Pith Number

pith:LR4DCJUC

pith:2009:LR4DCJUCSWFSAAZGBKBQHGEXOY

not attested not anchored not stored refs pending

Counting the number of elements in the mutation classes of \tilde{A}_n-quivers

Christian Stump, Janine Bastian, Martin Rubey, Thomas Prellberg

arxiv:0906.0487 v3 · 2009-06-02 · math.CO · 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{LR4DCJUCSWFSAAZGBKBQHGEXOY}

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	2026-05-18T04:23:21.305611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c78312682958b2003260a830398977604323eb1ccb4a1e95a6449758b529d4b

Aliases

arxiv: 0906.0487 · arxiv_version: 0906.0487v3 · doi: 10.48550/arxiv.0906.0487 · pith_short_12: LR4DCJUCSWFS · pith_short_16: LR4DCJUCSWFSAAZG · pith_short_8: LR4DCJUC

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/LR4DCJUCSWFSAAZGBKBQHGEXOY \
  | 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: 5c78312682958b2003260a830398977604323eb1ccb4a1e95a6449758b529d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2427cec648c1f2fed1c74236be4535b98a01cc06a690f48fe094a851c2c54de",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-02T14:11:37Z",
    "title_canon_sha256": "e67c1e3982fe003195a5ea04be8964d2121c7e101d39929c87f2b6bcbc33dc19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0487",
    "kind": "arxiv",
    "version": 3
  }
}