Pith Number

pith:47G3CWYM

pith:2019:47G3CWYMF2YOEJ674GKP5IXICM

not attested not anchored not stored refs pending

On Cross Sections to the Geodesic and Horocycle Flows on Quotients of $\operatorname{SL}(2, \mathbb{R})$ by Hecke Triangle Groups $G_q$

Diaaeldin Taha

arxiv:1906.07250 v1 · 2019-06-17 · 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{47G3CWYMF2YOEJ674GKP5IXICM}

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	2026-05-17T23:43:08.421797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7cdb15b0c2eb0e227dfe194fea2e81327d10061d8a660de125bacb1d3f54fe9

Aliases

arxiv: 1906.07250 · arxiv_version: 1906.07250v1 · doi: 10.48550/arxiv.1906.07250 · pith_short_12: 47G3CWYMF2YO · pith_short_16: 47G3CWYMF2YOEJ67 · pith_short_8: 47G3CWYM

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/47G3CWYMF2YOEJ674GKP5IXICM \
  | 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: e7cdb15b0c2eb0e227dfe194fea2e81327d10061d8a660de125bacb1d3f54fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99310e6b8635ba10384a4204fcb160914abd165f6ca77f409ebf5e36ba034b68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-17T20:26:27Z",
    "title_canon_sha256": "25fd03aeab8d4dc6b7b659be1610f7ba71a162b7e7b0db844a84a1aca1a3da46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07250",
    "kind": "arxiv",
    "version": 1
  }
}