Pith Number

pith:5Z5FMTBU

pith:2011:5Z5FMTBUTOIWDYBQHMMPMSOTMO

not attested not anchored not stored refs pending

Limit Theorems for Horocycle Flows

Alexander Bufetov, Giovanni Forni

arxiv:1104.4502 v1 · 2011-04-22 · math.DS · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Z5FMTBUTOIWDYBQHMMPMSOTMO}

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	2026-05-18T04:23:33.925334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee7a564c349b9161e0303b18f649d3638de45c4d5daa016c0e3f64f1d9a65885

Aliases

arxiv: 1104.4502 · arxiv_version: 1104.4502v1 · doi: 10.48550/arxiv.1104.4502 · pith_short_12: 5Z5FMTBUTOIW · pith_short_16: 5Z5FMTBUTOIWDYBQ · pith_short_8: 5Z5FMTBU

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/5Z5FMTBUTOIWDYBQHMMPMSOTMO \
  | 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: ee7a564c349b9161e0303b18f649d3638de45c4d5daa016c0e3f64f1d9a65885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa305e400492bfe820e5c6f3473738ac565e060eaacc0a5aead33f885df1b259",
    "cross_cats_sorted": [
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-04-22T20:10:38Z",
    "title_canon_sha256": "72b8bedead1e66c0425bc7b114bdbc0693545bc6a93a1c16e2badd31e6198ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4502",
    "kind": "arxiv",
    "version": 1
  }
}