Pith Number

pith:TSBE4CHA

pith:2011:TSBE4CHAPC7PZCAPCTEI5ETSJC

not attested not anchored not stored refs pending

Logarithm laws for one parameter unipotent flows

Amir Mohammadi, Dubi Kelmer

arxiv:1105.5325 v3 · 2011-05-26 · math.DS · 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{TSBE4CHAPC7PZCAPCTEI5ETSJC}

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	2026-05-18T01:03:37.365686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c824e08e078befc880f14c88e927248a8692154ff28aecb85e9dd5f79953019

Aliases

arxiv: 1105.5325 · arxiv_version: 1105.5325v3 · doi: 10.48550/arxiv.1105.5325 · pith_short_12: TSBE4CHAPC7P · pith_short_16: TSBE4CHAPC7PZCAP · pith_short_8: TSBE4CHA

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/TSBE4CHAPC7PZCAPCTEI5ETSJC \
  | 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: 9c824e08e078befc880f14c88e927248a8692154ff28aecb85e9dd5f79953019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84d2156b95505c3435f9c4176f859f52e4ba6837d12d779513f669fe6e56e1fd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-26T15:32:44Z",
    "title_canon_sha256": "6d299b19258e35d59e5726075f862306a4e2bfcfb52c8c678a95a9e1b450e83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5325",
    "kind": "arxiv",
    "version": 3
  }
}