Pith Number

pith:FCZBBLIJ

pith:2008:FCZBBLIJQNUAMWWRU6CEM3B6XZ

not attested not anchored not stored refs pending

Counting Quiver Representations over Finite Fields Via Graph Enumeration

Fernando Rodriguez Villegas, Geir T. Helleloid

arxiv:0810.2127 v2 · 2008-10-12 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCZBBLIJQNUAMWWRU6CEM3B6XZ}

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	2026-05-18T00:19:49.397621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b210ad098368065ad1a784466c3ebe76c9d06763f1e78384cbc480ae548413

Aliases

arxiv: 0810.2127 · arxiv_version: 0810.2127v2 · doi: 10.48550/arxiv.0810.2127 · pith_short_12: FCZBBLIJQNUA · pith_short_16: FCZBBLIJQNUAMWWR · pith_short_8: FCZBBLIJ

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/FCZBBLIJQNUAMWWRU6CEM3B6XZ \
  | 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: 28b210ad098368065ad1a784466c3ebe76c9d06763f1e78384cbc480ae548413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018d019543b6182e05669d4ed154869163cb06f2ca8aebdc0c36b477cf9403df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-10-12T21:29:00Z",
    "title_canon_sha256": "8609af6d1fc269e6176214421c360ecc4d4e6f486a908d53c3f9cb5047ff3944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2127",
    "kind": "arxiv",
    "version": 2
  }
}