Pith Number

pith:V36OWMK3

pith:2010:V36OWMK3ENJBR6PWQ3TCM6IWRN

not attested not anchored not stored refs pending

Expansion in $SL_d(O_K/I)$, $I$ square-free

P\'eter P. Varj\'u

arxiv:1001.3664 v1 · 2010-01-20 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V36OWMK3ENJBR6PWQ3TCM6IWRN}

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	2026-05-18T03:55:47.326916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aefceb315b235218f9f686e62679168b65d8726091ac2d15c7b4529c0f5b512e

Aliases

arxiv: 1001.3664 · arxiv_version: 1001.3664v1 · doi: 10.48550/arxiv.1001.3664 · pith_short_12: V36OWMK3ENJB · pith_short_16: V36OWMK3ENJBR6PW · pith_short_8: V36OWMK3

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/V36OWMK3ENJBR6PWQ3TCM6IWRN \
  | 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: aefceb315b235218f9f686e62679168b65d8726091ac2d15c7b4529c0f5b512e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dce90d765fcc835c3f2264b47ce3342932f7ae828529dd148268c2021fa6047",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-20T20:24:02Z",
    "title_canon_sha256": "e1b840f6ea51f619422c1a43e94c7b2018079132e7ea53b7245274101cc78c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3664",
    "kind": "arxiv",
    "version": 1
  }
}