Pith Number

pith:QYWPI2RB

pith:2006:QYWPI2RB5YRRMJSVDNK27EK2CU

not attested not anchored not stored refs pending

The density of prime divisors in the arithmetic dynamics of quadratic polynomials

Rafe Jones

arxiv:math/0612415 v1 · 2006-12-14 · 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{QYWPI2RB5YRRMJSVDNK27EK2CU}

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.

Cited by

1 paper in Pith

2007: An Arboreal Odyssey: A View of Arboreal Galois Representations and Applications, from Early in the Subject's History

Receipt and verification

First computed	2026-05-18T02:57:45.356883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

862cf46a21ee231626551b55af915a151a1844b34bd69346775780274baad2ac

Aliases

arxiv: math/0612415 · arxiv_version: math/0612415v1 · doi: 10.48550/arxiv.math/0612415 · pith_short_12: QYWPI2RB5YRR · pith_short_16: QYWPI2RB5YRRMJSV · pith_short_8: QYWPI2RB

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/QYWPI2RB5YRRMJSVDNK27EK2CU \
  | 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: 862cf46a21ee231626551b55af915a151a1844b34bd69346775780274baad2ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74892e56d06a709926856a376b77cbc5a40d1839e60a246ccb583cc2138dad96",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-12-14T20:25:02Z",
    "title_canon_sha256": "d229e997077f9ac07f1534a28d946ba313a22ccc20ff4c6fa383cdcc8593275e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612415",
    "kind": "arxiv",
    "version": 1
  }
}