Pith Number

pith:IUWAOC5F

pith:2010:IUWAOC5FFLUEJMQK52CXCWA4MF

not attested not anchored not stored refs pending

Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type A_n

Martin Rubey, Peter Jorgensen, Thorsten Holm

arxiv:1010.1184 v3 · 2010-10-06 · 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{IUWAOC5FFLUEJMQK52CXCWA4MF}

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	2026-05-18T04:26:54.588743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

452c070ba52ae844b20aee8571581c6164a26225567e50925567f385e9ed9542

Aliases

arxiv: 1010.1184 · arxiv_version: 1010.1184v3 · doi: 10.48550/arxiv.1010.1184 · pith_short_12: IUWAOC5FFLUE · pith_short_16: IUWAOC5FFLUEJMQK · pith_short_8: IUWAOC5F

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/IUWAOC5FFLUEJMQK52CXCWA4MF \
  | 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: 452c070ba52ae844b20aee8571581c6164a26225567e50925567f385e9ed9542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca1d0de28962ce0a033d60ca2a711fda22bda6479ec5d88ad4ea7d5fafc22e8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-10-06T15:50:40Z",
    "title_canon_sha256": "1ec503dafae7bb9d7f45d202a73b8c423d8bb1df00f4ff157c88cadf51c741e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1184",
    "kind": "arxiv",
    "version": 3
  }
}