Pith Number

pith:BMHG4XNN

pith:2017:BMHG4XNNVQC4Z5FBXNYXC3XK6C

not attested not anchored not stored refs pending

Eisenstein series and equidistribution of Lebesgue probability measures on compact leaves of the horocycle foliations of Bianchi 3-orbifolds

Alberto Verjovsky, Otto Romero

arxiv:1710.07890 v2 · 2017-10-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMHG4XNNVQC4Z5FBXNYXC3XK6C}

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	2026-05-17T23:49:57.510753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b0e6e5dadac05ccf4a1bb71716eeaf0bf910a52d8449e26522ecc70b28714e8

Aliases

arxiv: 1710.07890 · arxiv_version: 1710.07890v2 · doi: 10.48550/arxiv.1710.07890 · pith_short_12: BMHG4XNNVQC4 · pith_short_16: BMHG4XNNVQC4Z5FB · pith_short_8: BMHG4XNN

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/BMHG4XNNVQC4Z5FBXNYXC3XK6C \
  | 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: 0b0e6e5dadac05ccf4a1bb71716eeaf0bf910a52d8449e26522ecc70b28714e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f355ed6a03a35e58868580dd4ec4a45fcb5e7a2125277d93c052d8a9aad41ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-22T05:18:50Z",
    "title_canon_sha256": "fd886dbafd7cc7cef80434ea73a2f4afea886b7df72f16dc8dfab6dcc9b2ee3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07890",
    "kind": "arxiv",
    "version": 2
  }
}