Pith Number

pith:3GE2IA4O

pith:2008:3GE2IA4OEUAS7N423QJJVZVTSG

not attested not anchored not stored refs pending

On the Number of Rational Iterated Pre-images of the Origin Under Quadratic Dynamical Systems

Benjamin Hutz, Michael Stoll, Xander Faber

arxiv:0810.1715 v4 · 2008-10-09 · 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{3GE2IA4OEUAS7N423QJJVZVTSG}

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	2026-05-18T04:40:57.459928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d989a4038e25012fb79adc129ae6b3919ee77083720a3d864200f03cad8bd1ee

Aliases

arxiv: 0810.1715 · arxiv_version: 0810.1715v4 · doi: 10.48550/arxiv.0810.1715 · pith_short_12: 3GE2IA4OEUAS · pith_short_16: 3GE2IA4OEUAS7N42 · pith_short_8: 3GE2IA4O

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/3GE2IA4OEUAS7N423QJJVZVTSG \
  | 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: d989a4038e25012fb79adc129ae6b3919ee77083720a3d864200f03cad8bd1ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b6e84d156cb2ce6106331b177bcf5a8c7364e0c2c4bc3af1543307b887cfbd6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-10-09T18:36:33Z",
    "title_canon_sha256": "d6c0ea240c1ec30c81f681d3653ec5f7da96f9d06ff02df6d51e423e2f96c721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1715",
    "kind": "arxiv",
    "version": 4
  }
}