Pith Number

pith:5TOH7NKR

pith:2010:5TOH7NKRUZTAYV4YRW7JHUPAGG

not attested not anchored not stored refs pending

The Integral Cluster Category

Bernhard Keller, Sarah Scherotzke

arxiv:1012.4743 v3 · 2010-12-21 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TOH7NKRUZTAYV4YRW7JHUPAGG}

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	2026-05-18T04:18:33.124636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecdc7fb551a6660c57988dbe93d1e031b78f10445002e18255be45670ae08f06

Aliases

arxiv: 1012.4743 · arxiv_version: 1012.4743v3 · doi: 10.48550/arxiv.1012.4743 · pith_short_12: 5TOH7NKRUZTA · pith_short_16: 5TOH7NKRUZTAYV4Y · pith_short_8: 5TOH7NKR

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/5TOH7NKRUZTAYV4YRW7JHUPAGG \
  | 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: ecdc7fb551a6660c57988dbe93d1e031b78f10445002e18255be45670ae08f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a391255e00990153f967b853dc3144c634c272b7ba83fa45f4af79aa50401d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-21T17:33:24Z",
    "title_canon_sha256": "9e4f965e0b2e06af0cea406d103319e91181ed1a2bbdfe38bc4eac5880287591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4743",
    "kind": "arxiv",
    "version": 3
  }
}