Pith Number

pith:YIEJHYCC

pith:2019:YIEJHYCCKRMZ75FA7NDSL7SI6V

not attested not anchored not stored refs pending

Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay

Frederic Naud, Jialun Li, Wenyu Pan

arxiv:1902.01103 v1 · 2019-02-04 · 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{YIEJHYCCKRMZ75FA7NDSL7SI6V}

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

Fourier decay of equilibrium states and the Fibonacci Hamiltonian

Receipt and verification

First computed	2026-07-05T05:43:44.190717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20893e04254599ff4a0fb4725fe48f56a5a88da20473f22d1af6a4bada2d18d

Aliases

arxiv: 1902.01103 · arxiv_version: 1902.01103v1 · doi: 10.48550/arxiv.1902.01103 · pith_short_12: YIEJHYCCKRMZ · pith_short_16: YIEJHYCCKRMZ75FA · pith_short_8: YIEJHYCC

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/YIEJHYCCKRMZ75FA7NDSL7SI6V \
  | 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: c20893e04254599ff4a0fb4725fe48f56a5a88da20473f22d1af6a4bada2d18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f94cd0c53d33743279c3b777111829cccd80f6cfdc4a05c6aa4de983f1ad33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-02-04T09:50:24Z",
    "title_canon_sha256": "bb3883bf42fbe057de7ee4362ac634715d6487b265f4ba4446ffa56d3043a65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01103",
    "kind": "arxiv",
    "version": 1
  }
}