Pith Number

pith:VGAZP7HZ

pith:2020:VGAZP7HZTOHLIH3PGQF5TQ67HD

not attested not anchored not stored refs pending

Frobenius-Perron Theory of Representations of Quivers

J.-H. Zhou, J. J. Zhang

arxiv:2004.09111 v3 · 2020-04-20 · 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{VGAZP7HZTOHLIH3PGQF5TQ67HD}

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	2026-07-05T03:27:54.622718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98197fcf99b8eb41f6f340bd9c3df38d325a7b15e2cdb3608e818db84773841

Aliases

arxiv: 2004.09111 · arxiv_version: 2004.09111v3 · doi: 10.48550/arxiv.2004.09111 · pith_short_12: VGAZP7HZTOHL · pith_short_16: VGAZP7HZTOHLIH3P · pith_short_8: VGAZP7HZ

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/VGAZP7HZTOHLIH3PGQF5TQ67HD \
  | 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: a98197fcf99b8eb41f6f340bd9c3df38d325a7b15e2cdb3608e818db84773841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31602c74e1dbc5f92568c0ad6fb5ebc51652cc69a11804cc5906a105ec488529",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2020-04-20T07:56:32Z",
    "title_canon_sha256": "c6e7a650565e3e8ccaa265ee2d94fcd53bf3238d7bcb47a052ca1f8dd7aaaa34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09111",
    "kind": "arxiv",
    "version": 3
  }
}