On graded irreducible representations of Leavitt path algebras

Kulumani M. Rangaswamy, Roozbeh Hazrat

arxiv:1507.05984 v1 · 2015-07-21 · 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{HF5QHA4VW37LMD6MSZ646K7T6M}

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	2026-05-18T01:36:27.022924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

397b038395b6feb60fcc967dcf2bf3f3314c669e7f100ae827e753cdee4d70fe

Aliases

arxiv: 1507.05984 · arxiv_version: 1507.05984v1 · doi: 10.48550/arxiv.1507.05984 · pith_short_12: HF5QHA4VW37L · pith_short_16: HF5QHA4VW37LMD6M · pith_short_8: HF5QHA4V

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/HF5QHA4VW37LMD6MSZ646K7T6M \
  | 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: 397b038395b6feb60fcc967dcf2bf3f3314c669e7f100ae827e753cdee4d70fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9761f3b6cfb2bedf28f30737631b1be8913bbb463fcafdc1a97cd82e8cd0933a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-07-21T20:45:24Z",
    "title_canon_sha256": "df4bf521bfa0b91fd87ca3698452d59a7b63be158a582ad87a2c7b32f42ca3f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05984",
    "kind": "arxiv",
    "version": 1
  }
}