Pith Number

pith:3L6F77LD

pith:2017:3L6F77LDIYNSADB32BYEC2RWPY

not attested not anchored not stored refs pending

Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \infty }$

Peter Jorgensen, Sira Gratz, Thorsten Holm

arxiv:1711.07528 v2 · 2017-11-20 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3L6F77LDIYNSADB32BYEC2RWPY}

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	2026-05-18T00:13:19.519482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dafc5ffd63461b200c3bd070416a367e3dc7444ecc1c22eac329014e963cacd8

Aliases

arxiv: 1711.07528 · arxiv_version: 1711.07528v2 · doi: 10.48550/arxiv.1711.07528 · pith_short_12: 3L6F77LDIYNS · pith_short_16: 3L6F77LDIYNSADB3 · pith_short_8: 3L6F77LD

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/3L6F77LDIYNSADB32BYEC2RWPY \
  | 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: dafc5ffd63461b200c3bd070416a367e3dc7444ecc1c22eac329014e963cacd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "620f9ec300f64ce86c36ed71766293fd67681e533b9d6043d5e50ad4984ad318",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-11-20T20:22:51Z",
    "title_canon_sha256": "e5df090a2712818e982003ab440ebce98d97f034ef505761731ec40942a1e360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07528",
    "kind": "arxiv",
    "version": 2
  }
}