Pith Number

pith:TXCHUDNH

pith:2017:TXCHUDNHYNUXJ3OVZUUW5FTOR3

not attested not anchored not stored refs pending

On uniformly recurrent subgroups of finitely generated groups

Gabor Elek

arxiv:1702.01631 v1 · 2017-02-06 · math.DS · 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{TXCHUDNHYNUXJ3OVZUUW5FTOR3}

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	2026-05-18T00:51:22.808910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc47a0da7c36974edd5cd296e966e8ed37004bc3086dd2a17019a83d16b513b

Aliases

arxiv: 1702.01631 · arxiv_version: 1702.01631v1 · doi: 10.48550/arxiv.1702.01631 · pith_short_12: TXCHUDNHYNUX · pith_short_16: TXCHUDNHYNUXJ3OV · pith_short_8: TXCHUDNH

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/TXCHUDNHYNUXJ3OVZUUW5FTOR3 \
  | 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: 9dc47a0da7c36974edd5cd296e966e8ed37004bc3086dd2a17019a83d16b513b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baf296873704389124d9d0443c615eb9404f82b0305f262806f27af6b4b7d1d8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-06T14:41:42Z",
    "title_canon_sha256": "17646bb2d00934886c9c01691364ddc9a4f3ccc36d26ea0240ccbee9870dc60a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01631",
    "kind": "arxiv",
    "version": 1
  }
}