Pith Number

pith:G77KUMGB

pith:2017:G77KUMGBOASHNQWXVDR6GU6L7U

not attested not anchored not stored refs pending

Quadratic rational functions with a rational periodic critical point of period 3

Michael Stoll, Solomon Vishkautsan

arxiv:1711.06345 v1 · 2017-11-16 · math.NT · 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{G77KUMGBOASHNQWXVDR6GU6L7U}

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	2026-05-18T00:30:21.389165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37feaa30c1702476c2d7a8e3e353cbfd1903d121538dc9971e3206489f9c861f

Aliases

arxiv: 1711.06345 · arxiv_version: 1711.06345v1 · doi: 10.48550/arxiv.1711.06345 · pith_short_12: G77KUMGBOASH · pith_short_16: G77KUMGBOASHNQWX · pith_short_8: G77KUMGB

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/G77KUMGBOASHNQWXVDR6GU6L7U \
  | 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: 37feaa30c1702476c2d7a8e3e353cbfd1903d121538dc9971e3206489f9c861f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0531084775a0e15f8250b1bb6211797cdc69a8011b47c00e0f55d41fce81c752",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-16T22:56:16Z",
    "title_canon_sha256": "4b56873367b8b3e54ab801895740a7d1f96dcf3ccf15b76da428ab4671b93004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06345",
    "kind": "arxiv",
    "version": 1
  }
}