Pith Number

pith:PNLHXZO3

pith:2014:PNLHXZO33FB7CYOLXVFYSKD4VY

not attested not anchored not stored refs pending

Effective equidistribution for some unipotent flows in $PSL(2, \mathbb{R})^k$ mod cocompact, irreducible lattice

James Tanis

arxiv:1412.5353 v4 · 2014-12-17 · 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{PNLHXZO33FB7CYOLXVFYSKD4VY}

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	2026-05-18T00:09:04.415039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b567be5dbd943f161cbbd4b89287cae0e0a62850af834e45998a75bfef264c9

Aliases

arxiv: 1412.5353 · arxiv_version: 1412.5353v4 · doi: 10.48550/arxiv.1412.5353 · pith_short_12: PNLHXZO33FB7 · pith_short_16: PNLHXZO33FB7CYOL · pith_short_8: PNLHXZO3

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/PNLHXZO33FB7CYOLXVFYSKD4VY \
  | 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: 7b567be5dbd943f161cbbd4b89287cae0e0a62850af834e45998a75bfef264c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e61cc8ec60befaf54d4f9630903ba9e2e34b1b76166427883e020a44fb1937",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-17T12:01:14Z",
    "title_canon_sha256": "29ebc626a598caae277585a388a64c3edda763903f7d812ea842cd4d4ef90a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5353",
    "kind": "arxiv",
    "version": 4
  }
}