Pith Number

pith:WQI4J7UG

pith:2017:WQI4J7UG4QEDTRPCXNOUT2ZGE7

not attested not anchored not stored refs pending

Ringel duality for certain strongly quasi-hereditary algebras

Joseph Karmazyn, Martin Kalck

arxiv:1711.00416 v2 · 2017-11-01 · 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{WQI4J7UG4QEDTRPCXNOUT2ZGE7}

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	2026-05-18T00:16:50.476432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b411c4fe86e40839c5e2bb5d49eb2627d2209219f23a4cd9669f4180d15255e8

Aliases

arxiv: 1711.00416 · arxiv_version: 1711.00416v2 · doi: 10.48550/arxiv.1711.00416 · pith_short_12: WQI4J7UG4QED · pith_short_16: WQI4J7UG4QEDTRPC · pith_short_8: WQI4J7UG

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/WQI4J7UG4QEDTRPCXNOUT2ZGE7 \
  | 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: b411c4fe86e40839c5e2bb5d49eb2627d2209219f23a4cd9669f4180d15255e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854dc756d1af3b5b5c0f34ab297a3ff5b5ae6d3df8563be4498c480616e98bd3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-11-01T16:13:07Z",
    "title_canon_sha256": "df4b0019c2f6d79ebfc9c35e78ec82265c8a0ba5aea4832acdb08196c89b86aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00416",
    "kind": "arxiv",
    "version": 2
  }
}