Pith Number

pith:ZMBNUSRK

pith:2012:ZMBNUSRK7GSK3TRJ4WNYYQ2YKD

not attested not anchored not stored refs pending

On compactly generated torsion pairs and the classification of co-t-structures for commutative noetherian rings

David Pospisil, Jan Stovicek

arxiv:1212.3122 v2 · 2012-12-13 · math.CT · math.AC · 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{ZMBNUSRK7GSK3TRJ4WNYYQ2YKD}

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.

Cited by

1 paper in Pith

Fishing for complements

Receipt and verification

First computed	2026-05-18T01:20:12.586925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb02da4a2af9a4adce29e59b8c435850f62e629c2d29f5b9f1c8b570f0da6a5f

Aliases

arxiv: 1212.3122 · arxiv_version: 1212.3122v2 · doi: 10.48550/arxiv.1212.3122 · pith_short_12: ZMBNUSRK7GSK · pith_short_16: ZMBNUSRK7GSK3TRJ · pith_short_8: ZMBNUSRK

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/ZMBNUSRK7GSK3TRJ4WNYYQ2YKD \
  | 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: cb02da4a2af9a4adce29e59b8c435850f62e629c2d29f5b9f1c8b570f0da6a5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18947bf2408dc7b34e58992c0fc91304bfb16723528ac6d936c85b426dedce43",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-12-13T10:52:14Z",
    "title_canon_sha256": "2a6dbb7a3acbe9d0ed45a085ec11389b91ede57097d770a24e0f5f15d48ebc19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3122",
    "kind": "arxiv",
    "version": 2
  }
}