Pith Number

pith:FCPGNFT2

pith:2008:FCPGNFT23VKUUIV66U34NSCO7K

not attested not anchored not stored refs pending

Cluster algebras, quiver representations and triangulated categories

Bernhard Keller

arxiv:0807.1960 v11 · 2008-07-12 · math.RT · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCPGNFT23VKUUIV66U34NSCO7K}

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	2026-07-04T17:23:53.339059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

289e66967add554a22bef537c6c84efab9c7f547ec96d6b04d99eb1fcfe6fad5

Aliases

arxiv: 0807.1960 · arxiv_version: 0807.1960v11 · doi: 10.48550/arxiv.0807.1960 · pith_short_12: FCPGNFT23VKU · pith_short_16: FCPGNFT23VKUUIV6 · pith_short_8: FCPGNFT2

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/FCPGNFT23VKUUIV66U34NSCO7K \
  | 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: 289e66967add554a22bef537c6c84efab9c7f547ec96d6b04d99eb1fcfe6fad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a645ceb6da96f7218c27a74b2145cc54248a288eec61b67a5810f7dbcbb8f61",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-07-12T09:44:14Z",
    "title_canon_sha256": "a17dee59d7cb47f3fd32622de799bd628e3570536165ed250ba623399a4a9cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1960",
    "kind": "arxiv",
    "version": 11
  }
}