Pith Number

pith:NZ34TVAO

pith:2021:NZ34TVAOWXDYDNTGEPP722W2EH

not attested not anchored not stored refs pending

Torsion pairs and Ringel duality for Schur algebras

Karin Erdmann, Stacey Law

arxiv:2104.05317 v1 · 2021-04-12 · 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{NZ34TVAOWXDYDNTGEPP722W2EH}

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	2026-07-05T02:31:11.095642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e77c9d40eb5c781b66623dffd6ada21e19bfd052abd09ca34f67feca829c25c

Aliases

arxiv: 2104.05317 · arxiv_version: 2104.05317v1 · doi: 10.48550/arxiv.2104.05317 · pith_short_12: NZ34TVAOWXDY · pith_short_16: NZ34TVAOWXDYDNTG · pith_short_8: NZ34TVAO

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/NZ34TVAOWXDYDNTGEPP722W2EH \
  | 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: 6e77c9d40eb5c781b66623dffd6ada21e19bfd052abd09ca34f67feca829c25c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5dc4892f6c53f616582ca3f23d3f2ac0f5c4bf441a1efef1cfb1fd1b4a8ce53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-04-12T09:57:29Z",
    "title_canon_sha256": "4148c7e11418702367dfb9a55c403d65141b4e45d0389ff2603d6db86481179a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.05317",
    "kind": "arxiv",
    "version": 1
  }
}