Pith Number

pith:W5OE3PLU

pith:2017:W5OE3PLUODYUHGQG4BTFMXMCNR

not attested not anchored not stored refs pending

The Markoff Group of Transformations in Prime and Composite Moduli

Chen Meiri, Dan Carmon, Doron Puder

arxiv:1702.08358 v2 · 2017-02-27 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5OE3PLUODYUHGQG4BTFMXMCNR}

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	2026-05-18T00:00:45.997280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75c4dbd7470f1439a06e066565d826c7b6a9cca296f0d466a0093ba97c1e541

Aliases

arxiv: 1702.08358 · arxiv_version: 1702.08358v2 · doi: 10.48550/arxiv.1702.08358 · pith_short_12: W5OE3PLUODYU · pith_short_16: W5OE3PLUODYUHGQG · pith_short_8: W5OE3PLU

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/W5OE3PLUODYUHGQG4BTFMXMCNR \
  | 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: b75c4dbd7470f1439a06e066565d826c7b6a9cca296f0d466a0093ba97c1e541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6751a2aa97eea8af4f36446823499c8c8a855560a40ac8534c6487f0715bdc7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-27T16:29:23Z",
    "title_canon_sha256": "cf317a3e6499bdae49b353020f1c07f09be569180c5a8bfc095847c59ea92561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08358",
    "kind": "arxiv",
    "version": 2
  }
}