pith. sign in
Pith Number

pith:2QBGK56R

pith:2009:2QBGK56RAIZJ2TOI4J3HKRG3TF
not attested not anchored not stored refs pending

Clones with finitely many relative R-classes

\'Agnes Szendrei, Erkko Lehtonen

arxiv:0905.1611 v3 · 2009-05-11 · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2QBGK56RAIZJ2TOI4J3HKRG3TF}

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 2026-05-18T00:57:38.793962Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d4026577d102329d4dc8e2767544db997751568f654918841f2a748596280127

Aliases

arxiv: 0905.1611 · arxiv_version: 0905.1611v3 · doi: 10.48550/arxiv.0905.1611 · pith_short_12: 2QBGK56RAIZJ · pith_short_16: 2QBGK56RAIZJ2TOI · pith_short_8: 2QBGK56R
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2QBGK56RAIZJ2TOI4J3HKRG3TF \
  | 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: d4026577d102329d4dc8e2767544db997751568f654918841f2a748596280127
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5ecc8b9d4cc30f9efd3338ba287bde612369fd2e31a6215f062b2e71e80ec4ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-05-11T12:48:49Z",
    "title_canon_sha256": "3e0ef67be9783bf633f8d27df03df5de87427c6457224e3e88bad6e9bf79887f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1611",
    "kind": "arxiv",
    "version": 3
  }
}