Pith Number

pith:AX6OP7PO

pith:2013:AX6OP7PO52PQSYU4N6GM5P3KH5

not attested not anchored not stored refs pending

Benedetto's trick and existence of rational preperiodic structures for quadratic polynomials

Xander Faber

arxiv:1305.0216 v1 · 2013-05-01 · 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{AX6OP7PO52PQSYU4N6GM5P3KH5}

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	2026-05-18T03:26:41.669069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05fce7fdeeee9f09629c6f8ccebf6a3f6270e30183d72aac31f43a9abc409f57

Aliases

arxiv: 1305.0216 · arxiv_version: 1305.0216v1 · doi: 10.48550/arxiv.1305.0216 · pith_short_12: AX6OP7PO52PQ · pith_short_16: AX6OP7PO52PQSYU4 · pith_short_8: AX6OP7PO

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/AX6OP7PO52PQSYU4N6GM5P3KH5 \
  | 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: 05fce7fdeeee9f09629c6f8ccebf6a3f6270e30183d72aac31f43a9abc409f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75d850d6ab15b71c470e9f2fe537ae58cd3e5e1eb9223b8c4decb84c6f660a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-01T16:20:23Z",
    "title_canon_sha256": "c11135d00e506af03eba49ab4a8e3d196b99ff25887a7eb0f793bf43c1b539a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0216",
    "kind": "arxiv",
    "version": 1
  }
}