Pith Number

pith:7LMPQYGG

pith:2012:7LMPQYGGJ3B65WKLWTK3IZ6RGD

not attested not anchored not stored refs pending

Determination of all rational preperiodic points for morphisms of PN

Benjamin Hutz

arxiv:1210.6246 v3 · 2012-10-23 · 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{7LMPQYGGJ3B65WKLWTK3IZ6RGD}

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	2026-05-18T03:19:24.355896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fad8f860c64ec3eed94bb4d5b467d130cb67c949ae234edeae346aa788899ca3

Aliases

arxiv: 1210.6246 · arxiv_version: 1210.6246v3 · doi: 10.48550/arxiv.1210.6246 · pith_short_12: 7LMPQYGGJ3B6 · pith_short_16: 7LMPQYGGJ3B65WKL · pith_short_8: 7LMPQYGG

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/7LMPQYGGJ3B65WKLWTK3IZ6RGD \
  | 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: fad8f860c64ec3eed94bb4d5b467d130cb67c949ae234edeae346aa788899ca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d37a76bed018035a00c52b685ec66f0efd7179f0a0b7ed09b961436b0a9e03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-23T14:27:52Z",
    "title_canon_sha256": "175b9b16bda74d27ba41e595138ca957bb3fb1961bbe6c19eb6bdcc9c04f7fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6246",
    "kind": "arxiv",
    "version": 3
  }
}