Pith Number

pith:BGDISHSP

pith:2006:BGDISHSPQSBYUHUS6LYXII53SN

not attested not anchored not stored refs pending

Cluster-Cyclic Quivers with three Vertices and the Markov Equation

Andre Beineke, Lutz Hille, Thomas Br\"ustle

arxiv:math/0612213 v2 · 2006-12-08 · math.RA · 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{BGDISHSPQSBYUHUS6LYXII53SN}

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	2026-05-18T04:08:53.092759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0986891e4f84838a1e92f2f17423bb9374178103d54fadd0983c00b8bdd6130a

Aliases

arxiv: math/0612213 · arxiv_version: math/0612213v2 · doi: 10.48550/arxiv.math/0612213 · pith_short_12: BGDISHSPQSBY · pith_short_16: BGDISHSPQSBYUHUS · pith_short_8: BGDISHSP

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/BGDISHSPQSBYUHUS6LYXII53SN \
  | 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: 0986891e4f84838a1e92f2f17423bb9374178103d54fadd0983c00b8bdd6130a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "032397160188a2dd743b60465e1299a4a5170b604b4c96dbb6d96cd54d5f5926",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2006-12-08T11:53:03Z",
    "title_canon_sha256": "1e6da950fcf11410aceba0407b1a8dfa837001bc17b7db5f62d72d61785c2ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612213",
    "kind": "arxiv",
    "version": 2
  }
}