Pith Number

pith:JFHYCIWU

pith:2007:JFHYCIWUJ2BNTG7ENDXRE7E3WR

not attested not anchored not stored refs pending

Cluster tilting for one-dimensional hypersurface singularities

Bernhard Keller, Idun Reiten, Igor Burban, Osamu Iyama

arxiv:0704.1249 v3 · 2007-04-10 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JFHYCIWUJ2BNTG7ENDXRE7E3WR}

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	2026-05-18T04:38:14.581404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

494f8122d44e82d99be468ef127c9bb462f08c6af675f40762432e5f5d3792fa

Aliases

arxiv: 0704.1249 · arxiv_version: 0704.1249v3 · doi: 10.48550/arxiv.0704.1249 · pith_short_12: JFHYCIWUJ2BN · pith_short_16: JFHYCIWUJ2BNTG7E · pith_short_8: JFHYCIWU

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/JFHYCIWUJ2BNTG7ENDXRE7E3WR \
  | 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: 494f8122d44e82d99be468ef127c9bb462f08c6af675f40762432e5f5d3792fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b3a6477bcaa9bb0606264b3e1845603ee294b6d754c911b864620d671e9643",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-04-10T14:38:26Z",
    "title_canon_sha256": "370b7dfc79decf8eab3b0aa48442d1756dd54d66295e2cb7d4cc7dedc9d9dfdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1249",
    "kind": "arxiv",
    "version": 3
  }
}