Pith Number

pith:2O5QRNYM

pith:2013:2O5QRNYMRIT7GMWNKTSR4AHIEY

not attested not anchored not stored refs pending

Automorphisms of cluster algebras of rank 2

Igor Dolgachev, J\'er\'emy Blanc

arxiv:1306.0753 v2 · 2013-06-04 · math.AC · math.AG · 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{2O5QRNYMRIT7GMWNKTSR4AHIEY}

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	2026-05-18T02:20:37.108025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3bb08b70c8a27f332cd54e51e00e8262dac72491c165a8c3c5a97e9d2ab341c

Aliases

arxiv: 1306.0753 · arxiv_version: 1306.0753v2 · doi: 10.48550/arxiv.1306.0753 · pith_short_12: 2O5QRNYMRIT7 · pith_short_16: 2O5QRNYMRIT7GMWN · pith_short_8: 2O5QRNYM

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/2O5QRNYMRIT7GMWNKTSR4AHIEY \
  | 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: d3bb08b70c8a27f332cd54e51e00e8262dac72491c165a8c3c5a97e9d2ab341c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c54a1f142b18b5bf9add793dffa5fb81b8f915890102547f2deb60751e50c6e4",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-06-04T12:46:22Z",
    "title_canon_sha256": "54d8e6c4259c74d8ed2109db2c183c25c635523c20c314c6f27d9fc78f11bd3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0753",
    "kind": "arxiv",
    "version": 2
  }
}