Pith Number

pith:D7JYP7WT

pith:2017:D7JYP7WTXTT54IIYLZM3GHZBFG

not attested not anchored not stored refs pending

On Benjamini--Schramm limits of congruence subgroups

Arie Levit

arxiv:1705.04200 v2 · 2017-05-11 · 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{D7JYP7WTXTT54IIYLZM3GHZBFG}

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.

Cited by

1 paper in Pith

Applications of Almost Stationarity I: Quantitative Growth of Injectivity Radius and St\"{u}ck-Zimmer Theorem

Receipt and verification

First computed	2026-07-05T00:07:20.107358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd387fed3bce7de21185e59b31f21299a9124085b924dbd3fb43c6c4b17b1df

Aliases

arxiv: 1705.04200 · arxiv_version: 1705.04200v2 · doi: 10.48550/arxiv.1705.04200 · pith_short_12: D7JYP7WTXTT5 · pith_short_16: D7JYP7WTXTT54IIY · pith_short_8: D7JYP7WT

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/D7JYP7WTXTT54IIYLZM3GHZBFG \
  | 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: 1fd387fed3bce7de21185e59b31f21299a9124085b924dbd3fb43c6c4b17b1df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "836ba5ccca6b4b48e5f79f378359b2046355454a6e26e2823dae6240b3b82890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-11T14:25:29Z",
    "title_canon_sha256": "56fc9da0b2d16b91c3286ac3429303cd49702b8a7c49e8b7e84de0e15f66726c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04200",
    "kind": "arxiv",
    "version": 2
  }
}