Pith Number

pith:6JQMH5RO

pith:2021:6JQMH5RO76MTT6MWVLLUUU4CGW

not attested not anchored not stored refs pending

Zimmer's conjecture for non-uniform lattices: escape of mass and growth of cocycles

Aaron Brown, David Fisher, Sebastian Hurtado

arxiv:2105.14541 v3 · 2021-05-30 · math.DS · math.DG · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JQMH5RO76MTT6MWVLLUUU4CGW}

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

Actions of lattices in $S$-arithmetic groups on manifolds

Receipt and verification

First computed	2026-07-05T08:20:20.269240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f260c3f62eff9939f996aad74a5382359f48d3f905fc959e4267c8ffef5d525a

Aliases

arxiv: 2105.14541 · arxiv_version: 2105.14541v3 · doi: 10.48550/arxiv.2105.14541 · pith_short_12: 6JQMH5RO76MT · pith_short_16: 6JQMH5RO76MTT6MW · pith_short_8: 6JQMH5RO

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/6JQMH5RO76MTT6MWVLLUUU4CGW \
  | 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: f260c3f62eff9939f996aad74a5382359f48d3f905fc959e4267c8ffef5d525a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21858f4c825f869c8a8445c97799062ee05d450d9aad1abb02a40521e0b40d8e",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-05-30T13:39:46Z",
    "title_canon_sha256": "456f38807057f2f91bb3b09abba20655c6141f0c941497c61256e9b4c8b350f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.14541",
    "kind": "arxiv",
    "version": 3
  }
}