Pith Number

pith:XQHFJS3V

pith:2019:XQHFJS3VNP354LY6B4KFLWIWNZ

not attested not anchored not stored refs pending

Farey Sequences for Thin Groups

Christopher Lutsko

arxiv:1907.01854 v1 · 2019-07-03 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQHFJS3VNP354LY6B4KFLWIWNZ}

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	2026-05-17T23:41:34.796243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0e54cb756bf7de2f1e0f1455d9166e6f8dcfc74b864dc124be9049c323375c

Aliases

arxiv: 1907.01854 · arxiv_version: 1907.01854v1 · doi: 10.48550/arxiv.1907.01854 · pith_short_12: XQHFJS3VNP35 · pith_short_16: XQHFJS3VNP354LY6 · pith_short_8: XQHFJS3V

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/XQHFJS3VNP354LY6B4KFLWIWNZ \
  | 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: bc0e54cb756bf7de2f1e0f1455d9166e6f8dcfc74b864dc124be9049c323375c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219eaa56eca455843cc1718cab84f77cfa9cad6843360dc8568b2bc7117a43c2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-03T11:10:57Z",
    "title_canon_sha256": "afdc665802cd49c7a4e9708f543adf4e53ef6fe54174f293b95d131127173ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01854",
    "kind": "arxiv",
    "version": 1
  }
}