Pith Number

pith:INEJKZ4V

pith:2022:INEJKZ4VHRWCNLEFY7LXKFEPFT

not attested not anchored not stored refs pending

When does the Auslander-Reiten translation operate linearly on the Grothendieck group? -- Part I

Carlo Klapproth

arxiv:2203.06238 v3 · 2022-03-11 · 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{INEJKZ4VHRWCNLEFY7LXKFEPFT}

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	2026-05-18T02:44:39.922926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43489567953c6c26ac85c7d775148f2ccea26c2d624a1d6f622ab458cd678a8c

Aliases

arxiv: 2203.06238 · arxiv_version: 2203.06238v3 · doi: 10.48550/arxiv.2203.06238 · pith_short_12: INEJKZ4VHRWC · pith_short_16: INEJKZ4VHRWCNLEF · pith_short_8: INEJKZ4V

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/INEJKZ4VHRWCNLEFY7LXKFEPFT \
  | 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: 43489567953c6c26ac85c7d775148f2ccea26c2d624a1d6f622ab458cd678a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80423036c4df8e8bf1a54933747cf0a3f7326631e4a211ff5ca5ec1287b22e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-03-11T20:44:29Z",
    "title_canon_sha256": "6e14f90af412517f01e30be2e3151ae192d8ade318555e2f92e226c8660acfa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.06238",
    "kind": "arxiv",
    "version": 3
  }
}