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Pith Number

pith:O5GJQQUR

pith:2013:O5GJQQURRWZLSO4PHCTRDVNCDP
not attested not anchored not stored refs pending

Precovering and preenveloping ideals

Furuzan Ozbek

arxiv:1304.7707 v1 · 2013-04-29 · math.RA · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O5GJQQURRWZLSO4PHCTRDVNCDP}

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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 2026-05-18T03:26:53.292807Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

774c9842918db2b93b8f38a711d5a21bebdcae7d7d5f05370b31f5df97e5f35c

Aliases

arxiv: 1304.7707 · arxiv_version: 1304.7707v1 · doi: 10.48550/arxiv.1304.7707 · pith_short_12: O5GJQQURRWZL · pith_short_16: O5GJQQURRWZLSO4P · pith_short_8: O5GJQQUR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O5GJQQURRWZLSO4PHCTRDVNCDP \
  | 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: 774c9842918db2b93b8f38a711d5a21bebdcae7d7d5f05370b31f5df97e5f35c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "18b89cd8882990f2daf0ddbd5ddd6abd4c9180b5de11c738343fd7f8064153e1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-04-29T16:39:04Z",
    "title_canon_sha256": "b2ac012658855965aeccadcb25393c52c67e782141ced83e3f56f216a6cb23ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7707",
    "kind": "arxiv",
    "version": 1
  }
}