Pith Number

pith:DHSKPU6Q

pith:2008:DHSKPU6QHXFD352NCX7RJDNLHY

not attested not anchored not stored refs pending

Preprojective algebras and cluster algebras

Bernard Leclerc, Christof Geiss, Jan Schr\"oer

arxiv:0804.3168 v1 · 2008-04-19 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHSKPU6QHXFD352NCX7RJDNLHY}

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	2026-05-17T23:52:19.569893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19e4a7d3d03dca3df74d15ff148dab3e3397942f459ea1db3b9c68fa939022ac

Aliases

arxiv: 0804.3168 · arxiv_version: 0804.3168v1 · doi: 10.48550/arxiv.0804.3168 · pith_short_12: DHSKPU6QHXFD · pith_short_16: DHSKPU6QHXFD352N · pith_short_8: DHSKPU6Q

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/DHSKPU6QHXFD352NCX7RJDNLHY \
  | 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: 19e4a7d3d03dca3df74d15ff148dab3e3397942f459ea1db3b9c68fa939022ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4268bb953a3fa25759774fc2c06b9c80d5c08019b329c26911e5c92e45ac630",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-04-19T22:09:00Z",
    "title_canon_sha256": "b3c224edd4157d339da2afc1d9f6d7a90486604862afb4ef2111811b11bd5e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3168",
    "kind": "arxiv",
    "version": 1
  }
}