Pith Number

pith:ZK6BLGTT

pith:2013:ZK6BLGTTT5VDIPWBBOEJLTZMQ4

not attested not anchored not stored refs pending

Cluster algebras and singular supports of perverse sheaves

Hiraku Nakajima

arxiv:1301.5079 v2 · 2013-01-22 · math.QA · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK6BLGTTT5VDIPWBBOEJLTZMQ4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:34:15.763611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cabc159a739f6a343ec10b8895cf2c873e26a58541de9b9406f5d2fa1e580cc0

Aliases

arxiv: 1301.5079 · arxiv_version: 1301.5079v2 · doi: 10.48550/arxiv.1301.5079 · pith_short_12: ZK6BLGTTT5VD · pith_short_16: ZK6BLGTTT5VDIPWB · pith_short_8: ZK6BLGTT

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/ZK6BLGTTT5VDIPWBBOEJLTZMQ4 \
  | 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: cabc159a739f6a343ec10b8895cf2c873e26a58541de9b9406f5d2fa1e580cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e040b7ab3293401df86a31577c7d82c1a29939005bd5b03e0fc0036243b356e8",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-01-22T05:30:30Z",
    "title_canon_sha256": "388b3c1c003a0159dc67f3a436dde445252b198480bc03e41513dbf4d661b539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5079",
    "kind": "arxiv",
    "version": 2
  }
}