Pith Number

pith:K35ME5A2

pith:2015:K35ME5A2O2QYZAWNAWM3VOXDNJ

not attested not anchored not stored refs pending

Generic thinness in finitely generated subgroups of $\textrm{SL}_n(\mathbb Z)$

Elena Fuchs, Igor Rivin

arxiv:1506.01735 v1 · 2015-06-04 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K35ME5A2O2QYZAWNAWM3VOXDNJ}

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	2026-05-18T01:55:59.327277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56fac2741a76a18c82cd0599babae36a5d4f83f834550b48118402fb4143e101

Aliases

arxiv: 1506.01735 · arxiv_version: 1506.01735v1 · doi: 10.48550/arxiv.1506.01735 · pith_short_12: K35ME5A2O2QY · pith_short_16: K35ME5A2O2QYZAWN · pith_short_8: K35ME5A2

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/K35ME5A2O2QYZAWNAWM3VOXDNJ \
  | 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: 56fac2741a76a18c82cd0599babae36a5d4f83f834550b48118402fb4143e101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4981c6d1fa88532c6698260c897b2822f9a975ddfcc268195e89ff93e97ff56",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-04T21:45:25Z",
    "title_canon_sha256": "304fb5565b61e133fda0eeda824ce5e3b9dfd1f76023178c1ec87154fc3f92aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01735",
    "kind": "arxiv",
    "version": 1
  }
}