Pith Number

pith:SK2GA3LW

pith:2016:SK2GA3LWEHMDEZKQKQHPB47DWM

not attested not anchored not stored refs pending

Quasi-cotilting modules and torsion-free classes

Jiaqun Wei, Peiyu Zhang

arxiv:1601.01387 v1 · 2016-01-07 · math.RA · math.KT · 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{SK2GA3LWEHMDEZKQKQHPB47DWM}

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	2026-05-18T01:23:15.579036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92b4606d7621d8326550540ef0f3e3b33fce8fa852b9e36bcd33a88a558809cc

Aliases

arxiv: 1601.01387 · arxiv_version: 1601.01387v1 · doi: 10.48550/arxiv.1601.01387 · pith_short_12: SK2GA3LWEHMD · pith_short_16: SK2GA3LWEHMDEZKQ · pith_short_8: SK2GA3LW

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/SK2GA3LWEHMDEZKQKQHPB47DWM \
  | 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: 92b4606d7621d8326550540ef0f3e3b33fce8fa852b9e36bcd33a88a558809cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d4a42320958622fc5d092de2783d9994fa433256d8e3bad27251ee9d0d9a38",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-01-07T03:38:42Z",
    "title_canon_sha256": "20bdd6367112217ea9c0f22855571590ba9b91492d296ca897f902b02a8506b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01387",
    "kind": "arxiv",
    "version": 1
  }
}